An LMI Approach to Distributed Fault Detection Filter Structure Design for Plantwide Systems

In this article, the event-triggered fault detection filter design problem is concerned with uncertain stochastic systems subject to package dropouts. First, a filter structure is constructed to achieve the desired fault detection objective. Second, an integrated model with an event-triggered scheme and a Bernoulli stochastic process are employed to save the limited network resources and describe the package dropouts phenomenon, which always appears in the real network environment. A new sufficient condition is provided to ensure that the obtained residual system is mean square robustly exponentially stable and satisfies the desired detection performance. Then, a novel co-design algorithm is derived to obtain the parameters of filter and event-triggered scheme. Finally, two simulation examples are provided to verify the effectiveness of the proposed design scheme.

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An LMI Approach to Robust Fault Detection Filter Design for Uncertain State-Delayed Systems

Advances in Machine Learning and Cybernetics - Lecture Notes in Computer Science ◽

10.1007/11739685_12 ◽

2006 ◽

pp. 112-121

Author(s):

Hongru Wang ◽

Changhong Wang ◽

Huijun Gao

Keyword(s):

Fault Detection ◽

Filter Design ◽

Lmi Approach ◽

Delayed Systems ◽

Fault Detection Filter ◽

Robust Fault Detection ◽

Detection Filter

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Optimal Hi=H∞ fault detection filter design: An iterative LMI approach

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference ◽

10.1109/cdc.2009.5399722 ◽

2009 ◽

Author(s):

W. Li ◽

S. X. Ding ◽

Z. C. Zhu

Keyword(s):

Fault Detection ◽

Filter Design ◽

Lmi Approach ◽

Fault Detection Filter ◽

Detection Filter

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An LMI approach to design robust fault detection filter for uncertain LTI systems

Automatica ◽

10.1016/s0005-1098(02)00269-8 ◽

2003 ◽

Vol 39 (3) ◽

pp. 543-550 ◽

Cited By ~ 421

Author(s):

Maiying Zhong ◽

Steven X. Ding ◽

James Lam ◽

Haibo Wang

Keyword(s):

Fault Detection ◽

Lmi Approach ◽

Fault Detection Filter ◽

Robust Fault Detection ◽

Detection Filter

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Distributed Fault Detection for a Class of Nonlinear Stochastic Systems

Mathematical Problems in Engineering ◽

10.1155/2014/498630 ◽

2014 ◽

Vol 2014 ◽

pp. 1-8

Author(s):

Bingyong Yan ◽

Huazhong Wang ◽

Huifeng Wang

Keyword(s):

Fault Detection ◽

Stochastic Systems ◽

Linear Matrix ◽

False Alarms ◽

Nonlinear Stochastic Systems ◽

Design Procedures ◽

Fault Detection Filter ◽

Consensus Filter ◽

Distributed Fault Detection ◽

Detection Filter

A novel distributed fault detection strategy for a class of nonlinear stochastic systems is presented. Different from the existing design procedures for fault detection, a novel fault detection observer, which consists of a nonlinear fault detection filter and a consensus filter, is proposed to detect the nonlinear stochastic systems faults. Firstly, the outputs of the nonlinear stochastic systems act as inputs of a consensus filter. Secondly, a nonlinear fault detection filter is constructed to provide estimation of unmeasurable system states and residual signals using outputs of the consensus filter. Stability analysis of the consensus filter is rigorously investigated. Meanwhile, the design procedures of the nonlinear fault detection filter are given in terms of linear matrix inequalities (LMIs). Taking the influence of the system stochastic noises into consideration, an outstanding feature of the proposed scheme is that false alarms can be reduced dramatically. Finally, simulation results are provided to show the feasibility and effectiveness of the proposed fault detection approach.

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