Thesis/1-goals-and-outcomes/research_statement_v1.tex
Split d13f9bc117 Copy-edit: Multi-level editorial pass (tactical/operational/strategic)
Pass 1 (Tactical - Sentence-level):
- Strengthened verb constructions throughout
- Improved issue-point positioning per Gopen principles
- Enhanced topic-stress relationships for clearer flow
- Reduced redundant phrasing (e.g., 'either...or' instead of 'discrete or continuous')

Pass 2 (Operational - Paragraph/section):
- Tightened transitions between paragraphs
- Reduced redundancy in section transitions
- Improved coherence within major subsections
- Streamlined topic strings across paragraph boundaries

Pass 3 (Strategic - Document-level):
- Verified Heilmeier question alignment in each section
- Strengthened section-to-section linkages
- Ensured consistent logical flow throughout proposal
- Clarified 'who cares, why now, what difference' narrative

Focus: clarity and impact over nitpicking. Changes preserve technical accuracy while improving readability.
2026-03-09 17:42:28 -04:00

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% GOAL PARAGRAPH
This research develops autonomous control systems that provide mathematical guarantees of safe and correct behavior.
% INTRODUCTORY PARAGRAPH Hook
Nuclear reactors today require human operators to follow detailed written procedures and switch between control objectives as plant conditions change.
% Gap
Small modular reactors face a fundamental economic challenge: staffing costs per megawatt far exceed those of conventional plants, threatening economic viability. Autonomous control could manage complex operational sequences without constant supervision—but only if safety assurance equals or exceeds that of human operators.
% APPROACH PARAGRAPH Solution
This research unifies formal methods from computer science with control theory to produce hybrid control systems correct by construction.
% Rationale
Human operators already work this way: discrete logic switches between continuous control modes. Formal methods generate provably correct switching logic but cannot verify continuous dynamics. Control theory verifies continuous behavior but cannot prove discrete logic correctness. Both are required for end-to-end correctness.
% Hypothesis and Technical Approach
Three stages bridge this gap. First, NASA's Formal Requirements Elicitation Tool (FRET) translates written operating procedures into temporal logic specifications, structuring requirements by scope, condition, component, timing, and response. Realizability checking then exposes conflicts and ambiguities before implementation begins. Second, reactive synthesis generates deterministic automata that are provably correct by construction. Third, reachability analysis verifies that continuous controllers—designed by engineers using standard control theory—satisfy each discrete mode's requirements.
Continuous modes classify by control objective into three types. Transitory modes drive the plant between conditions. Stabilizing modes maintain operation within regions. Expulsory modes ensure safety under failures. Barrier certificates and assume-guarantee contracts prove mode transitions are safe. This enables local verification without global trajectory analysis. The methodology demonstrates on an Emerson Ovation control system—the industrial platform nuclear power plants already use.
% Pay-off
This approach manages complex nuclear power operations autonomously while maintaining safety guarantees. It directly addresses the economic constraints threatening small modular reactor viability.
% OUTCOMES PARAGRAPHS
This research, if successful, produces three concrete outcomes:
\begin{enumerate}
% OUTCOME 1 Title
\item \textit{Synthesize written procedures into verified control logic.}
% Strategy
The methodology converts written operating procedures into formal specifications.
Reactive synthesis tools then generate discrete control logic from these specifications.
% Outcome
Control engineers can generate mode-switching controllers directly from regulatory
procedures with minimal formal methods expertise, reducing barriers to
high-assurance control systems.
% OUTCOME 2 Title
\item \textit{Verify continuous control behavior across mode transitions.}
% Strategy
Reachability analysis verifies that continuous control modes satisfy discrete
transition requirements.
% Outcome
Engineers design continuous controllers using standard practices while
maintaining formal correctness guarantees. Mode transitions occur safely and at
the correct times—provably.
% OUTCOME 3 Title
\item \textit{Demonstrate autonomous reactor startup control with safety
guarantees.}
% Strategy
This methodology demonstrates on a small modular reactor simulation using industry-standard control hardware.
% Outcome
Control engineers implement high-assurance autonomous controls on
industrial platforms they already use, enabling autonomy without retraining
costs or new equipment development.
\end{enumerate}