Abstract
This paper deals with the fuzzy based H8 control problem for time‐delay affine Takagi‐Sugeno (T‐S) fuzzy models. A class of nonlinear time‐delay systems is approximated by a time‐delay affine T‐S fuzzy model in this paper. Based on Lyapunov‐Razumikhin theorem and S‐procedure, the stability and stabilization problems are solved by employing a Parallel Distributed Compensation (PDC) type H8 fuzzy controller. The synthesis for the time‐delay affine T‐S fuzzy models is a Bilinear Matrix Inequality (BMI) problem and it can not be solved via a convex optimization algorithm. Hence, an Iterative Linear Matrix Inequality (ILMI) algorithm is used to solve the BMI problems in this paper. Finally, a numerical simulation for a delayed pendulum system is given to show the applications of the present approach.
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