A semidefinite relaxation procedure for fault-tolerant observer design

Segundo Sevilla, Felix Rafael; Jaimoukha, Imad; Chaudhuri, Balarko; Korba, Petr

doi:10.1109/TAC.2015.2418681

Publication type:	Article in scientific journal
Type of review:	Peer review (publication)
Title:	A semidefinite relaxation procedure for fault-tolerant observer design
Authors:	Segundo Sevilla, Felix Rafael Jaimoukha, Imad Chaudhuri, Balarko Korba, Petr
DOI:	10.1109/TAC.2015.2418681
Published in:	IEEE Transactions on Automatic Control
Volume(Issue):	60
Issue:	12
Page(s):	3332
Pages to:	3337
Issue Date:	2015
Publisher / Ed. Institution:	IEEE
ISSN:	0018-9286 1558-2523
Language:	English
Subject (DDC):	621.3: Electrical, communications, control engineering
Abstract:	A fault-tolerant observer design methodology is proposed. The aim is to guarantee a minimum level of closed-loop performance under all possible sensor fault combinations while optimizing performance under the nominal, fault-free condition. A novel approach is proposed to tackle the combinatorial nature of the problem, which is computationally intractable even for a moderate number of sensors, by recasting the problem as a robust performance problem, where the uncertainty set is composed of all combinations of a set of binary variables. A procedure based on an elimination lemma and an extension of a semidefinite relaxation procedure for binary variables is then used to derive sufficient conditions (necessary and sufficient in the case of one binary variable) for the solution of the problem which significantly reduces the number of matrix inequalities needed to solve the problem. The procedure is illustrated by considering a fault-tolerant observer switching scheme in which the observer outputs track the actual sensor fault condition. A numerical example from an electric power application is presented to illustrate the effectiveness of the design.
URI:	https://digitalcollection.zhaw.ch/handle/11475/1720
Fulltext version:	Published version
License (according to publishing contract):	Licence according to publishing contract
Departement:	School of Engineering
Organisational Unit:	Institute of Energy Systems and Fluid Engineering (IEFE)
Appears in collections:	Publikationen School of Engineering

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Segundo Sevilla, F. R., Jaimoukha, I., Chaudhuri, B., & Korba, P. (2015). A semidefinite relaxation procedure for fault-tolerant observer design. IEEE Transactions on Automatic Control, 60(12), 3332–3337. https://doi.org/10.1109/TAC.2015.2418681

Segundo Sevilla, F.R. et al. (2015) ‘A semidefinite relaxation procedure for fault-tolerant observer design’, IEEE Transactions on Automatic Control, 60(12), pp. 3332–3337. Available at: https://doi.org/10.1109/TAC.2015.2418681.

F. R. Segundo Sevilla, I. Jaimoukha, B. Chaudhuri, and P. Korba, “A semidefinite relaxation procedure for fault-tolerant observer design,” IEEE Transactions on Automatic Control, vol. 60, no. 12, pp. 3332–3337, 2015, doi: 10.1109/TAC.2015.2418681.

SEGUNDO SEVILLA, Felix Rafael, Imad JAIMOUKHA, Balarko CHAUDHURI und Petr KORBA, 2015. A semidefinite relaxation procedure for fault-tolerant observer design. IEEE Transactions on Automatic Control. 2015. Bd. 60, Nr. 12, S. 3332–3337. DOI 10.1109/TAC.2015.2418681

Segundo Sevilla, Felix Rafael, Imad Jaimoukha, Balarko Chaudhuri, and Petr Korba. 2015. “A Semidefinite Relaxation Procedure for Fault-Tolerant Observer Design.” IEEE Transactions on Automatic Control 60 (12): 3332–37. https://doi.org/10.1109/TAC.2015.2418681.

Segundo Sevilla, Felix Rafael, et al. “A Semidefinite Relaxation Procedure for Fault-Tolerant Observer Design.” IEEE Transactions on Automatic Control, vol. 60, no. 12, 2015, pp. 3332–37, https://doi.org/10.1109/TAC.2015.2418681.