Set-membership filtering for a class of nonlinear complex networks with mixed time-delays and incomplete measurements

Abstract

In this paper, the set-membership filtering problem is discussed for a class of discrete time-varying nonlinear complex networks with mixed time-delays and incomplete measurements. Both the process noise and the measurement noise are unknown but bounded. The nonlinear function is assumed to satisfy the sector bounded condition and the incomplete measurement is model by a diagonal matrix. The main purpose of this paper is to design a set-membership filtering method in order to provide the certain regions, which include the real states. Accordingly, the filtering errors at each time can be limited to the ellipsoid sets for the considered nonlinear delayed complex networks in the simultaneous presence of unknown but bounded noise, mixed time-delays and incomplete measurements. Moreover, a convex optimization method is presented to obtain the minimum ellipsoid domain. In addition, the filter gain matrix can be obtained by solving a series of linear matrix inequalities. Finally, a simulation example is used to illustrate the effectiveness of the proposed set-membership filtering method.

Keywords

• complex networks
• set-membership filtering
• mixed time-delays
• incomplete measurements