Minimax observer for sliding mode control design

Sergiy Zhuk 1 Andrey Polyakov 2, 3
3 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
Abstract : We consider the classical reaching problem of sliding mode control design , that is to find a control law which steers the state of a Linear Time-Invariant (LTI) system towards a given hyperplane in a finite time. Since the LTI system is subject to unknown but bounded disturbances we apply the minimax observer which provides the best possible estimate of the system's state. The reaching problem is then solved in observer's state space by constructing a feedback control law. The cases of discontinuous and continuous admissible feedbacks are studied. The theoretical results are illustrated by numerical simulations.
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Submitted on : Tuesday, November 29, 2016 - 3:17:13 PM
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Sergiy Zhuk, Andrey Polyakov. Minimax observer for sliding mode control design. Recent Trends in Sliding Mode Control, 2016, 978-1-78561-076-9. ⟨10.1049/PBCE102E_ch2.2⟩. ⟨hal-01405115⟩

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