Distributed <tex>$H_{\infty}$</tex> Filter Design Over Sensor Network with Output Saturations: a Hybrid-Triggered Method

Abstract

By using hybrid-triggered method, this paper investigates the distributed $H_{\infty}$ filter design problem for networked control systems (NCSs) over sensor network with output saturations. The distributed hybrid-triggered transmission scheme (DHTTS) under the sensor output saturations is first proposed to solve the filter design, which can get a balance of saving network resources and improving systems performance. Firstly, the distributed $H_{\infty}$ filtering error systems with communication delays is modeled under DHTTS. Then, by using Lyapunov-Krasovskii functional methods and linear matrix inequality (LMI) techniques, sufficient conditions for guaranteeing the asymptotic stability of the distributed $H_{\infty}$ filtering error systems are established, and the distributed filters parameters and hybrid-trigger matrix parameters can be obtained simultaneously. Finally, a simulation example is provided to illustrate the effectiveness of the developed method.