H∞ filtering for nonlinear parameter-varying systems via homogeneous polynomial Lyapunov functions

This paper investigates the H_∞ filter design problem for a class of nonlinear parameter-varying systems. Based on a homogeneous polynomial parameter-dependent matrix (HPPDM) approach, a less conservative condition for the solvability of this problem is given in terms of linear matrix inequalities (LMIs). With the degree of HPPDM increasing, the less conservative condition can be obtained. In addition, the result in this paper is more general than the earlier results for this class of systems. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.