Delay-dependent robust H∞ control for uncertain T-S fuzzy systems with time-varying delay

The delay-dependent robust H _infin control problem for a class of nonlinear time-delay system is investigated in this paper. An uncertain Takagi-Sugeno (T-S) fuzzy model is adopted for representing a nonlinear system with time-varying delay, in which the modeling errors are absorbed in the uncertain part. The design method of delay-dependent robust H _infin controller is firstly established via the parallel distributed compensation (PDC) technique. Meanwhile, a stabilization method is developed in terms of linear matrix inequalities (LMIs). Two examples are provided to prove the effectiveness of the present results.