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A Geometric Approach to Fault Detection and Isolation of Continuous-Time Markovian Jump Linear Systems

Title:

A Geometric Approach to Fault Detection and Isolation of Continuous-Time Markovian Jump Linear Systems

Meskin, Nader and Khorasani, Khashayar (2010) A Geometric Approach to Fault Detection and Isolation of Continuous-Time Markovian Jump Linear Systems. IEEE Transactions on Automatic Control, 55 (6). pp. 1343-1357. ISSN 0018-9286

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Official URL: http://dx.doi.org/10.1109/TAC.2010.2042007

Abstract

This paper is concerned with development of novel fault detection and isolation (FDI) strategies for the Markovian jump linear systems (MJLS's) and the MJLS's with time-delays (MJLSD's). First a geometric property that is related to the unobservable subspace of MJLS's is presented. The notion of a finite unobservable subspace is then introduced for the MJLSD's. The concept of unobservability subspace is introduced for both the MJLS's and the MJLSD's and an algorithm for its construction is described. The necessary and sufficient conditions for solvability of the fundamental problem of residual generation (FPRG) for the MJLS's are developed by utilizing our introduced unobservability subspace. Furthermore, sufficient solvability conditions of the FPRG for the MJLSD's are also derived. Finally, sufficient conditions for designing an H∞-based FDI algorithm for the MJLS's with an unknown transition matrix that are also subject to input and output disturbances are developed.

Divisions:Concordia University > Faculty of Engineering and Computer Science > Electrical and Computer Engineering
Item Type:Article
Refereed:Yes
Authors:Meskin, Nader and Khorasani, Khashayar
Journal or Publication:IEEE Transactions on Automatic Control
Date:2010
ID Code:974140
Deposited By:ANDREA MURRAY
Deposited On:13 Jun 2012 09:49
Last Modified:13 Jun 2012 09:49
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