* Join the Member of ICROS 
* Need your ID or Password?
Subject Keyword Abstract Author
Robust H∞ Observer-based Stabilization of Linear Discrete-time Systems with Parameter Uncertainties

Cherifa Bennani, Fazia Bedouhene*, Hamza Bibi, Ali Zemouche, Rajesh Rajamani, Khadidja Chaib-Draa, and Abdel Aitouche
International Journal of Control, Automation, and Systems, vol. 17, no. 9, pp.2261-2273, 2019

Abstract : "This paper addresses the problem of observer-based stabilization of discrete-time linear systems in presence of parameter uncertainties and ℓ2-bounded disturbances. We propose a new variant of the classical two-step LMI approach. In the first step, we use a slack variable technique to solve the optimization problem resulting from stabilization by a static state feedback. In the second step, a part of the slack variable obtained is incorporated in the H∞ observer-based stabilization problem, to calculate simultaneously the Lyapunov matrix and the observer-based controller gains. The effectiveness of the proposed design methodology is demonstrated using the dynamic model of a quadruple-tank flow process system. Additional numerical illustrations are presented to show the superiority of the proposed Modified Two-Step Method (MTSM) from a LMI feasibility point of view."

Keyword : Bilinear matrix inequality (BMI), H∞ criterion, linear matrix inequalities (LMIs), observer-based control, uncertain systems.

Copyright ⓒ ICROS. All rights reserved.
Institute of Control, Robotics and Systems, Suseo Hyundai-Ventureville 723, Bamgogae-ro 1-gil 10, Gangnam-gu, Seoul 06349, Korea
Homepage | Tel. +82-2-6949-5801 (ext. 3) | Fax. +82-2-6949-5807 | E-mail