Distributed fault estimation with randomly occurring uncertainties over sensor networks

Abstract

This paper is concerned with the distributed fault estimation problem for a class of uncertain stochastic systems over sensor networks. The norm-bounded uncertainty enters into the system in a random way governed by a set of Bernoulli distributed white sequence. The purpose of the addressed problem is to design distributed fault estimators, via available output measurements from not only the individual sensor but also its neighboring sensors, such that the fault estimation error converges to zero exponentially in the mean square while the disturbance rejection attenuation is constrained to a give level by means of the H ∞ performance index. Intensive stochastic analysis is carried out to obtain sufficient conditions for ensuring the exponential stability as well as prescribed H ∞ performance for the overall estimation error dynamics. Simulation results are provided to demonstrate the effectiveness of the proposed fault estimation technique in this paper.

Event-based state estimation for a class of complex networks with time-varying delays: A comparison principle approach

“…Finally, a simulation has been given to illustrate the effectiveness of our theoretical results. Further research topics include the extension of this work to more general systems such as Markovian jumping systems [20], [30], [40], discrete-time systems and sensor networks [9], [22], [23].…”

A survey on distributed filtering, estimation and fusion for nonlinear systems with communication constraints: new advances and prospects

“…The distributed filtering problem has been examined in Dong et al (2014) for nonlinear systems with randomly occurring saturation and successive packet dropouts modelled by the Bernoulli distributed random variables. In Hu et al (2015), Dong, Wang, Bu, et al (2016), the distributed filtering and estimation problems have been investigated for nonlinear systems with randomly occurring uncertainties and nonlinearities based on the LMI method. In Bu et al (2018), the problem of the distributed non-fragile fault estimation has been studied for nonlinear systems with randomly occurring nonlinearities and gain variations.…”

Distributed fault estimation for linear systems with actuator faults

“…It should be pointed out that, for a single monitored system, in contrast with many existing results on distributed FDI problems, distributed fault estimation problems have been little studied. In Reference 25, a distributed fault estimation problem was studied in which each node collects its neighbor's output measurements and constructs a local fault estimation observer. Some results on fault diagnosis have been proposed based on multiple sensors.…”