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Conference Papers Year : 2021

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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Dates and versions

hal-03439142 , version 1 (22-11-2021)

Identifiers

  • HAL Id : hal-03439142 , version 1

Cite

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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