Robust controller with definite attenuation for a class of fuzzy time-delay systems
一类模糊时滞系统指定衰减度的鲁棒控制

The problem of robust stabilization for nonlinear time-delay system based on fuzzy T-S model is developed in this paper.The systems under consideration include time-varying unknown but bounded time-delay in state.Firstly,by applying the Razumikhin theory and Lyapunov theory,a criterion of robust stability with definite attenuation for nonlinear time-delay system is derived.Secondly,the sufficient condition for the existence of memoryless state feedback controller with definite attenuation and the method of designing controller are derived.The condition is also further equivalent to the solvability of certain linear matrix inequality (LMI).The designed controller guarantees the closed-loop system to possess robust stability with definite attenuation.