OK good bash at it.... better cycle home...
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@ -885,17 +885,20 @@ We now analyse this hardware/software combined {\fg}.
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2: ${VREF}$ & ADC volt-ref & $VV\_ERR$ \\
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& incorrect & \\ \hline
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%%% FORGOT THAT ONE !!!!! 04OCT2012 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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3: ${ADC\_TIMEOUT}$ & ADC volt-ref & $VV\_ERR$ \\
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& incorrect & \\ \hline
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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3: $CMATV_{V\_ERR}$ & voltage value & $VV\_ERR$ \\
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4: $CMATV_{V\_ERR}$ & voltage value & $VV\_ERR$ \\
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& incorrect & \\ \hline
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4: $CMATV_{HIGH}$ & ADC may read & $HIGH$ \\
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5: $CMATV_{HIGH}$ & ADC may read & $HIGH$ \\
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& wrong channel & \\ \hline
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5: $CMATV_{LOW}$ & output low & $LOW$ \\ \hline
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6: $CMATV_{LOW}$ & output low & $LOW$ \\ \hline
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\hline
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@ -1,5 +1,5 @@
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DIAPNG= three_tree.png component.png fmmd_env_op_uml.png fmmd_exm_h.png master_uml.png mvampcircuit.png mvamp.png n_inv_dc.png pd.png pd_euler2.png pd_euler.png
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DIAPNG= three_tree.png component.png fmmd_env_op_uml.png fmmd_exm_h.png master_uml.png mvampcircuit.png mvamp.png n_inv_dc.png pd.png pd_euler2.png pd_euler.png contract_function.png hd.png
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%.png:%.dia
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dia -t png $<
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@ -12,12 +12,15 @@
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%\newcommand{\fgs}{\em functional~groups}
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\newcommand{\fg}{\em functional~grouping}
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\newcommand{\fgs}{\em functional~groupings}
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\newcommand{\fm}{\em failure~mode}
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\newcommand{\fms}{\em failure~modes}
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\newcommand{\dc}{\em derived~component}
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\newcommand{\dcs}{\em derived~components}
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\newcommand{\bc}{\em base~component}
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\newcommand{\bcs}{\em base~components}
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\newcommand{\irl}{in~real~life}
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\newcommand{\derivec}{\ensuremath{\mathcal{\bowtie}}}
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%\newcommand{\derivec}{\ensuremath{\mathcal{\bowtie}}}
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\newcommand{\derivec}{\ensuremath{{D}}}
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\newcommand{\ft}{\ensuremath{4\!\!\rightarrow\!\!20mA} }
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\begin{document}
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@ -29,7 +32,7 @@
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\begin{itemize}
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\pause \item FMMD is a modularised variant of FMEA
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\pause \item FMMD can model integrated mechanical, electrical and software systems.
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\pause \item FMMD has efficiency benefits (re-use reduced complexity of checking) compared to traditional FMEA
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\pause \item FMMD has efficiency benefits (pre analysed component re-use, over-all reduced complexity of checking) compared to traditional FMEA
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\pause \item FMMD models can be used to assist in the production of traditional FMEA based
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methodologies (PFMEA, FMECA, FMEDA FTA etc.)
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\end{itemize}
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@ -205,7 +208,7 @@ double failure scenarios (for burner lock-out scenarios).
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\frametitle{Four main Variants of FMEA}
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\begin{itemize}
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\pause \item \textbf{PFMEA - Production} \pause Car Manufacture etc
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\pause \item \textbf{FMECA - Criticallity} \pause Military/Space
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\pause \item \textbf{FMECA - Criticality} \pause Military/Space
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\pause \item \textbf{FMEDA - Statistical safety} \pause EN61508/IOC1508 \pause Safety Integrity Levels
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\pause \item \textbf{DFMEA - Design or static/theoretical} \pause EN298/EN230/UL1998
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\end{itemize}
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@ -1050,7 +1053,7 @@ missed in an analysis.
