Generalized H/sub 2/ controller synthesis of fuzzy dynamic systems based on piecewise lyapunov functions
Gang Feng, Dong Bai Sun · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2002
This paper presents a generalized H/sub 2/ controller synthesis method for the Takagi-Sugeno fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to construct a controller for the fuzzy dynamic systems in such a way that a piecewise continuous Lyapunov function can be used to establish the global stability with generalized H/sub 2/ 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. An example is given to illustrate the application of the proposed method.