State feedback H^\infty controller design for fuzzy dynamic systems

Article type: Research Article

Authors: Han, Z.X. | Walcott, B.L. | Zhang, Y.M. | Feng, G.

Affiliations: Department of Electrical Engineering, University of Kentucky, Lexington, KY 40506, USA | School of Electrical Engineering, University of New South Wales, Sydney, NSW 2052, Australia

Abstract: This paper presents robust H^\infty controller design for fuzzy dynamic systems with state feedback. Three kinds of controller design methods are proposed based on a quadratic Lyapunov function or a piecewise smooth quadratic Lyapunov function. The control laws are numerically tractable by using LMI techniques and the global stability with disturbance attenuation of the closed-loop fuzzy control system is established. An example is given to illustrate the application of the proposed method.

Journal: Journal of Intelligent and Fuzzy Systems, vol. 8, no. 4, pp. 261-273, 2000