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Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions

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1 Author(s)
Gang Feng ; Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong, Kowloon, China

This paper presents a kind of controller synthesis 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 laws can be obtained by solving a set of linear matrix inequalities that is numerically feasible with commercially available software. An example is given to illustrate the application of the proposed methods.

Published in:

Fuzzy Systems, IEEE Transactions on  (Volume:11 ,  Issue: 5 )