Arithmetic-Geometric Mean Robustness for Control from Signal Temporal Logic Specifications

Noushin Mehdipour, Cristian Ioan Vasile, and Calin Belta. Arithmetic-Geometric Mean Robustness for Control from Signal Temporal Logic Specifications. In American Control Conference (ACC), Philadelphia, PA, USA, July 2019. (accepted).

Published date: 
Wednesday, July 10, 2019
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Abstract

We present a new average-based robustness score for Signal Temporal Logic (STL) and a framework for optimal control of a dynamical system under STL constraints. By averaging the scores of different specifications or subformulae at different time points, our new definition highlights the frequency of satisfaction, as well as how robustly each specification is satisfied at each time point. We show that this definition provides a better score for how well a specification is satisfied. Its usefulness in monitoring and control synthesis problems is illustrated through case studies.