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Journal Articles (Review Article) IEEE Transactions on Automatic Control Year : 2023

Energetically optimal finite-time stabilization of generalized homogeneous linear systems

Abstract

The problem of finite-time stabilization of a linear plant with an optimization of both a settling time and an averaged/weighted 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 by means of solving a simple linear algebraic equation. Robustness of the obtained control law is studied.
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hal-03993740 , version 1 (17-02-2023)

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  • HAL Id : hal-03993740 , version 1

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Andrey Polyakov, Denis Efimov, Xubin Ping. Energetically optimal finite-time stabilization of generalized homogeneous linear systems. IEEE Transactions on Automatic Control, inPress. ⟨hal-03993740⟩
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