Robust fault detection for networked systems with communication delay and data missing

Abstract

In this paper, the robust fault detection problem is investigated for a class of discrete-time networked systems with unknown input and multiple state delays. A novel measurement model is utilized to represent both the random measurement delays and the stochastic data missing phenomenon, which are typically resulted from the limited capacity of the communication networks. Network status is assumed to vary in a Markovian fashion and its transition probability matrix is uncertain but reside in a known convex set of a polytopic type. The main purpose of this paper is to design a robust fault detection filter such that, for all unknown inputs, possible parameter uncertainties as well as incomplete measurements, the error between residual and fault is made as small as possible. By casting the addressed robust fault detection problem into an auxiliary robust H∞ filtering problem of a certain Markovian jumping system, a sufficient condition for the existence of the desired robust fault detection filter is established in terms of linear matrix inequalities. A numerical example is provided to illustrate the effectiveness and applicability of the proposed technique.

Modeling of Random Delays in Networked Control Systems

“…In practical systems, it is difficult to obtain the exact transition probability matrix of the Markov chain of the S-C delays. To solve this problem, a polytopic-type uncertainty in the transition probability matrix of the Markov chain was taken into account in [58], where both S-C delays and packet losses were simultaneously considered. The robust fault detection problem addressed there was converted into an auxiliary robust filtering problem, and a sufficient condition for the existence of the desired robust fault detection filter was established in terms of linear matrix inequalities.…”

A Distributed Networked Approach for Fault Detection of Large-Scale Systems

“…While there is an extensive literature addressing this issue in the control framework (see, for example, [25], [26], [27], [28], [29], and the references cited therein), much less literature is available in the case of fault diagnosis, especially for large-scale systems. In particular, only the decentralized fault diagnosis problem is considered (see, for example, [30], [31], [32] and [33], in which fault detection and isolation schemes for networked systems are addressed). An exception is [34] and the references cited therein, dealing with discrete-event systems.…”

Robust Fault Detection for Uncertain System with Communication Delay and Measurement Missing

“…The design of fault detection filter for linear discrete-time systems with random time-delays and measurement packet dropouts has been studied in [9]. Parity space-based and observer-based, respectively, haven been used to solve a class of Markov jump systems with measurement packet dropouts in [10,11]. However, the impact of system modeling errors on fault detection is not considered in the above literatures.…”