Abstract

In this paper, the problem of passive filtering for sampled-data system has been studied which contains nonlinear perturbation and long time delay. The nonlinear perturbation is the relationship term of state and time, and it satisfies the Lipschitz constraints. Furthermore, the direct distribution method is applied to deal with long time-delay and to relax the dimension of decision variables. The proposed passive condition assures asymptotic stability for the filtering error, which is discussed using linear matrix inequalities (LMIs). Additionally, the non-fragile filter based on passivity is proposed and a numerical example is presented to verify the feasibility and effectiveness. The article also refers some recent patents on sampled-data system design.

Keywords: Long time-delay, nonlinear sampled-data system, non-fragile passive filtering, uncertainties.