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.
"Improved Robust Filtering Approach for Nonlinear Systems." Abstr. Appl. Anal. 2014 (SI63) 1 - 9, 2014. https://doi.org/10.1155/2014/613026