Continuous and Discrete State Estimation in Linear Switched Systems by Sliding Mode Observers with Residuals' Projection

Thierry Floquet 1, 2 Diego Mincarelli 1 Alessandro Pisano 3
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 : This paper addresses the problem of simultaneous discrete and continuous state reconstruction in the framework of linear autonomous switched systems. Main ingredient of the approach is a stack of sliding mode observers producing suitable residual signals. These residuals are used for reconstructing the discrete state and, at the same time, for identifying the unique observer of the stack that provides an asymptotically converging estimate of the continuous state. The main result and most significant novelty of this work is a projection procedure for deriving residuals characterized by finite-time convergence. These finite-time converging projected residuals allow a faster reconstruction of the system's discrete state after the switching instants, as compared to their “unprojected” counterparts. The approach is constructively developed and theoretically substantiated along the paper, and simulation results confirm its effectiveness.
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Conference papers
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https://hal.inria.fr/hal-00731063
Contributor : Thierry Floquet <>
Submitted on : Tuesday, September 11, 2012 - 6:23:56 PM
Last modification on : Tuesday, July 9, 2019 - 4:48:39 PM

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Thierry Floquet, Diego Mincarelli, Alessandro Pisano. Continuous and Discrete State Estimation in Linear Switched Systems by Sliding Mode Observers with Residuals' Projection. ADHS 2012 - 4th IFAC Conference on Analysis and Design of Hybrid Systems, Jun 2012, Eindhoven, Netherlands. pp.265-270, ⟨10.3182/20120606-3-NL-3011.00092⟩. ⟨hal-00731063⟩

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