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Interval Observers for Continuous-Time LPV Systems with $L_1$/$L_2$ Performance

Stanislav Chebotarev 1 Denis Efimov 2 Tarek Raïssi 3 Ali Zolghadri 4
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
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189, Inria Lille - Nord Europe
Abstract : An approach to interval observer design for Linear Parameter-Varying (LPV) systems is proposed. It is assumed that the vector of scheduling parameters in LPV models is not available for measurement. Two different interval observers are constructed for nonnegative systems and for a generic case. Stability conditions are expressed in terms of matrix inequalities, which can be solved with respect to the observer gains using standard numerical solvers. Applying $L_1$/$L_2$ framework the robustness and estimation accuracy with respect to model uncertainty are analyzed. The efficiency of interval estimation for LPV models is demonstrated through numerical experiments for a microfluidic system and an academic example.
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Submitted on : Thursday, May 7, 2015 - 11:45:39 PM
Last modification on : Thursday, January 20, 2022 - 4:16:44 PM
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Stanislav Chebotarev, Denis Efimov, Tarek Raïssi, Ali Zolghadri. Interval Observers for Continuous-Time LPV Systems with $L_1$/$L_2$ Performance. Automatica, Elsevier, 2015, 58, pp.82-89. ⟨10.1016/j.automatica.2015.05.009⟩. ⟨hal-01149982⟩

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