Analysis and design for unified exponential stability of three different impulsive T–S fuzzy systems

Article history: Accepted 11 March 2009 Available online xxxx 0960-0779/$ see front matter 2009 Elsevier Ltd doi:10.1016/j.chaos.2009.03.036 * Corresponding author. E-mail address: [email protected] (X. Zhang Please cite this article in press as: Zhang X et a systems. Chaos, Solitons & Fractals (2009), do Three different forms of impulsive T–S models are discussed in this paper; the first one is described by a nonlinear impulsive control system represented by T–S model, while the second one is expressed as a state feedback impulsive control plant and the third one is depicted by a hybrid system. A simple and unified Lyapunov-based stability criterion is proposed to guarantee the exponential stability of closed-loop impulsive fuzzy systems. Such criterion is expressed in the form of linear matrix inequalities and the corresponding design algorithms are presented. Several numerical simulations are shown to demonstrate how the proposed controllers can stabilize these impulsive fuzzy systems. 2009 Elsevier Ltd. All rights reserved.