Non-fragile dissipative fuzzy control for nonlinear discrete-time systems via T-S model

The problem of the non-fragile dissipative control for the nonlinear discrete systems is dealt with. The T-S models is constructed for nonlinear systems, which makes the model approach to the original system more exact. The sufficient conditions for the existence of a dynamic output feedback fuzzy controller such that, for all admissible multiplicative controller gain variations, the closed-loop system is asymptotically stable and the dissipative performance is guaranteed, are derived in the sense of Lyapunov asymptotic stability and are formulated in the format of matrix inequalities. The sequentially linear programming matrix method (SLPMM) is applied to solve the matrix inequalities. Numerical example is provided to demonstrate the feasibility of the proposed conditions and the procedure of the controllers design.