Dane Sabo
02a536b3f3
M .sessions/Journal.vim M .sessions/nvim_config.vim M Writing/ERLM/dane_proposal_format.cls M Writing/ERLM/main.fdb_latexmk M Writing/ERLM/main.fls M Writing/ERLM/main.log M Writing/ERLM/main.pdf M Writing/ERLM/main.synctex.gz
75 lines
3.5 KiB
TeX
75 lines
3.5 KiB
TeX
\documentclass{dane_proposal_format}
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\begin{document}
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\maketitle
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\section{Goals and Outcomes}
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The goal of this research is to use formal methods to create control systems
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that can switch between operating modes with a high assurance of correct
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construction. Modern control systems today often exist as hybrid control
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systems. Hybrid systems are those that have both continuous and discrete
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dynamics. Because of this, hybrid systems cannot be fully analyzed using only
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tools from continuous or discrete methods. Today, hybrid control systems are
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unable to be completely verified, that is to say we do not currently have ways
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of being building hybrid control systems that we can be certain meet high level
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strategic objectives, or who's behavior is totally understood.
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The ambiguity on hybrid system behavior is problematic when one of the most
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useful cases of hybrid system control is for improved autonomy of critical
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systems. Nuclear power is a salient example. For a nuclear reactor during
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start-up, every mode of power from initially cold-start, to controlled core
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heating, and eventually full operating power is well understood dynamically.
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For each of these modes, significant portions of the control are optimized using
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automated controllers for each stage. The problem that remains for human
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operators is choosing when to switch from control law to the next, and ensuring
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that the proper conditions are met to do so--but these conditions are also
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clearly defined in regulation and operating procedures a priori.
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We can use the fact that these transition points are well understood in
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combination with formal methods to synthesize the discrete part of a hybrid
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system. From that point, we can have a robust chain of proof that our discrete
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jumps will happen only at the correct times. Once that is established, we can
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use reachability analysis and traditional control theory to ensure that each
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operation 'mode' satisfies liveness, stability, or performance requirements.
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With the combination of these two methods, we can be sure of correct behavior
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switching between modes, and that strategic goals remain met while transitioning
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from one mode switch to the next.
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If this research is successful, we will be able to do the following:
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\begin{enumerate}
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\item
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\textbf{Formalize} mode switching requirements as logical statements that
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can then be translated into a controller implementation. This piece will
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address the correct-by-construction generation of the mode switching
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controller.
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\item
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\textbf{Categorize} different continuous modes by their strategic relevance.
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Certain modes exist as control laws from one mode to the next, such as a
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controlled heating rate on reactor start-up before reaching operational
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conditions. Other modes exist as stable regions, such as full-power
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operation.
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\item
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\textbf{Verify} continuous modes and accompanying continuous control laws
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satisfy strategic requirements. This can be done with reachability analysis,
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and ensuring that each mode transition as allowed from the requirements
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synthesis squares up against the reachability analysis and the continuous
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dynamics.
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\item
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\textbf{Prove} that a given hybrid system achieves strategic goals across
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hybrid control modes. By seperately formalizing and analyzing continuous
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dyanmics and discrete dynamics, we can come back to say the whole hybrid
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system has met a strong guarantee of requirement adherence.
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\end{enumerate}
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\bibliography{references}
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\end{document}
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