H∞ controller design of fuzzy dynamic systems based on piecewise Lyapunov functions

Authors:
Gang Feng
Affiliations:
Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong, Kowloon, China
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Year:
2004

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Abstract

This paper presents a controller design method for fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to construct controllers for the fuzzy dynamic systems in such a way that a piecewise continuous Lyapunov function can be used to establish the global stability with H∞ performance of the resulting closed loop fuzzy control systems. It is shown that the control law can be obtained by solving a set of linear matrix inequalities (LMI) that is numerically feasible with commercially available software. An example is given to illustrate the application of the proposed method.