Thesis/1-goals-and-outcomes/research_statement_v1.tex

% GOAL PARAGRAPH
This research develops a methodology for creating autonomous control systems
with guaranteed safe and correct behavior.

% INTRODUCTORY PARAGRAPH Hook
Extensively trained operators manage nuclear reactor control by following detailed written procedures. These operators interpret plant conditions and decide when to switch between control objectives.
% Gap
Small modular reactors face a fundamental economic challenge: their per-megawatt staffing costs significantly exceed those of conventional plants. Without autonomous control, this economic constraint threatens their viability. Autonomous control systems must therefore manage complex operational sequences safely, without constant supervision, while providing assurance equal to—or better than—human-operated systems.

% APPROACH PARAGRAPH Solution
We combine formal methods from computer science with control theory to
build hybrid control systems that are correct by construction. 
% Rationale
Hybrid systems mirror operator behavior: discrete
logic switches between continuous control modes. Existing formal methods
generate provably correct switching logic but fail to handle continuous dynamics
during transitions. Control theory verifies continuous behavior but
lacks tools to prove discrete switching correctness. 
% Hypothesis and Technical Approach
A three-stage methodology bridges this gap. First, we translate written
operating procedures into temporal logic specifications using NASA's Formal
Requirements Elicitation Tool (FRET). FRET structures requirements into scope,
condition, component, timing, and response elements. Realizability
checking identifies conflicts and ambiguities before implementation.
Second, reactive synthesis generates deterministic automata provably
correct by construction.
Third, we design continuous controllers for each discrete mode using standard
control theory and verify them using reachability analysis. We classify continuous modes based on
their transition objectives, then employ assume-guarantee contracts and barrier
certificates to prove mode transitions occur safely. This approach enables local verification of continuous modes
without requiring global trajectory analysis across the entire hybrid system. An
Emerson Ovation control system demonstrates this methodology. 
% Pay-off
This approach demonstrates that autonomous control can manage complex nuclear
power operations while maintaining safety guarantees, directly addressing the economic constraints threatening small modular reactor viability.

% OUTCOMES PARAGRAPHS
If this research is successful, we will be able to do the following:
\begin{enumerate}
  % OUTCOME 1 Title
  \item \textit{Synthesize written procedures into verified control logic.} 
    % Strategy
    We will develop a methodology for converting written operating procedures
    into formal specifications. Reactive synthesis tools generate
    discrete control logic from these specifications.
    % Outcome
    Control engineers generate mode-switching controllers 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 provably occur safely and at
    the correct times.

    % OUTCOME 3  Title
  \item \textit{Demonstrate autonomous reactor startup control with safety
    guarantees.}
    % Strategy
    A small modular reactor simulation using industry-standard control hardware
    implements this methodology.
    % 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}