LMI-based sensor fault diagnosis for nonlinear Lipschitz systems

Pertew, A.M.; Marquez, Horacio J.; Zhao, Qing

doi:10.1016/j.automatica.2007.01.015

Cited by 128 publications

(57 citation statements)

References 12 publications

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“…Alternatively, the multi-object optimization problem described by (4) can be reformulated by linear matrix inequality (LMI), which has been a popular method for fault diagnosis research and applications owing to its wide applicability to a variety of dynamic systems. Recent development of the LMI-based fault diagnosis can be found for various systems such as Lipschitz nonlinear systems [48], TS fuzzy nonlinear systems [49,50], time-delay systems [51], switching systems [52], and application to structure damage detection [53], and shaft crack detection [54] etc.…”

Section: Fig 3 Scheme Of Model-based Fault Diagnosismentioning

confidence: 99%

A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part I: Fault Diagnosis With Model-Based and Signal-Based Approaches

Gao

Cecati

Ding

2015

IEEE Trans. Ind. Electron.

2,399

937

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Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.) IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Abstract-With the ever increase of complexity and expense of industrial systems, there is less tolerance for performance degradation, productivity decrease and safety hazards, which greatly stimulates to detect and identify any kinds of potential abnormalities and faults as early as possible, and implement realtime fault-tolerant operation for minimizing performance degradation and avoiding dangerous situations. During the last four decades, fruitful results were reported about fault diagnosis and fault-tolerant control methods and their applications in a variety of engineering systems. The three-part survey paper aims to give a comprehensive review for real-time fault diagnosis and fault tolerant control with particular attention on the results reported in the last decade. In the first-part review, fault diagnosis approaches and their applications are reviewed comprehensively from model-based and signal-based perspectives, respectively.

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Section: Fig 3 Scheme Of Model-based Fault Diagnosismentioning

confidence: 99%

A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part I: Fault Diagnosis With Model-Based and Signal-Based Approaches

Gao

Cecati

Ding

2015

IEEE Trans. Ind. Electron.

2,399

937

View full text Add to dashboard Cite

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“…On the other hand, since nonlinear systems are more common in practice, observer based FD techniques for nonlinear systems have also been studied extensively (Frank, 1994;Hammouri et al, 1999;Ferrari et al, 2007;Narasimhan et al, 2007;Shumsky, 2007;Edelmayer et al, 2004). There are many works dealing with Lipschitz nonlinear systems (Pertew et al, 2007;Chen and Saif, 2007;Rajamani and Ganguli, 2004;Yaz and Azemi, 1998;de Souza et al, 1993;Xie et al, 1996;Abbaszadeh and Marquez, 2008), since, under some conditions, more general nonlinear systems can be transformed into Lipschitz nonlinear systems (Rajamani, 1998). In this paper, we extend the integrated FD system design ap-proach which has been well developed for linear systems to uncertain Lipschitz nonlinear systems, based on the following formulation: Given the FDR, minimize the FAR.…”

Section: Introductionmentioning

confidence: 99%

Integrated design of observer based fault detection for a class of uncertain nonlinear systems

Chen¹,

Khan²,

Abid³

et al. 2011

International Journal of Applied Mathematics and Computer Science

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Integrated design of observer based Fault Detection (FD) for a class of uncertain nonlinear systems with Lipschitz nonlinearities is studied. In the context of norm based residual evaluation, the residual generator and evaluator are designed together in an integrated form, and, based on it, a trade-off FD system is finally achieved in the sense that, for a given Fault Detection Rate (FDR), the False Alarm Rate (FAR) is minimized. A numerical example is given to illustrate the effectiveness of the proposed design method.

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“…As a result of proper process monitoring, downtime is minimized, safety of plant operations is improved, and manufacturing costs are reduced [2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Fault Diagnosis Based on Graph Theory and Linear Discriminant Principle in Electric Power Network

Zhang¹,

Ma²,

Zhang³

et al. 2010

WSN

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In this paper, we adopt a novel topological approach to fault diagnosis. In our researches, global information will be introduced into electric power network, we are using mainly BFS of graph theory algorithms and linear discriminant principle to resolve fast and exact analysis of faulty components and faulty sections, and finally accomplish fault diagnosis. The results of BFS and linear discriminant are identical. The main technical contributions and innovations in this paper include, introducing global information into electric power network, developing a novel topological analysis to fault diagnosis. Graph theory algorithms can be used to model many different physical and abstract systems such as transportation and communication networks, models for business administration, political science, and psychology and so on. And the linear discriminant is a procedure used to classify an object into one of several a priori groupings dependent on the individual characteristics of the object. In the study of fault diagnosis in electric power network, graph theory algorithms and linear discriminant technology must also have a good prospect of application.

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LMI-based sensor fault diagnosis for nonlinear Lipschitz systems

Cited by 128 publications

References 12 publications

A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part I: Fault Diagnosis With Model-Based and Signal-Based Approaches

A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part I: Fault Diagnosis With Model-Based and Signal-Based Approaches

Integrated design of observer based fault detection for a class of uncertain nonlinear systems

Fault Diagnosis Based on Graph Theory and Linear Discriminant Principle in Electric Power Network

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