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Finite-time stabilization under state constraints

Abstract : The problem of finite-time stabilization of linear systems under state and control input constraints in the presence of external disturbances is addressed. The proposed control is designed such that the closed-loop system is 1) superstable, when system trajectories risk to violate the state constraints, and 2) homogeneous with a negative degree, otherwise. While the former property ensures the fulfillment of the state and control constraints, the latter implies finite-time stability. The robustness of the control scheme with respect to disturbances is studied. Theoretical results are supported by numerical simulations.
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https://hal.inria.fr/hal-03439142
Contributor : Denis Efimov Connect in order to contact the contributor
Submitted on : Monday, November 22, 2021 - 10:18:26 AM
Last modification on : Tuesday, November 22, 2022 - 2:26:16 PM
Long-term archiving on: : Wednesday, February 23, 2022 - 6:25:50 PM

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  • HAL Id : hal-03439142, version 1

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Artem N Nekhoroshikh, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti, Igor B Furtat. Finite-time stabilization under state constraints. Proc. 60th IEEE Conference on Decision and Control (CDC), Dec 2021, Austin, United States. ⟨hal-03439142⟩

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