Fault diagnosis and fault tolerant control using set-membership approaches: Application to real case studies

Puig, Vicenç

doi:10.2478/v10006-010-0046-y

Cited by 166 publications

(141 citation statements)

References 54 publications

(60 reference statements)

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“…In the control literature, these approaches are known as set-membership, or error-bounded methods. For a review of set-membership approaches see Puig (2010) and Ingimundarson, Bravo, Puig, Alamo, and Guerra (2009). Relevant to this line of research are the methods in Olaru, De Doná, and Seron (2010) and Seron, Zhou, De Doná, and Martinez (2008) where positive invariant sets are used to obtain a set characterisation of faulty and healthy behaviour of residual signals.…”

Section: Introductionmentioning

confidence: 99%

Active fault detection and isolation of discrete-time linear time-varying systems: a set-membership approach

Tabatabaeipour

2013

International Journal of Systems Science

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Link back to DTU OrbitCitation (APA): Tabatabaeipour, M. (2013). Active fault detection and isolation of discrete-time linear time-varying systems: a set-membership approach. International Journal of Systems Science. DOI: 10.1080DOI: 10. /00207721.2013 This article was downloaded by: [ PLEASE SCROLL DOWN FOR ARTICLETaylor & Francis makes every effort to ensure the accuracy of all the information (the "Content") contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opinions and views of the authors, and are not the views of or endorsed by Taylor & Francis. The accuracy of the Content should not be relied upon and should be independently verified with primary sources of information. Taylor and Francis shall not be liable for any losses, actions, claims, proceedings, demands, costs, expenses, damages, and other liabilities whatsoever or howsoever caused arising directly or indirectly in connection with, in relation to or arising out of the use of the Content. This article may be used for research, teaching, and private study purposes. Any substantial or systematic reproduction, redistribution, reselling, loan, sub-licensing, systematic supply, or distribution in any form to anyone is expressly forbidden. Terms & Conditions of access and use can be found at http:// www.tandfonline.com/page/terms-and-conditions Active fault detection and isolation (AFDI) is used for detection and isolation of faults that are hidden in the normal operation because of a low excitation signal or due to the regulatory actions of the controller. In this paper, a new AFDI method based on set-membership approaches is proposed. In set-membership approaches, instead of a point-wise estimation of the states, a set-valued estimation of them is computed. If this set becomes empty the given model of the system is not consistent with the measurements. Therefore, the model is falsified. When more than one model of the system remains un-falsified, the AFDI method is used to generate an auxiliary signal that is injected into the system for detection and isolation of faults that remain otherwise hidden or non-isolated using passive FDI (PFDI) methods. Having the set-valued estimation of the states for each model, the proposed AFDI method finds an optimal input signal that guarantees FDI in a finite time horizon. The input signal is updated at each iteration in a decreasing receding horizon manner based on the set-valued estimation of the current states and un-falsified models at the current sample time. The problem is solved by a number of linear and quadratic programming problems, which result in a computationally efficient algorithm. The method is tested on a numerical example as well as on the pitch actuator of a benchmark wind turbine.

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Section: Introductionmentioning

confidence: 99%

Active fault detection and isolation of discrete-time linear time-varying systems: a set-membership approach

Tabatabaeipour

2013

International Journal of Systems Science

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“…In the last decades, interval state estimation for systems without fault has been extensively studied within a set-theoretic framework, see e.g. in Gouzé et al (2000); Puig et al (2008);Puig (2010); Efimov and Raïssi (2016); Chambon et al (2016) and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Zonotopic Fault Estimation Filter Design for Discrete-time Descriptor Systems

Wang

Puig

et al. 2017

IFAC-PapersOnLine

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This paper considers actuator-fault estimation for discrete-time descriptor systems with unknown but bounded system disturbance and measurement noise. A zonotopic fault estimation filter is designed based on the analysis of fault detectability indexes. To ensure estimation accuracy, the filter gain in the zonotopic fault estimation filter is optimized through the zonotope minimization. The designed zonotopic filter not only can estimate fault magnitudes, but it also provides fault estimation results in an interval, i.e. the upper and lower bounds of fault magnitudes. Moreover, the proposed fault estimation filter has a non-singular structure and hence is easy to implement. Finally, simulation results are provided to illustrate the effectiveness of the proposed method.

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“…From the application point of view, the set-based approaches are very popular in the fault diagnosis framework, e.g. [16], [26], [24].…”

Section: Introductionmentioning

confidence: 99%

Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systems

2018

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This paper proposes a set-membership state estimator and a zonotopic Kalman observer for discrete-time descriptor systems. Both approaches are developed in a set-based context considering system disturbances, measurement noise, and unknown inputs. This set-membership state estimation approach determines the set of consistent states with the model and measurements by constructing a parameterized intersection zonotope. Two methods to minimize the size of this intersection zonotope are provided: one inspired by Kalman filtering and the other based on solving an optimization problem involving a series of linear matrix inequalities. Additionally, we propose a zonotopic Kalman observer for discrete-time descriptor systems. Moreover, the relationship between both approaches is discussed. In particular, it is proved that the zonotopic Kalman observer in the current estimation type is equivalent to the set-membership approach. Finally, a numerical example is used to illustrate and compare the effectiveness of the proposed approaches.

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Fault diagnosis and fault tolerant control using set-membership approaches: Application to real case studies

Cited by 166 publications

References 54 publications

Active fault detection and isolation of discrete-time linear time-varying systems: a set-membership approach

Active fault detection and isolation of discrete-time linear time-varying systems: a set-membership approach

Zonotopic Fault Estimation Filter Design for Discrete-time Descriptor Systems

Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systems

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