摘要：In this paper, the problem of delay-dependent exponential H ∞ ${H_{\infty}}$ filter is investigated for uncertain nonlinear singular systems with interval time-varying delay through T-S fuzzy model. A new Lyapunov-Krasovskii functional (LKF) is constructed by considering triple integral and the left and right endpoints of the time-delay to obtain a less conservative condition, which can guarantee that the error system is not only exponentially admissible but also satisfying a prescribed H ∞ ${H_{\infty}}$ performance. Then, by solving the linear matrix inequalities (LMIs), the filter parameter matrices can be obtained. In the end, some numerical simulations are given to illustrate the effectiveness and the benefits of the methods.
关键词：nonlinear singular systems ; interval time-varying delay ; exponentially stable ; T-S fuzzy model ; \({H_{\infty}}\) filter
