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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 : Tuesday, October 25, 2022 - 11:58:11 AM
Long-term archiving on: : Saturday, June 26, 2021 - 6:48:04 PM

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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 (CDC 2021), Dec 2021, Austin, Texas, United States. ⟨10.1109/CDC45484.2021.9683778⟩. ⟨hal-03181056⟩

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