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On energetically optimal finite-time stabilization

Andrey Polyakov 1 Denis Efimov 1 Xubin Ping 2 
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : The problem of finite-time stabilization of a linear plant with an optimization of both a settling time and an weighted/averaged control energy is studied using the concept of generalized homogeneity. It is shown that the optimal finite-time stabilizing control in this case can be designed solving a simple linear algebraic equation. Some issues of a practical applicability and a robustness of the obtained control law are studied.
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https://hal.inria.fr/hal-03313472
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Submitted on : Wednesday, August 4, 2021 - 9:42:03 AM
Last modification on : Thursday, March 24, 2022 - 3:43:44 AM
Long-term archiving on: : Friday, November 5, 2021 - 6:28:10 PM

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  • HAL Id : hal-03313472, version 1

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Andrey Polyakov, Denis Efimov, Xubin Ping. On energetically optimal finite-time stabilization. IEEE Conference on Decision and Control, Dec 2021, Austin, United States. ⟨hal-03313472⟩

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