Non-fragile strictly dissipative filter for discrete-time nonlinear systems with sector-bounded nonlinearities

The problem of non-fragile dissipative filtering for a class of nonlinear discrete-time systems with sector-bounded nonlinearities is investigated. The filter under study is subject to multiplicative gain variations, which are often encountered in practice and the sources of instability. It is worth pointing out that a more general type of filter gain variation is introduced. The purpose of the paper is to design a filter such that, for all admissible filter gain variations, the error filtering system is asymptotically stable and strictly (Q, S, R)-dissipative. A sufficient condition for the existence of such a filter is obtained by using appropriate Lyapunov function and linear matrix inequality (LMI) techniques. A numerical example is provided to demonstrate the effectiveness of the proposed designs.