Event-Triggered Finite-Time Robust Filtering for a Class of State-Dependent Uncertain Systems With Network Transmission Delay

Abstract

In this paper, the event-triggered robust filtering problem is investigated for a class of network-based state-dependent uncertain systems in the sense of finite-time boundedness, considering network transmission delay. By resorting to a generalized performance index, the $H_\infty $ and $L_{2}-L_\infty $ filtering problems can be solved in a unified framework. An event-triggered scheme is also utilized to sift out the sampled signals so that both the communication resources and the network bandwidth can be saved as much as possible. By means of an appropriate Lyapunov–Krasovskii functional and the delay system approach, sufficient conditions guaranteeing the filtering error system being finite-time bounded with extended dissipativity are deduced. Based on the convex optimization, an explicit expression of the desired finite-time robust filter is derived. Finally, two numerical examples are provided to illustrate the effectiveness of the developed methods.