Networked H∞ filtering for discrete-time nonlinear singular system with mixed random delays and packet dropouts

The H-infinity filtering design problem is studied for a class of networked discrete-time nonlinear singular system. Both mixed random delays and packet dropouts in the communication channels are considered. The mixed time-delays consists of the discrete and distributed delays. And the packet dropout phenomenon occurs in a random way. Three mutually independent Bernoulli distributed random variables are utilized to model the stochastic phenomena. By using the Lyapunov-Kravoskii stability approach, sufficient conditions are presented to guarantee the closed-loop filter error system is regular, causal and stable with a certain H-infinity performance index. And the H-infinity filtering design method is provided. An illustrative example is provided to illustrate the effectiveness of the proposed filter design method.