Hybrid Event-Triggered Filtering for Nonlinear Markov Jump Systems With Stochastic Cyber-Attacks

Wenqian Xie,Kaibo Shi,Xin Wang,Qianhua Fu,Yong Zeng

doi:10.1109/access.2020.3046522

Abstract

This paper studies the problem of H filtering for nonlinear Markov jump systems based on Takagi-Sugeno model. Firstly, we propose a hybrid event-triggered mechanism with an adjustable threshold, which not only helps to save more limited communication resources, but also excludes Zeno behavior while preserving the merits of continuous triggering. Secondly, given the threat of cyber-attacks to network security, a stochastic variable is introduced to describe the considered deception attacks in filter design. Thirdly, a less restrictive Lyapunov-Krasovskii functional (LKF), which is not required to be continuous and positive definite in a triggering interval, is constructed to establish sufficient condition on the exponential mean-square stability for the filtering error system with a weighted H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance. Meanwhile, co-design of the desired filter and event-triggered mechanism is achieved. Finally, a tunnel diode circuit system is provided to illustrate the effectiveness and advantage of the obtained results.

Highlights

With the rapid development of technologies on computer networks and communication, networked control systems (NCSs) have attracted much attention in recent decades [1]–[4]
When an Event-triggered communication mechanism (ETCM) is applied in NCSs, it plays an important role in determining the update of target signal
Inspired by the above discussion, this paper focuses on addressing the H∞ filtering problem for nonlinear Markov jump systems based on T-S fuzzy model

Summary

INTRODUCTION

With the rapid development of technologies on computer networks and communication, networked control systems (NCSs) have attracted much attention in recent decades [1]–[4]. W. Xie et al.: Hybrid Event-Triggered Filtering for Nonlinear Markov Jump Systems studying the H∞ filtering problem of nonlinear NCSs. Noted that the ETCM based on sampling avoids Zeno behavior but does not use all the available information. To take advantage of the continuous-time measurements and guarantee a positive lower bound on the inter-event intervals, hybrid ETCMs were put forward in [20]–[22] by introducing a constant waiting time and combining it with continuous event-triggering condition Under this mechanism, each time the target signal is updated, a new round of continuous evaluation of the event-triggering condition is carried out after predetermine time. There are three main contributions: 1) To save more limited communication resources, a hybrid ETCM with an adjustable threshold is proposed This mechanism can preserve the merits of continuous triggering, and exclude Zeno behavior. If their dimensions are not explicitly stated, are assumed to have compatible dimensions

PROBLEM DESCRIPTION AND PRELIMINARIES

NUMERICAL EXAMPLE

CONCLUSION