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On energetically optimal finite-time stabilization


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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hal-03313472 , version 1 (04-08-2021)


  • HAL Id : hal-03313472 , version 1


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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