Robust H_∞ filter design of uncertain T-S fuzzy neutral systems with time-varying delays

Abstract

This article addresses the problem of robust H _∞ filter design of a class of Takagi–Sugeno fuzzy neutral systems with time-varying delays and norm-bounded parameter uncertainties. A fuzzy filter is constructed, which ensures both the robust stability and a prescribed H _∞ performance of the filtering error system. A linear matrix inequality approach is developed, and a delay-dependent sufficient condition is obtained. A simulation example is provided to demonstrate the effectiveness of the proposed approach.

Keywords:

• fuzzy systems
• H _∞ filtering
• neutral delay systems
• robust filtering
• Takagi–Sugeno fuzzy models
• time-varying delays

Acknowledgements

This work was partially supported by the National Science Foundation for Distinguished Young Scholars of P.R. China under Grant No. 60625303, the Specialised Research Fund for the Doctoral Programme of Higher Education under Grant No. 20060288021, the Jiangsu Province Natural Science Foundation under Grant No. BK2008047 and the National Natural Science Foundation of P.R. China under Grant No. 60850005.