Fuzzy robust H_∞ filter design for nonlinear discrete-time systems with interval time delays

Abstract

This article deals with the problem of H _∞ filter design for nonlinear discrete-time systems with norm-bounded parameter uncertainties and time-varying delays. A new Lyapunov function and free-weighting matrix method are used for filtering design, consequently, a delay-dependent design method is first proposed in terms of linear matrix inequalities, which produces a less conservative result. Finally, numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.

Keywords:

• discrete-time
• H _∞ filtering
• fuzzy systems
• linear matrix inequality

Acknowledgements

This work is partially supported by the Natural Sciences and Engineering Research Council of Canada, the National Natural Science Foundation of China (Nos. 61074088, 60774047), the Taishan Scholar programme and the Natural Science Foundation of Shandong Province (No. Y2006G04).