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Peak Estimation for Uncertain and Switched Systems

Abstract : Peak estimation bounds extreme values of a function of state along trajectories of a dynamical system. This paper focuses on extending peak estimation to continuous and discrete settings with timeindependent and time-dependent uncertainty. Techniques from optimal control are used to incorporate uncertainty into an existing occupation measure-based peak estimation framework, which includes special consideration for handling switching uncertainties. The resulting infinite-dimensional linear programs can be solved approximately with Linear Matrix Inequalities arising from the moment-SOS hierarchy.
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https://hal.archives-ouvertes.fr/hal-03181056
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Submitted on : Thursday, March 25, 2021 - 1:47:32 PM
Last modification on : Wednesday, November 17, 2021 - 5:13:29 PM
Long-term archiving on: : Saturday, June 26, 2021 - 6:48:04 PM

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  • HAL Id : hal-03181056, version 1

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Jared Miller, Didier Henrion, Mario Sznaier, Milan Korda. Peak Estimation for Uncertain and Switched Systems. IEEE Conference on Decision and Control 2021, Dec 2021, Austin, Texas, United States. ⟨hal-03181056⟩

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