Robust H∞ control for uncertain T-S fuzzy systems via delay partitioning approach
Said Idrissi, El Houssaine Tissir, Ismail Boumhidi, N. Chaibi · International Journal of Ecology & Development · 2014
This paper discusses the problem of robust H∞ control for uncertain T–S fuzzy systems with interval time-varying delay. The approach is based on constructing a new Lyapunov-Krasovskii functional by dividing uniformly the delay interval into N segment with N is a positive integer and some free weighting matrices. This new Lyapunov-Krasovskii functional is chosen with different weighted matrices corresponding to different segments. Based on this approach and the parallel distribution compensation (PDC) method, new conditions of robust H∞ control are presented. The perturbations considered are norm bounded, and the results are expressed in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, an H∞ controller is obtained. Finally, numerical examples show that the proposed method is less conservative than existing ones.