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\textbf{Conclusion: FMMD}
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\begin{itemize}
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\pause \item Addresses State Explosion
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\pause \item Addresses State Explosion (single and multiple failure models)
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\pause \item Addresses total coverage of all components and their failure modes
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\pause \item Provides traceable reasoning
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\pause \item derived components are re-use-able
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@ -1065,14 +1068,16 @@ missed in an analysis.
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%\paragraph{Current work on Software FMEA}
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\begin{itemize}
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\pause \item SFMEA is performed in isolation to hardware FMEA
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\pause \item SFMEA considers all variables within a function as potentially corruptible ---
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\pause this means a large number of combinations --- databases
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to track the relationships between variables
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\pause \item SFMEA maps variable corruption for {\fms} ---
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\pause this means a large number of combinations --- \pause automated SFMEA
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\pause databases
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\pause tracking the relationships between variable corruption
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and system failure modes
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\pause \item %Because of the large number of combinations for considering all variables as corruptible
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automated SFMEA
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%\pause \item %Because of the large number of combinations for considering all variables as corruptible
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% automated SFMEA
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\pause \item Some schools of thought recommend combining SFTA with SFMEA
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\pause \item FMMD is different, allows integrated hardware and software models
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\end{itemize}
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% SFMEA usually does not seek to integrate
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% hardware and software models, but to perform
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@ -1095,22 +1100,57 @@ and system failure modes
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\end{frame}
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\subsection{Software and FMMD}
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\begin{frame}
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\frametitle{FMMD - How to apply this to software}
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Clearly we need to be able to represent software failure modes
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in a clear and modular model.
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\pause
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\begin{figure}[h]
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\centering
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\includegraphics[width=100pt]{./contract_function.png}
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% contract_function.png: 181x256 pixel, 72dpi, 6.39x9.03 cm, bb=0 0 181 256
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\caption{Design by Contract Programmatic Function}
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\label{fig:dbcpf}
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\end{figure}
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\end{frame}
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\begin{frame}
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\frametitle{FMMD - How to apply this to software}
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\begin{figure}[h]
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\centering
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\includegraphics[width=35pt]{./contract_function.png}
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% contract_function.png: 181x256 pixel, 72dpi, 6.39x9.03 cm, bb=0 0 181 256
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\caption{Design by Contract Programmatic Function}
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\label{fig:dbcpf}
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\end{figure}
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\begin{itemize}
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\pause \item Software is already modular call tree, function hierarchy \pause A function can be considered as a {\fg}
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\pause \item A function has inputs and outputs \pause these can correspond to failure modes
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and symptoms of failure for the function
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\pause \item We can apply contract programming, giving a function pre and post conditions
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\pause \item A function has inputs and outputs, and a task to perform
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\pause \item contract programming \pause , giving a function invariants, pre and post conditions
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{FMMD - How to apply this to software}
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\begin{figure}[h]
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\centering
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\includegraphics[width=35pt]{./contract_function.png}
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% contract_function.png: 181x256 pixel, 72dpi, 6.39x9.03 cm, bb=0 0 181 256
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\caption{Design by Contract Programmatic Function}
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\label{fig:dbcpf}
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\end{figure}
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\begin{itemize}
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\pause \item Pre condition violations are analogous to component failure modes
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\pause \item Post condition violations are analogous to symptoms of failure of the function
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\pause \item Post condition violations are analogous to symptoms of failure of the function \pause derived component failure modes
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\end{itemize}
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\end{frame}
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@ -1173,17 +1213,440 @@ General Failure behaviour of {\ft} signalling
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% current signal into a voltage that we can read with an ADC.%
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\end{frame}
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\begin{frame}
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\frametitle{FMMD - Example integrated hardware/software system --- {\ft} input}
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If we consider the software at the top of the failure mode hierarchy
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the hardware is at the bottom.
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\pause
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Yourdon, afferent---transform---efferent data flow, in an embedded system our
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sensors---data processing/software---actuators.
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So the electronics are the bottom.
