Sampled‐data reliable stabilization of T‐S fuzzy systems and its application

• Published in: Complexity (New York, N.Y.) Vol. 21; no. S2; pp. 518 - 529
• Main Authors: Sakthivel, Rathinasamy, Boomipalagan, Kaviarasan, Yong‐Ki, MA, Muslim, Malik
• Format: Journal Article
• Language: English
• Published: Hoboken Hindawi Limited 01.11.2016
• Subjects: Controllers; Feedback control systems; Fuzzy sets; reliable control; Robust control; Takagi–Sugeno fuzzy system; Wirtinger‐based double integral inequality
• ISSN: 1076-2787; 1099-0526
• DOI: 10.1002/cplx.21833

In this article, based on sampled‐data approach, a new robust state feedback reliable controller design for a class of Takagi–Sugeno fuzzy systems is presented. Different from the existing fault models for reliable controller, a novel generalized actuator fault model is proposed. In particular, the implemented fault model consists of both linear and nonlinear components. Consequently, by employing input‐delay approach, the sampled‐data system is equivalently transformed into a continuous‐time system with a variable time delay. The main objective is to design a suitable reliable sampled‐data state feedback controller guaranteeing the asymptotic stability of the resulting closed‐loop fuzzy system. For this purpose, using Lyapunov stability theory together with Wirtinger‐based double integral inequality, some new delay‐dependent stabilization conditions in terms of linear matrix inequalities are established to determine the underlying system's stability and to achieve the desired control performance. Finally, to show the advantages and effectiveness of the developed control method, numerical simulations are carried out on two practical models. © 2016 Wiley Periodicals, Inc. Complexity 21: 518–529, 2016