On H_∞ Filtering for a Class of Uncertain Nonlinear Neutral Systems

Abstract

This paper investigates the problem of robust H_∞ filtering for a class of nonlinear neutral systems with norm-bounded parameter uncertainties appearing in all the matrices of the linear part of the system model. The nonlinearities are assumed to satisfy the global Lipschitz conditions and appear in both the state and measured output equations. The problem we address is the design of a nonlinear filter that guarantees both the robust stability and a prescribed H_∞ performance of the filtering error dynamics irrespective of the parameter uncertainties. A sufficient condition for the solvability of this problem is given in terms of a linear matrix inequality (LMI). When this LMI is feasible, the expression of a desired H_∞ filter is also presented. A numerical example is provided to demonstrate the effectiveness of the proposed approach.