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Starting with the bottom-up for this {\ft} input, we have the resistor
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\end{frame}
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\subsection{Example Electrical and Software system FMMD Analysis}
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\begin{frame}
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\frametitle{FMMD - Example integrated hardware/software system --- {\ft} input}
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\begin{figure}[h]
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\centering
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\includegraphics[width=150pt]{./ftcontext.png}
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% ftcontext.png: 767x385 pixel, 72dpi, 27.06x13.58 cm, bb=0 0 767 385
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\caption{Context Diagram for {\ft} loop}
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\label{fig:ftcontext}
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\end{figure}
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\pause
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Starting with the bottom-up for this {\ft} input, we have the resistor and the ADC.
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The resistor converts current to voltage and the ADC allows us to read the voltage.
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\end{frame}
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\begin{frame}
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\frametitle{FMMD - Example integrated hardware/software system --- {\ft} input}
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\begin{figure}[h]
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\centering
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\includegraphics[width=100pt]{./ftcontext.png}
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% ftcontext.png: 767x385 pixel, 72dpi, 27.06x13.58 cm, bb=0 0 767 385
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\caption{Context Diagram for {\ft} loop}
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\label{fig:ftcontext}
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\end{figure}
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\pause
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Bottom level {\fg}:
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$G_1 = \{ R, ADC \},$
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\pause
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$ fm(R) = \{ OPEN, SHORT \},$
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\pause
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$ fm(ADC) = \{ ADC_{STUCKAT} , ADC_{MUXFAIL} , ADC_{LOW} , ADC_{HIGH} \} .$
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\end{frame}
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%\subsection{Example Electrical and Software system FMMD Analysis}
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\begin{frame}
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\frametitle{FMMD - Example integrated hardware/software system --- {\ft} input}
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% \begin{figure}[h]
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% \centering
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% \includegraphics[width=100pt]{./ftcontext.png}
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% % ftcontext.png: 767x385 pixel, 72dpi, 27.06x13.58 cm, bb=0 0 767 385
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% \caption{Context Diagram for {\ft} loop}
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% \label{fig:ftcontext}
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% \end{figure}
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% \pause
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{ \tiny
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\begin{table}[h+]
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\caption{$G_1$: Failure Mode Effects Analysis: Convert mA to Voltage (CMATV)} % title of Table
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\label{tbl:cmatv}
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\begin{tabular}{|| l | c | l ||} \hline
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\textbf{Failure} & \textbf{failure} & \textbf{Symptom} \\
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\textbf{Scenario} & \textbf{effect} & \textbf{ADC } \\ \hline
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\hline
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1: $R_{OPEN}$ & resistor open, & $HIGH$ \\
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& voltage on pin high & \\ \hline
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2: $R_{SHORT}$ & resistor shorted, & $LOW$ \\
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& voltage on pin low & \\ \hline
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3: $ADC_{STUCKAT}$ & ADC reads out & $V\_ERR$ \\
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& fixed value & \\ \hline
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4: $ADC_{MUXFAIL}$ & ADC may read & $V\_ERR$ \\
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& wrong channel & \\ \hline
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5: $ADC_{LOW}$ & output low & $LOW$ \\
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6: $ADC_{HIGH}$ & output high & $HIGH$ \\ \hline
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\hline
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\hline
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\end{tabular}
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\end{table}
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\pause
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We can express this using the `$\derivec$' function thus:
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$ CMATV = \; \derivec (G_1) .$ As its failure modes are the symptoms of failure from the functional group we can now state:
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$fm ( CMATV ) = \{ HIGH , LOW, V\_ERR \} .$
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}
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\end{frame}
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\begin{frame}
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\frametitle{FMMD - Example integrated hardware/software system --- {\ft} input}
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\begin{figure}[h]
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\centering
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\includegraphics[width=100pt]{./ftcontext.png}
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% ftcontext.png: 767x385 pixel, 72dpi, 27.06x13.58 cm, bb=0 0 767 385
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\caption{Context Diagram for {\ft} loop}
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\label{fig:ftcontext}
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\end{figure}
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\pause
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We have analysed the hardware for our {\ft} input.
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\pause
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We must now look at the software.
