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Conference Papers Year : 2018

Robust $H_\infty$ observer-based stabilization of linear discrete-time systems with parameter uncertainties

Abstract

This paper addresses the problem of observer-based stabilization of discrete-time linear systems in presence of parameter uncertainties and $ell_2$-bounded disturbances. We propose a new variant of the classical two-steps LMI approach. In the first step, we use a slack variable technique to solve the optimization problem resulting from the stabilization problem by a static state feedback. In the second step, a part of the slack variable obtained is incorporated in the $H_\infty$ observer-based stabilization problem, to calculate simultaneously the Lyapunov matrix and the observer-based controller gains. A numerical evaluation is presented to show the superiority of the proposed Modified Two-Steps Method (MTSM) from LMI feasibility point of view.

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Dates and versions

hal-01736812 , version 1 (18-03-2018)

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Cherifa Bennani, Fazia Bedouhene, Ali Zemouche, Hamza Bibi, Khadidja Chaib Draa, et al.. Robust $H_\infty$ observer-based stabilization of linear discrete-time systems with parameter uncertainties. American Control Conference, ACC 2018, Jun 2018, Milwaukee, WI, United States. ⟨10.23919/ACC.2018.8431745⟩. ⟨hal-01736812⟩
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