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Abstract and Applied Analysis
Volume 2014, Article ID 613026, 9 pages
Research Article

Improved Robust Filtering Approach for Nonlinear Systems

Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education, Institute of Automation, Jiangnan University, Wuxi 214122, China

Received 24 January 2014; Accepted 20 March 2014; Published 27 April 2014

Academic Editor: Shuping He

Copyright © 2014 Jun Chen and Haiqiao Sun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An improved design approach of robust H filter for a class of nonlinear systems described by the Takagi-Sugeno (T-S) fuzzy model is considered. By introducing a free matrix variable, a new sufficient condition for the existence of robust H filter is derived. This condition guarantees that the filtering error system is robustly asymptotically stable and a prescribed H performance is satisfied for all admissible uncertainties. Particularly, the solution of filter parameters which are independent of the Lyapunov matrix can be transformed into a feasibility problem in terms of linear matrix inequalities (LMIs). Finally, a numerical example illustrates that the proposed filter design procedure is effective.