H infinity Integrated Fault Estimation and Fault Tolerant Control of Discrete-time Piecewise Linear Systems

Seyed Mojtaba Tabatabaeipour, Thomas Bak

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

3 Citationer (Scopus)

Resumé

In this paper we consider the problem of fault estimation and accommodation for discrete time piecewise linear systems. A robust fault estimator is designed to estimate the fault such that the estimation error converges to zero and H∞ performance of the fault estimation is minimized. Then, the estimate of fault is used to compensate for the effect of the fault. Hence, using the estimate of fault, a fault tolerant controller using a piecewise linear static output feedback is designed such that it stabilizes the system and provides an upper bound on the H∞ performance of the faulty system. Sufficient conditions for the existence of robust fault estimator and fault tolerant controller are derived in terms of linear matrix inequalities. Upper bounds on the H∞ performance can be minimized by solving convex optimization problems with linear matrix inequality constraints. The efficiency of the method is demonstrated by means of a numerical example.
OriginalsprogEngelsk
TitelControl Applications (CCA), 2012 IEEE International Conference on
ForlagIEEE Press
Publikationsdato2012
Sider1680-1685
ISBN (Trykt)978-1-4673-4503-3
ISBN (Elektronisk)978-1-4673-4504-0
DOI
StatusUdgivet - 2012
NavnI E E E International Conference on Control Applications. Proceedings
ISSN1085-1992

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Linear matrix inequalities
Linear systems
Controllers
Convex optimization
Error analysis
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    Tabatabaeipour, S. M., & Bak, T. (2012). H infinity Integrated Fault Estimation and Fault Tolerant Control of Discrete-time Piecewise Linear Systems. I Control Applications (CCA), 2012 IEEE International Conference on (s. 1680-1685). IEEE Press. I E E E International Conference on Control Applications. Proceedings https://doi.org/10.1109/CCA.2012.6402677
    Tabatabaeipour, Seyed Mojtaba ; Bak, Thomas. / H infinity Integrated Fault Estimation and Fault Tolerant Control of Discrete-time Piecewise Linear Systems. Control Applications (CCA), 2012 IEEE International Conference on. IEEE Press, 2012. s. 1680-1685 (I E E E International Conference on Control Applications. Proceedings).
    @inproceedings{99de2846bfcf4eebb5745ff1f0db22e4,
    title = "H infinity Integrated Fault Estimation and Fault Tolerant Control of Discrete-time Piecewise Linear Systems",
    abstract = "In this paper we consider the problem of fault estimation and accommodation for discrete time piecewise linear systems. A robust fault estimator is designed to estimate the fault such that the estimation error converges to zero and H∞ performance of the fault estimation is minimized. Then, the estimate of fault is used to compensate for the effect of the fault. Hence, using the estimate of fault, a fault tolerant controller using a piecewise linear static output feedback is designed such that it stabilizes the system and provides an upper bound on the H∞ performance of the faulty system. Sufficient conditions for the existence of robust fault estimator and fault tolerant controller are derived in terms of linear matrix inequalities. Upper bounds on the H∞ performance can be minimized by solving convex optimization problems with linear matrix inequality constraints. The efficiency of the method is demonstrated by means of a numerical example.",
    keywords = "fault estimation, fault diagnosis, piecewise affine systems, H infinity control, Fault tolerant control",
    author = "Tabatabaeipour, {Seyed Mojtaba} and Thomas Bak",
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    Tabatabaeipour, SM & Bak, T 2012, H infinity Integrated Fault Estimation and Fault Tolerant Control of Discrete-time Piecewise Linear Systems. i Control Applications (CCA), 2012 IEEE International Conference on. IEEE Press, I E E E International Conference on Control Applications. Proceedings, s. 1680-1685. https://doi.org/10.1109/CCA.2012.6402677

    H infinity Integrated Fault Estimation and Fault Tolerant Control of Discrete-time Piecewise Linear Systems. / Tabatabaeipour, Seyed Mojtaba; Bak, Thomas.

    Control Applications (CCA), 2012 IEEE International Conference on. IEEE Press, 2012. s. 1680-1685.

    Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

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    N2 - In this paper we consider the problem of fault estimation and accommodation for discrete time piecewise linear systems. A robust fault estimator is designed to estimate the fault such that the estimation error converges to zero and H∞ performance of the fault estimation is minimized. Then, the estimate of fault is used to compensate for the effect of the fault. Hence, using the estimate of fault, a fault tolerant controller using a piecewise linear static output feedback is designed such that it stabilizes the system and provides an upper bound on the H∞ performance of the faulty system. Sufficient conditions for the existence of robust fault estimator and fault tolerant controller are derived in terms of linear matrix inequalities. Upper bounds on the H∞ performance can be minimized by solving convex optimization problems with linear matrix inequality constraints. The efficiency of the method is demonstrated by means of a numerical example.

    AB - In this paper we consider the problem of fault estimation and accommodation for discrete time piecewise linear systems. A robust fault estimator is designed to estimate the fault such that the estimation error converges to zero and H∞ performance of the fault estimation is minimized. Then, the estimate of fault is used to compensate for the effect of the fault. Hence, using the estimate of fault, a fault tolerant controller using a piecewise linear static output feedback is designed such that it stabilizes the system and provides an upper bound on the H∞ performance of the faulty system. Sufficient conditions for the existence of robust fault estimator and fault tolerant controller are derived in terms of linear matrix inequalities. Upper bounds on the H∞ performance can be minimized by solving convex optimization problems with linear matrix inequality constraints. The efficiency of the method is demonstrated by means of a numerical example.

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    Tabatabaeipour SM, Bak T. H infinity Integrated Fault Estimation and Fault Tolerant Control of Discrete-time Piecewise Linear Systems. I Control Applications (CCA), 2012 IEEE International Conference on. IEEE Press. 2012. s. 1680-1685. (I E E E International Conference on Control Applications. Proceedings). https://doi.org/10.1109/CCA.2012.6402677