Robust Stabilization And H_∞ Control For Uncertain Fuzzy Neutral Systems With Mixed Time Delays

摘要

This paper investigates the problems of robust stabilization and robust H_∞ control for uncertain Takagi-Sugeno (T-S) fuzzy neutral systems with both discrete and distributed time delays. The uncertainties are time-varying but norm-bounded. The purpose is to design state feedback fuzzy controllers such that the resulting closed-loop system is robustly stable (for the stabilization problem) and robustly stable with an H_∞ performance level (for the H_∞ control problem), respectively. Sufficient conditions for the solvability of the two problems are obtained by utilizing a Lyapunov functional together with the linear matrix inequality (LMI) approach. When the LMIs are feasible, an explicit expression of a desired state feedback fuzzy controller is given. A numerical example is provided to demonstrate the applicability of the proposed design method.