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@ -427,11 +427,11 @@ reachable within time horizon $T$:
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\text{Reach}(\mathcal{X}_{entry}, f_i, [0,T]) \cap \mathcal{X}_{exit} \neq \emptyset
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\]
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\textcolor{blue}{Because the discrete controller defines clear boundaries in continuous state
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Because the discrete controller defines clear boundaries in continuous state
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space, the verification problem for each transitory mode is well-posed. We know
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the possible initial conditions, we know the target conditions, and we know the
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safety envelope. The verification task is to confirm that the candidate
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continuous controller achieves the objective from all possible starting points.}
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continuous controller achieves the objective from all possible starting points.
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Several tools exist for computing reachable sets of hybrid
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systems, including CORA, Flow*, SpaceEx, and JuliaReach. The choice of tool
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168
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168
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\contentsline {section}{\numberline {1}Goals and Outcomes}{1}{}%
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\contentsline {section}{\numberline {2}State of the Art and Limits of Current Practice}{3}{}%
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\contentsline {subsection}{\numberline {2.1}Current Reactor Procedures and Operation}{3}{}%
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\contentsline {subsection}{\numberline {2.3}Formal Methods}{5}{}%
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\contentsline {subsubsection}{\numberline {2.3.2}Sequent Calculus and Differential Dynamic Logic}{6}{}%
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\contentsline {section}{\numberline {3}Research Approach}{8}{}%
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\contentsline {subsection}{\numberline {3.1}System Requirements, Specifications, and Discrete Controllers}{9}{}%
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\contentsline {subsection}{\numberline {3.2}Continuous Control Modes}{13}{}%
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\contentsline {subsection}{\numberline {3.3}Industrial Implementation}{17}{}%
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\contentsline {section}{\numberline {4}Metrics for Success}{18}{}%
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\contentsline {paragraph}{TRL 3 \textit {Critical Function and Proof of Concept}}{18}{}%
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\contentsline {paragraph}{TRL 4 \textit {Laboratory Testing of Integrated Components}}{18}{}%
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\contentsline {paragraph}{TRL 5 \textit {Laboratory Testing in Relevant Environment}}{19}{}%
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\contentsline {section}{\numberline {5}Risks and Contingencies}{20}{}%
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\contentsline {subsection}{\numberline {5.1}Computational Tractability of Synthesis}{20}{}%
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||||
\contentsline {section}{\numberline {6}Broader Impacts}{24}{}%
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\contentsline {section}{\numberline {7}Schedule, Milestones, and Deliverables}{26}{}%
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||||
\contentsline {subsection}{\numberline {7.1}Milestones and Deliverables}{26}{}%
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\contentsline {section}{References}{27}{}%
|
||||
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|
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\contentsline {subsection}{\numberline {2.3}Formal Methods}{4}{}%
|
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\contentsline {subsubsection}{\numberline {2.3.1}HARDENS}{4}{}%
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||||
\contentsline {section}{\numberline {3}Research Approach}{7}{}%
|
||||
\contentsline {subsection}{\numberline {3.1}System Requirements, Specifications, and Discrete Controllers}{8}{}%
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||||
\contentsline {subsection}{\numberline {3.2}Continuous Control Modes}{11}{}%
|
||||
\contentsline {subsubsection}{\numberline {3.2.1}Transitory Modes}{12}{}%
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\contentsline {subsubsection}{\numberline {3.2.2}Stabilizing Modes}{12}{}%
|
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\contentsline {subsubsection}{\numberline {3.2.3}Expulsory Modes}{13}{}%
|
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\contentsline {subsection}{\numberline {3.3}Industrial Implementation}{14}{}%
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||||
\contentsline {section}{\numberline {4}Metrics for Success}{15}{}%
|
||||
\contentsline {paragraph}{TRL 3 \textit {Critical Function and Proof of Concept}}{15}{}%
|
||||
\contentsline {paragraph}{TRL 4 \textit {Laboratory Testing of Integrated Components}}{15}{}%
|
||||
\contentsline {paragraph}{TRL 5 \textit {Laboratory Testing in Relevant Environment}}{15}{}%
|
||||
\contentsline {section}{\numberline {5}Risks and Contingencies}{17}{}%
|
||||
\contentsline {subsection}{\numberline {5.1}Computational Tractability of Synthesis}{17}{}%
|
||||
\contentsline {subsection}{\numberline {5.2}Discrete-Continuous Interface Formalization}{17}{}%
|
||||
\contentsline {subsection}{\numberline {5.3}Procedure Formalization Completeness}{18}{}%
|
||||
\contentsline {section}{\numberline {6}Broader Impacts}{20}{}%
|
||||
\contentsline {section}{\numberline {7}Schedule, Milestones, and Deliverables}{22}{}%
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\contentsline {subsection}{\numberline {7.1}Milestones and Deliverables}{22}{}%
|
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\contentsline {section}{References}{23}{}%
|
||||
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||||
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Reference in New Issue
Block a user