Abstract
This paper considers the problem of robust guaranteed cost controller design for a class of nonlinear systems subject to time-varying and norm-bounded uncertainties in both state and input matrices. The Takagi-Sugeno (T-S) fuzzy model is employed to approximate the uncertain nonlinear system. Then, two different design procedures of optimal robust guaranteed cost controller are developed by using parallel distributed compensation (PDC) scheme and piecewise Lyapunov function (PLF) approach, respectively. And it is shown that all solvability conditions for the above problem can be converted into a standard linear matrix inequality (LMI) problem. The final numerical example is given to illustrate the effectiveness of the design procedures. In addition, the results obtained by PLF method are relatively less conservative.
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