H∞ controller design for discrete fuzzy system using nonquadratic Lyapunov functions

This paper proposed a new approach to the stabilization analysis and H_∞ performance for a class of discrete nonlinear systems that are represented by a Takagi-Sugeno (T-S) fuzzy model. The main result given here concerns their H_∞ controller design based on a relaxed approach in which both PDC-like control laws and nonquadratic Lyapunov functions are used. New relaxed conditions and linear matrix inequality-based design methods are proposed that allow outperforming previous results found in the literature. Finally, an example is given to demonstrate the efficiency of the proposed approaches.