A Semidefinite Relaxation Procedure for Fault-Tolerant Observer Design

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Title: A Semidefinite Relaxation Procedure for Fault-Tolerant Observer Design
Authors: Segundo Sevilla, FR
Jaimoukha, I
Chaudhuri, B
Korba, P
Item Type: Journal Article
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.
Issue Date: 1-Apr-2015
Date of Acceptance: 19-Mar-2015
URI: http://hdl.handle.net/10044/1/38871
DOI: http://dx.doi.org/10.1109/TAC.2015.2418681
ISSN: 1558-2523
Publisher: IEEE
Start Page: 3332
End Page: 3337
Journal / Book Title: IEEE Transactions on Automatic Control
Volume: 60
Issue: 12
Copyright Statement: © 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Sponsor/Funder: ABB Switzerland Ltd.
Funder's Grant Number: Contract No: 2009-303-01
Keywords: Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Engineering
Estimation
fault-tolerant systems
LMIs
semidefinite relaxation
sensor failure
INTEGER PROGRAMMING PROBLEM
PARAMETER-VARYING SYSTEMS
CONTROLLER REDUCTION
RELIABLE CONTROL
NETWORK
BOUNDS
Industrial Engineering & Automation
0906 Electrical And Electronic Engineering
0102 Applied Mathematics
0913 Mechanical Engineering
Publication Status: Published
Appears in Collections:Faculty of Engineering
Electrical and Electronic Engineering



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