H_2 Control design for fuzzy dynamic systems via LMI

Article type: Research Article

Authors: Zhang, Ning | Feng, Gang

Affiliations: Department of Systems and Control, School of Electrical Engineering, University of New South Wales, Sydney, NSW 2052, Australia. Tel.: +61 2 93855701; Fax: +61 2 93855993; E-mail: ningz@alpha2.ee.unsw.edu.au

Abstract: This paper addresses the robust H_2 control design of complex nonlinear systems which can be represented by a fuzzy dynamic model. Based on a continuous Lyapunov function and a piecewise continuous Lyapunov function respectively, two kinds of new control design methods are proposed using Lyapunov stability theory, robust H_2 control theory and Linear Matrix Inequalities (LMI) techniques. It is shown that the closed loop fuzzy control system is asymptotically stable with a white noise attenuation. The robust H_2 fuzzy controller can be obtained by using the LMI techniques. An example is given to demonstrate the application of the proposed design methods.

Journal: Journal of Intelligent and Fuzzy Systems, vol. 8, no. 4, pp. 275-287, 2000