Guaranteed Cost Control for Polynomial Discrete Fuzzy Time Delay Systems by Sum-of-Squares Approach

This paper presents a sum of squares (SOS) approach to guaranteed cost control of polynomial discrete fuzzy time delay systems. Based on polynomial Lyapunov-Kraovskii functional, guaranteed cost controller and robust guaranteed cost controller, which minimize the upper bound of the given performance function, are designed. The uncertainty considered is norm-bounded type. Both of the design conditions can be represented in terms of SOS. Numerical example is provided to show the utility of the main results obtained.