Robust guaranteed cost control for 2-D nonlinear systems based on general-type T-S fuzzy model

In this paper, we consider the guaranteed cost control problem of 2-D T-S fuzzy system with norm-bounded parameter uncertainties. A 2-D fuzzy state feedback controller is designed such that the closed-loop system is asymptotically stable and a specified quadratic cost function has an upper bound for all admissible uncertainties. By using the established theorem, only r stabilization conditions are needed for this problem. Simulation example is given to illustrate the effectiveness of the proposed approach.