Title :
Robust non-fragile control of a class of nonlinear uncertain systems
Author :
Ayadi, H. Belkhiria ; Rezgui, M. ; Belhaouane, M.M. ; Braiek, Naceur Benhadj
Author_Institution :
Adv. Syst. Lab., Univ. of Carthage, La Marsa, Tunisia
Abstract :
This paper proposes a method to design a stabilizing Robust non-fragile control of uncertain polynomial systems. Based on a quadratic Lyapunov Function, a sufficient stabilization conditions are proposed. An LMI-based optimization problem is then derived for computing the state feedback gains of the closed-loop system with maximization of the stability robustness bound. The effectiveness of the proposed robust control scheme is illustrated through numerical simulations on a numerical example.
Keywords :
Lyapunov methods; closed loop systems; control system synthesis; linear matrix inequalities; nonlinear control systems; optimisation; robust control; state feedback; uncertain systems; LMI-based optimization problem; closed-loop system; linear matrix inequalities; nonlinear uncertain system; numerical simulation; quadratic Lyapunov function; robust control scheme; stability robustness bound; stabilizing robust nonfragile control design; state feedback gain; sufficient stabilization condition; uncertain polynomial system; Polynomials; Robustness; State feedback; Symmetric matrices; Uncertain systems; Uncertainty; LMI Approach; Nonlinear Polynomial Systems; Robust Non-Fragile Control; State feedback Control;
Conference_Titel :
Electrical Engineering and Software Applications (ICEESA), 2013 International Conference on
Conference_Location :
Hammamet
Print_ISBN :
978-1-4673-6302-0
DOI :
10.1109/ICEESA.2013.6578372
