Open Access Open Access  Restricted Access Subscription or Fee Access

Robust H∞ control for uncertain T-S fuzzy systems via delay partitioning approach

S. Idrissi, E.H. Tissir, I. Boumhidi, Nourddine Chaibi

Abstract


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.

Keywords


Delay dependent stability, H∞ control, T-S fuzzy systems, Robust control, Uncertainty, Liner matrix inequalities (LMIs).

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.