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Relay Control Design for Robust Stabilization in a Finite-Time

Andrey Polyakov 1, 2 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 - UMR 9189
Abstract : The problem of robust finite-time stabilization of perturbed multi-input linear system by means of generalized relay feedback is considered. A new control design procedure, which combines convex embedding technique with Implicit Lyapunov Function (ILF) method, is developed. The sufficient conditions for both local and global finite-time stabilization are provided. The issues of practical implementation of the obtained implicit relay feedback are discussed. Our theoretical result is supported by numerical simulation for a Buck converter.
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Submitted on : Wednesday, July 20, 2016 - 3:34:26 PM
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Andrey Polyakov, Laurentiu Hetel. Relay Control Design for Robust Stabilization in a Finite-Time. IEEE Transactions on Automatic Control, 2016, ⟨10.1109/TAC.2016.2591725⟩. ⟨hal-01347196⟩



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