Improved Robust H∞ Filtering Approach for Nonlinear Systems

Abstract EN

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.