Stabilization and Model Reference Tracking Control of Discrete-time Nonlinear Systems via Modified Fuzzy Static Output Feedback Design

Some new results for stabilization design of discrete-time (DT) nonlinear systems with H-infinity performance are proposed in this paper. DT nonlinear systems can be constructed by using the Takagi-Sugeno (T-S) fuzzy model. First, we propose the modified fuzzy static output feedback (MFSOF) controller. The stabilization problem becomes to stabilize a new discrete-time fuzzy descriptor (DTFD) system. Such that, the proposed MFSOF control will stabilize the DT nonlinear systems. Furthermore, model reference fuzzy tracking control (MRFTC) design for the DTFD systems is investigated. The stability conditions can be certificate by using Lyapunov theorem. A practical system is given to verification the proposed formula.