Fault detection filter design for networked multi‐rate systems with fading measurements and randomly occurring faults

Abstract

In this paper, the fault detection problem is investigated for a class of networked multi-rate systems (NMSs) with network-induced fading channels and randomly occurring faults. The stochastic characteristics of the fading measurements are governed by mutually independent random channel coefficients over the known interval [0,1]. By applying the lifting technique, the system model for the observer-based fault detection is established. With the aid of the stochastic analysis approach, sufficient conditions are established under which the stochastic stability of the error dynamics for the state estimation is guaranteed and the prescribed H ∞ performance constraint on the error dynamics for the fault estimation is achieved. Based on the established conditions, the addressed fault detection problem of NMSs is recast as a convex optimization one that can be solved via the semi-definite program method, and the explicit expression of the desired fault detection filter is derived by means of the feasibility of certain matrix inequalities. The main results are specialized to the networked single-rate systems that are a special case of the NMSs. Finally, two simulation examples are utilized to illustrate the effectiveness of the proposed fault detection method.

Decentralized fault detection and isolation of Markovian jump interconnected systems with unknown interconnections

“…/ satisfying the condition (5). Differentiating (14) along the trajectories of (12) and combining with Lemma 4 lead to…”

Robust finite-horizon filtering for nonlinear time-delay Markovian jump systems with weighted try-once-discard protocol

“…sensors, filter, and controller) are connected through a shared network transmission channel. In comparison to the traditional point-to-point connection systems, the introduction of the transmission network inevitably brings a lot of network-induced phenomena, such as packet dropouts (Dong, Lam, & Gao, 2011;Sun, Xie, Xiao, & Soh, 2008;Wen, Wang, Hu, Liu, & Alsaadi, 2018), signal quantization (Chen, Wang, Qian, & Alsaadi, 2018;Dong, Wang, Ding, & Gao, 2015b;Gao & Chen, 2007;Geng, Wang, Liang, Cheng, & Alsaadi, 2017b;Tian, Yue, & Peng, 2008;Zhang, Ma, & Liu, 2016;Zhang, Wang, & Ma, 2016), communication delay Zhu et al, 2008), fading channels (Ding, Wang, Shen, & Dong, 2015a;Dong, Wang, Ding, & Gao, 2015a;Geng, Wang, Liang, Cheng, & Alsaadi, 2017a;Zhang et al, 2018;Zhang, Wang, Zou, & Fang, 2017;Zhang, Wang, Zou, & Liu, 2016), to name but a few. These network-induced phenomena lead to additional difficulties in analysis/synthesis problems and therefore have attracted considerable research interest.…”

A class of observer‐based fault diagnosis schemes under closed‐loop control: performance evaluation and improvement

“…In the past decades, the fault detection and diagnosis (FDD) problems have been attracting considerable research attention because of the increasing complexity and safety demands in modern industrial systems [1,2,3,4]. To improve the reliability of practical systems, the FDD problems have been extensively studied in a variety of situations such as photovoltaic panels [5], diesel engines [6], induction motors [7], underground cables [8], steam turbines [9], high-speed railways [10], etc.…”