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\end{frame}
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\subsection{Software {\ft} input}
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\begin{frame}
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\frametitle{FMMD - Example integrated hardware/software system --- {\ft} input}
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\begin{figure}[h]
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\centering
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\includegraphics[width=100pt]{./ftcontext.png}
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% ftcontext.png: 767x385 pixel, 72dpi, 27.06x13.58 cm, bb=0 0 767 385
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\caption{Context Diagram for {\ft} loop}
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\label{fig:ftcontext}
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\end{figure}
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We consider two software functions, $ fm(Read\_ADC) = \{ CHAN\_NO, VREF \} $ which is called by
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$ fm(read\_4\_20\_input) = \{ VRNGE \} .$ \pause
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As $Read\_ADC$ is the function called it is lower in the call tree hierarchy. \pause
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We form a {\fg} with $CMATV$ and this software function.
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\end{frame}
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\begin{frame}
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\frametitle{FMMD - Example integrated hardware/software system --- {\ft} input}
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\begin{figure}[h]
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\centering
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\includegraphics[width=120pt]{./read_adc.jpg}
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% read_adc.jpg: 452x514 pixel, 96dpi, 11.96x13.60 cm, bb=0 0 339 386
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\caption{Software Function: \textbf{read\_ADC}}
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\label{fig:read_ADC()}
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\end{figure}
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\end{frame}
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\begin{frame}
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\frametitle{FMMD - Example integrated hardware/software system --- {\ft} input}
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\begin{figure}[h]
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\centering
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\includegraphics[width=32pt]{./read_adc.jpg}
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% read_adc.jpg: 452x514 pixel, 96dpi, 11.96x13.60 cm, bb=0 0 339 386
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\caption{Software Function: \textbf{read\_ADC}}
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\label{fig:read_ADC()}
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\end{figure}
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\begin{itemize}
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\pause \item validate mux channel number
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\pause \item Set MUX
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\pause \item initiate ADC read
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\pause \item read value
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\pause \item return value to calling function
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{FMMD - Example integrated hardware/software system --- {\ft} input}
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\begin{figure}[h]
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\centering
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\includegraphics[width=32pt]{./read_adc.jpg}
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% read_adc.jpg: 452x514 pixel, 96dpi, 11.96x13.60 cm, bb=0 0 339 386
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\caption{Software Function: \textbf{read\_ADC}}
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\label{fig:read_ADC()}
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\end{figure}
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Pre-conditions
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\begin{itemize}
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\pause \item MUX channel number in range
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\pause \item No timeout on ADC read
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\pause \item ADC Vref out of range
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\end{itemize}
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Post-conditions
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\begin{itemize}
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\pause \item in range (0...1023) value from ADC/MUX returned
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{FMMD - Example integrated hardware/software system --- RADC function}
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Treating the read\_ADC() function as a {\fg}.
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The pre-conditions that can be violated are ADC\_TIMEOUT, MUX\_CHAN, ADC\_VREF.
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We could term the failure modes of this function as
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\{ ADC\_TIMEOUT\_OCCURS, INCORRECT\_MUX\_CHAN, INCORRECT\_VREF \}
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\pause
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We now create a {\fg} called RADC consisting of read\_ADC() and the hardware it interface directly with: CMATV.
