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