Relaxed nonquadratic stabilization and H∞ performance conditions for discrete fuzzy system

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