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\end{frame}
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\begin{frame}
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\frametitle{FMMD - Example integrated hardware/software system --- RADC function}
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{
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\tiny
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\begin{table}[h+]
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\caption{$G_2$: Failure Mode Effects Analysis: Read\_ADC (RADC) and CMATV} % title of Table
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\label{tbl:radc}
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\begin{tabular}{|| l | c | l ||} \hline
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\textbf{Failure} & \textbf{failure} & \textbf{Symptom} \\
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\textbf{Scenario} & \textbf{effect} & \textbf{RADC } \\ \hline
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\hline
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1: ${INCORRECT\_MUX\_CHAN}$ & wrong voltage & $VV\_ERR$ \\
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& read & \\ \hline
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2: ${INCORRECT_VREF}$ & ADC volt-ref & $VV\_ERR$ \\
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& incorrect & \\ \hline
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3: ${ADC\_TIMEOUT\_OCCURS}$ & ADC volt-ref & $VV\_ERR$ \\
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& incorrect & \\ \hline
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4: $CMATV_{V\_ERR}$ & voltage value & $VV\_ERR$ \\
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& incorrect & \\ \hline
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5: $CMATV_{HIGH}$ & ADC reads & $HIGH$ \\
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& high voltage & \\ \hline
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6: $CMATV_{HIGH}$ & ADC reads & $LOW$ \\
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& low voltage & \\ \hline
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\hline
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\hline
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\end{tabular}
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\end{table}
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}
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\end{frame}
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\begin{frame}
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Collecting symptoms, we can now create a {\dc} RADC, with the following failure modes: $ fm(RADC) = \{ VV\_ERR, HIGH, LOW \} .$
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\pause
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We now have a model in which we have electronic and software
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modules represented.
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\pause
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We can now look at the second software function.
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\end{frame}
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%
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% \begin{frame}
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% \frametitle{FMMD - Example integrated hardware/software system --- read\_4\_20_input}
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% % \begin{figure}[h]
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% \centering
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% \includegraphics[width=120pt]{./read_4_20_input.jpg}
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% % read_adc.jpg: 452x514 pixel, 96dpi, 11.96x13.60 cm, bb=0 0 339 386
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% \caption{Software Function: \textbf{read\_4\_20_input()}}
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% \label{fig:read_4_20_input}
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% \end{figure}
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%end{frame}
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|
||||
\begin{frame}
|
||||
\begin{figure}[h]
|
||||
\centering
|
||||
\includegraphics[width=160pt]{./read_4_20_input.jpg}
|
||||
% read_4_20_input.jpg: 452x514 pixel, 96dpi, 11.96x13.60 cm, bb=0 0 339 386
|
||||
\caption{Read 4 to 20mA input function}
|
||||
\label{fig:read_4_20_input}
|
||||
\end{figure}
|
||||
|
||||
\end{frame}
|
||||
|
||||
|
||||
|
||||
\begin{frame}
|
||||
|
||||
|
||||
\begin{figure}[h]
|
||||
\centering
|
||||
\includegraphics[width=60pt]{./read_4_20_input.jpg}
|
||||
% read_4_20_input.jpg: 452x514 pixel, 96dpi, 11.96x13.60 cm, bb=0 0 339 386
|
||||
\caption{Read 4 to 20mA input function}
|
||||
\label{fig:read_4_20_input}
|
||||
\end{figure}
|
||||
|
||||
This function has one pre-condition, the voltage range ($0.88V \leftrightarrow 4.4V$)
|
||||
and one postcondition {\ft} current mapped to per-mil integer output.
|
||||
|
||||
We could term the failure mode of this function, voltage out of range, as
|
||||
\{ VRNGE \}.
