Robust H∞ Filtering for Nonlinear Systems With Sensor Saturation, Multiple Communication Delays and Packet Losses

In this paper, the robust H-infinity filtering problem is concerned for nonlinear systems with sensor saturation, multiple communication delays and packet losses. The phenomenon of communication delays satisfies the Bernoulli distributions and the packet losses occur in a random way. The sensor saturation in the system is handled by a decomposition approach. The purpose of this work is to design a full-order filter such that in the presence of above conditions, the filtering error system is exponentially mean-square stable, and the H-infinity performance index is achieved. By means of linear matrix inequalities, the explicit expression of the desired filters is also derived. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.