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IMA Journal of Mathematical Control and Information Advance Access originally published online on June 30, 2006
IMA Journal of Mathematical Control and Information 2007 24(2):177-195; doi:10.1093/imamci/dnl014
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© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Diagnosis for a class of non-differentially flat and Liouvillian systems

R. Martínez-Guerra**, R. González-Galan, Alberto Luviano-Juárez*** and J. Cruz-Victoria****

Departamento de Control Automático, Cinvestav-IPN, AP 14-740, CP 07360, México, DF, Mexico

** Email: rguerra{at}ctrl.cinvestav.mx

*** Email: aluviano{at}ctrl.cinvestav.mx

**** Email: jvictoria{at}ctrl.cinvestav.mx


   Abstract

In this paper, we tackle the diagnosis problem for non-diferentially flat and Liouvillian systems by using the concept of differential transcendence degree of a differential field extension, as well as, we consider the algebraic observability concept of the variable which models the failure presence for the solvability of the diagnosis problem. The construction of a reduced-order uncertainty observer to estimate the fault variable is the main ingredient in our approach. Finally, we present a simulation example dealing with a ship in smooth landing to illustrate the effectiveness of the suggested approach.


Received on 26 September 2005. Revised on 24 April 2006. Accepted on 28 April 2006.


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