On Interval Observer Design for a Class of Continuous-Time LPV Systems

Stanislav Chebotarev 1 Denis Efimov 2, 3 Tarek Raissi 4 Ali Zolghadri 5
1 Department of Control Systems and Informatics,
Saint Petersburg State University of Information Technologies Mechanics and Optics,
2 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
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This work is devoted to interval observer design for Linear Parameter-Varying (LPV) systems under assumption that the vector of scheduling parameters is not available for measurements. Stability conditions are expressed in terms of matrix inequalities, which can be solved using standard numerical solvers. Robustness and estimation accuracy with respect to model uncertainty is analyzed using L_inf/L_1 framework. Two solutions are proposed for nonnegative systems and for a generic case. The efficiency of the proposed approach is demonstrated through computer simulations.
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Stanislav Chebotarev, Denis Efimov, Tarek Raissi, Ali Zolghadri. On Interval Observer Design for a Class of Continuous-Time LPV Systems. IFAC Nolcos 2013, Sep 2013, Toulouse, France. ⟨hal-00844390⟩

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