## Abstract and Applied Analysis

### Improved Robust ${H}_{\infty }$ Filtering Approach for Nonlinear Systems

#### Abstract

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 613026, 9 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412605749

Digital Object Identifier
doi:10.1155/2014/613026

Mathematical Reviews number (MathSciNet)
MR3206804

#### Citation

Chen, Jun; Sun, Haiqiao. Improved Robust ${H}_{\infty }$ Filtering Approach for Nonlinear Systems. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 613026, 9 pages. doi:10.1155/2014/613026. https://projecteuclid.org/euclid.aaa/1412605749

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