|
||||
|
||||
\end{frame}
|
||||
|
||||
|
||||
|
||||
|
||||
\begin{frame}
|
||||
|
||||
{
|
||||
\tiny
|
||||
\begin{table}[h+]
|
||||
\caption{$G_3$: Read\_4\_20: Failure Mode Effects Analysis} % title of Table
|
||||
\label{tbl:r420i}
|
||||
|
||||
\begin{tabular}{|| l | c | l ||} \hline
|
||||
\textbf{Failure} & \textbf{failure} & \textbf{Symptom} \\
|
||||
\textbf{Scenario} & \textbf{effect} & \textbf{RADC } \\ \hline
|
||||
\hline
|
||||
1: $RI_{VRGE}$ & voltage & $OUT\_OF\_$ \\
|
||||
& outside range & $RANGE$ \\ \hline
|
||||
|
||||
2: $RADC_{VV_ERR}$ & voltage & $VAL\_ERR$ \\
|
||||
& incorrect & \\ \hline
|
||||
|
||||
|
||||
3: $RADC_{HIGH}$ & voltage value & $VAL\_ERR$ \\
|
||||
& incorrect & \\ \hline
|
||||
|
||||
|
||||
|
||||
4: $RADC_{LOW}$ & ADC may read & $OUT\_OF\_$ \\
|
||||
& wrong channel & $RANGE$ \\ \hline
|
||||
\hline
|
||||
\end{tabular}
|
||||
\end{table}
|
||||
}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
We can finally make a {\dc} to represent a failure mode model for our function $read\_4\_20\_input$ (R420I) thus:
|
||||
%
|
||||
$ R420I = \; \derivec(G_3) .$
|
||||
%
|
||||
This new {\dc} has the following {\fms}:
|
||||
$$fm(R420I) = \{OUT\_OF\_RANGE, VAL\_ERR\} .$$
|
||||
\end{frame}
|
||||
|
||||
|
||||
\begin{frame}
|
||||
\begin{figure}[h]
|
||||
\centering
|
||||
\includegraphics[width=150pt,keepaspectratio=true]{./hd.png}
|
||||
% hd.png: 416x381 pixel, 72dpi, 14.68x13.44 cm, bb=0 0 416 381
|
||||
\caption{FMMD Hierarchy for {\ft} input}
|
||||
\label{fig:hd}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
|
||||
|
||||
\begin{frame}
|
||||
|
||||
\section{Conclusion}
|
||||
%
|
||||
\begin{itemize}
|
||||
\item FMMD models integrated mechanical/electrical/software systems
|
||||
\pause \item Each {\fg} to {\dc} transition represents a documented
|
||||
reasoning stage.
|
||||
\pause \item Unlike SFMEA software failure modes naturally link with hardware failure modes
|
||||
\pause \item Added efficiency benefits
|
||||
\pause \item Additionally, using FMMD we can determine a failure model for the hardware/software interface~\cite{sfmeainterface}.
|
||||
\end{itemize}
|
||||
|
||||
|
||||
Questions ?
|
||||
%The FMMD method has been demonstrated using the industry standard {\ft}
|
||||
%input circuit and software.
|
||||
%
|
||||
% \pause
|
||||
% The {\dc} representing the {\ft} reader
|
||||
% shows that by taking a modular approach for FMEA, i.e. FMMD, we can integrate
|
||||
% software and electro-mechanical models.
|
||||
% %
|
||||
% \pause
|
||||
% With this analysis
|
||||
% we have stages along the `reasoning~path' linking the failure modes from the
|
||||
% electronics to those in the software.
|
||||
% Each {\fg} to {\dc} transition represents a
|
||||
% reasoning stage.
|
||||
% %
|
||||
% \pause
|
||||
% With traditional FMEA methods the reasoning~distance is large, because
|
||||
% it stretches from the component failure mode to the top---or---system level failure.
|
||||
% %For this reason applying traditional FMEA to software stretches
|
||||
% %the reasoning distance even further.
|
||||
% %
|
||||
% We now have a {\dc} for a {\ft} input. % in software.
|
||||
% Typically, more than one such input could be present in a real-world system: we can thus
|
||||
% %Not only have we integrated electronics and software in an FMEA, we can also
|
||||
% re-use this analysis for each {\ft} input in the system.
|
||||
% \pause
|
||||
% %
|
||||
% %The unsolved symptoms, or unobservable errors, i.e. $VAL\_ERR$ could be addressed
|
||||
% %by another software function to read other known signals
|
||||
% %via the MUX (i.e. voltage references). This strategy would
|
||||
% %detect ADC\_STUCK\_AT and MUX\_FAIL failure modes.
|
||||
%
|
||||
%Detailing this however, is beyond the scope %and page-count
|
||||
%of this paper.
|
||||
%
|
||||
%A software specification for a hardware interface will concentrate on
|
||||
%how to interpret raw readings, or what signals to apply for actuators.
|
||||
%Additionally, using FMMD we can determine a failure model for the hardware/software interface~\cite{sfmeainterface}. % interface as well.
|
||||
|
||||
\end{frame}
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
\end{document}
|
||||
|
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Reference in New Issue
Block a user