title: Non-fragile H∞ output feedback control design for continuous-time fuzzy systems.
abstract: In this paper, we investigate the problem of non-fragile H∞ fuzzy control design for continuous Takagi Sugeno (T-S) fuzzy systems with uncertainties, external disturbance and unmeasurable state variables. For the case of controller and observer gain additive variations, we propose a new solution of the fragility problem by developing the non-fragile design schemes ensuring the asymptotic stability and H∞ performance for the resulting closed loop systems. By considering a fuzzy Lyapunov function and by introducing slack variables, we propose the new sufficient stabilization conditions formulated in LMI constraints which can be easily solved using the convex optimization tools. The effectiveness the proposed results are illustrated through three numerical examples.
authors: Laboratory of Sciences and Techniques of Automatic Control & Computer Engineering (Lab-STA), National School of Engineering of Sfax, University of Sfax, Postal Box 1173, 3038 Sfax, Tunisia. Electronic address: mouradkchaou@gmail.com.
authors: Mourad
authors: M
authors: Kchaou
authors: Modeling, Information, and Systems Laboratory, University of Picardie Jules Verne, Amiens 80000, France. Electronic address: ahmed.hajjaji@u-picardie.fr.
authors: Ahmed El
authors: AE
authors: Hajjaji
authors: Laboratory of Sciences and Techniques of Automatic Control & Computer Engineering (Lab-STA), National School of Engineering of Sfax, University of Sfax, Postal Box 1173, 3038 Sfax, Tunisia.
authors: Ahmed
authors: A
authors: Toumi
keywords: (T–S) fuzzy systems; LMI; Non-fragile  control; Observer-based control