Editorial pass 3: Strategic coherence improvements

- Improved transitions between sections
- Enhanced logical flow in arguments
- Clarified connections between concepts
- Maintained consistent narrative thread
- Ensured clear signposting throughout
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\end{enumerate} \end{enumerate}
% IMPACT PARAGRAPH Innovation % IMPACT PARAGRAPH Innovation
\textbf{What makes this research new?} No existing methodology achieves end-to-end correctness guarantees for hybrid systems. Section 2 shows that prior work verified discrete logic or continuous dynamics—never both compositionally. This work unifies discrete synthesis with continuous verification through a key innovation: discrete specifications become contracts that continuous controllers must satisfy. Each layer verifies independently while guaranteeing correct composition. Formal methods verify discrete logic. Control theory verifies continuous dynamics. Together, these three outcomes—procedure translation, continuous verification, and hardware demonstration—establish a complete methodology spanning from regulatory documents to deployed systems. \textbf{What makes this research new?} No existing methodology achieves end-to-end correctness guarantees for hybrid systems. Section 2 shows that prior work verified discrete logic or continuous dynamics—never both compositionally. This work unifies discrete synthesis with continuous verification through a key innovation: discrete specifications become contracts that continuous controllers must satisfy. Each layer verifies independently while guaranteeing correct composition. Together, these three outcomes—procedure translation, continuous verification, and hardware demonstration—establish a complete methodology spanning from regulatory documents to deployed systems.
% Outcome Impact % Outcome Impact
If successful, control engineers will create autonomous controllers from existing procedures with mathematical proofs of correct behavior. This makes high-assurance autonomous control practical for safety-critical applications—a capability essential for the economic viability of next-generation nuclear power. Small modular reactors offer a promising solution to growing energy demands. Their success depends on reducing per-megawatt operating costs through increased autonomy. This research provides the tools to achieve that autonomy while maintaining the exceptional safety record the nuclear industry requires. If successful, control engineers will create autonomous controllers from existing procedures with mathematical proofs of correct behavior. This makes high-assurance autonomous control practical for safety-critical applications. Such capability is essential for the economic viability of next-generation nuclear power. Small modular reactors offer a promising solution to growing energy demands. Their success depends on reducing per-megawatt operating costs through increased autonomy. This research provides the tools to achieve that autonomy while maintaining the exceptional safety record the nuclear industry requires.
This proposal follows the Heilmeier Catechism. Each section explicitly answers its assigned questions: This proposal follows the Heilmeier Catechism. Each section explicitly answers its assigned questions:
\begin{itemize} \begin{itemize}

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\subsubsection{Expulsory Modes} \subsubsection{Expulsory Modes}
Transitory and stabilizing modes handle nominal operations—transitory modes move the plant between conditions while stabilizing modes maintain it within regions. Both assume the plant dynamics match the design model. Transitory and stabilizing modes handle nominal operations. Transitory modes move the plant between conditions. Stabilizing modes maintain it within regions. Both assume the plant dynamics match the design model.
Expulsory modes address a different scenario: situations where the plant deviates from expected behavior. This deviation may result from component failures, sensor degradation, or unanticipated disturbances. Here, robustness matters more than optimality. Expulsory modes address a different scenario: situations where the plant deviates from expected behavior. This deviation may result from component failures, sensor degradation, or unanticipated disturbances. For expulsory modes, robustness matters more than optimality.
Expulsory controllers prioritize robustness over optimality. The control objective shifts from reaching targets or maintaining regions to driving the plant to a safe shutdown state from potentially anywhere in the state space, under degraded or uncertain dynamics. Examples include emergency core cooling, reactor SCRAM sequences, and controlled depressurization procedures. Expulsory controllers prioritize robustness over optimality. The control objective shifts from reaching targets or maintaining regions to driving the plant to a safe shutdown state from potentially anywhere in the state space, under degraded or uncertain dynamics. Examples include emergency core cooling, reactor SCRAM sequences, and controlled depressurization procedures.