Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systems

摘要

Stability analysis and a systematic robust fuzzy control design for uncertain nonlinear systems with polytopic uncertainties are presented. The approach given uses the T-S fuzzy systems which are represented by a family of local uncertain linear systems with aggregation. The resulting fuzzy controller is a blending of state feedback gains obtained from a guaranteed cost control (GCC) problem. A sufficient condition for the robust stability of the feedback T-S fuzzy system with uncertainties using a quadratic Lyapunov function is given. A feature of the proposed approach is that an upper bound on the guaranteed cost is minimized by solving an optimization problem with linear matrix inequalities (LMIs).