Stabilization of discrete-time fuzzy systems via composite state and output feedback control design

In this paper, we propose the stabilization of discrete-time fuzzy systems. Firstly, the discrete-time fuzzy systems will be represented as a discrete-time descriptor fuzzy systems. Then, we propose using composite state and output feedback controller to stabilize the discrete-time descriptor fuzzy systems. Based on the Lyapunov stability theorem, we derive the linear matrix inequality (LMI) stability condition. The state and output feedback controller can easily be solved by using LMI control toolbox. A nonlinear circuit system is given to illustrate the validity of the proposed scheme.