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%% $$ \int_{0\-}^{\infty} f(t).e^{-s.t}.dt \; | \; s \in \mathcal{C}$$
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%% $$ \int_{0\-}^{\infty} f(t).e^{-s.t}.dt \; | \; s \in \mathcal{C}$$
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This thesis describes the application of, mathematical (formal) techniques to
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\paragraph{Safety Critical Controllers, knowledge and culture sub-disiplines}
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the design of safety critical systems.
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The maturing of the application of the programmable electronic controller (PEC)
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The initial motivation for this study was to create a system
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for a wide range safety critical applications, has led to a fragmentation of subdisiplines
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applicable to industrial burner controllers.
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which speak imperfectly to one another.
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The methodology developed was designed to cope with
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The main three sub-disiplines are Electrical, Software and Mechanical engineering.
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both the
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Additional disiplines are defined by application area of the PEC. These sub-displines
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deterministic
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are in turn split into even finer units.
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and
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The practicioners of these fields tend to view a PEC in different ways.
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probablistic approaches.
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Discoveries and culture in one field diffuse only slowly into the conciousness of a specialist in another.
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Too often, one disipline's unproven assumptions or working methods, are treated as firm boundary conditions
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for an overlapping field.
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\paragraph{Safety Assessment/analysis of PEC's}
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For a anyone responsible for ensuring or proving the safety of a PEC must be able
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to understand the process being controlled, the mechanical and electrical
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sensors and actuators and the software. Not only must the
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safety engineer understand more than four potential disiplines, he/she
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must be able to trace failure modes of components to SYSTEM levels failure modes,
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and classify these according to their criticallity.
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\paragraph{Desirability of a common failure mode notation}
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Having a common failure mode notation accross all disciplines in a project
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would allow all the specialists to prepare failure mode
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analysis and then bring them together to model the PEC.
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\paragraph{Scope of thesis}
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This thesis describes the application of, a common notation mathematical notation to
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describe the design of safety critical systems/PEC's.
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The initial motivation for this study was to create a system
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applicable to industrial burner controllers\footnote{Burner Controllers cover the disiplines of
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combustion, high pressure steam and hot water, mechanical control, electronics and embedded software.}.
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The methodology developed was designed to cope with
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both the deterministic\footnote{Deterministic failure mode analysis traces failure mode effects} and probablistic approaches
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\footnote{Probablistic failure mode analysis tries to determine the probability of given SYSTEM failure modes}.
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\paragraph{Visual form of the notation}
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The visual notation developed was initially designed for electronic fault modelling.
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The visual notation developed was initially designed for electronic fault modelling.
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However, it was realised that it could be applied to mechanical and software domains as well.
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The notation deals with failure modes of components using a diagram derived from
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Euler and Spider diagrams.
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However, as the notation dealt with generic failure modes, it was realised that it could be applied to mechanical and software domains as well.
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This changed the target for the study slightly to encompass these three domains in a common notation.
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This changed the target for the study slightly to encompass these three domains in a common notation.
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\section{Background}
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\section{Background}
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