On Finite-time Stabilization via Relay Feedback Control

Andrey Polyakov 1 Laurentiu Hetel 2
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : — The problem of finite-time stabilization of multi-input linear system by means of relay feedback is considered. A new control design procedure, which combines convex embedding technique with implicit Lyapunov function method, is developed. The issues of practical implementation of the obtained implicit relay feedback are discussed. Theoretical result is supported by numerical simulation.
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Andrey Polyakov, Laurentiu Hetel. On Finite-time Stabilization via Relay Feedback Control. Conference on Decision and Control 2015, IEEE, Dec 2015, Osaka, Japan. ⟨hal-01212598⟩

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