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
2 Xidian University

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.

Domaines: Automatique

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⟩