H∞ Control of nonlinear discrete-time systems based on dynamical fuzzy models

This paper presents a solution to H-infinity control problem for a class of discrete-time nonlinear systems. This class of nonlinear systems can be represented by a discrete-time dynamical fuzzy model. A suitable quadratic Lyapunov function is used to establish asymptotic stability with an l(2)-norm bound gamma of the closed-loop system. Furthermore, a constrictive algorithm is developed to obtain the stabilizing feedback control law. The controller design algorithm involves solving a set of suitable algebraic Riccati equations. An example is given to illustrate the application of the method.