Non-fragile Passive Filtering for Sampled-data System with Long Timedelay Subject to Nonlinearity
Shigang Wang, Yingsong Li, Yi Wu, Zhiqiang Hu, Guanda Yu, Jianxun Li and Lei Gao
Affiliation: School of Mechanical and Electronic Engineering, Heilongjiang University, XueFu Road No.74, Harbin, P. R. China, 150080, China.
Keywords: Long time-delay, nonlinear sampled-data system, non-fragile passive filtering, uncertainties.
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.
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