A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters

Abstract : This paper deals with observer-based controller design problem for discrete-time Linear Parameter Varying~(LPV) systems with uncertain parameters. The proposed technique consists in designing an observer-based controller which stabilizes the LPV system, provided that the norm of the difference between the measured parameter and the real one does not exceed a tolerated maximum value. The particularity of the proposed design method, compared to some existing methods in the literature, is that it works on one systematic step, without any a priori choice of some observer-based controller parameters. The solution is formulated in terms of a single set of Linear Matrix Inequalities~(LMIs). Besides, a relaxation of the proposed design with respect to the uncertainty is provided. The proposed approach is compared with other similar stabilization approaches, through two numerical examples.
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Conference papers
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https://hal.archives-ouvertes.fr/hal-01294001
Contributor : Didier Maquin <>
Submitted on : Friday, March 25, 2016 - 10:20:29 PM
Last modification on : Wednesday, August 7, 2019 - 3:34:13 PM

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  • HAL Id : hal-01294001, version 1

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Ali Zemouche, Mohamed Zerrougui, Boulaid Boulkroune, Rajesh Rajamani, Michel Zasadzinski. A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters. American Control Conference, ACC'2016, Jul 2016, Boston, United States. ⟨hal-01294001⟩

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