Finite-Time Fault Detection for Networked Nonlinear System with Quantization Under Event-Triggered Scheme

This paper addresses the problem of finite-time fault detection (FD) for nonlinear system with output quantization and randomly occurring faults (ROFs). In order to reduce the burden of network transmission, the event-triggered scheme (ETS) is adopted to schedule the data transmission. The sufficient conditions are derived based on the Lyapunov stability theory to ensure that the residual dynamic system is finite-time stochastically stable (FTSS) and attains a satisfactory $H_{\infty}$ performance. Moreover, the desired FD filter matrices are obtained by solving linear matrix inequalities (LMIs). In the end, a simulation is provided to verify the feasibility and effectiveness of the designed FD scheme.

I. Introduction

To cope with the demand for higher reliability and security of system, timely fault detection (FD) is very necessary [1]. In addition, it is often expected that the system meets performance requirements within a limited time in practical applications [2]. Therefore, the problem of finite-time FD has become a research hotspot and many achievements have been proposed. For instance, the finite-time FD scheme has been developed in [3] for networked system with multiple packet dropouts, where sufficient conditions for the presence of designed FD filter are derived by means of Lyapunov stability theory. Moreover, the finite-time FD filter design issue has been addressed in [4] for nonlinear system with probabilistic interval delays and randomly occurring faults (ROFs), where a Markov chain is used to describe the randomness of fault occurrence. However, to the best of authors'knowledge, the finite-time FD issue regarding ROFs has not been fully discussed.