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IMA Journal of Mathematical Control and Information 2004 21(4):493-509; doi:10.1093/imamci/21.4.493
© 2004 by Institute of Mathematics and its Applications
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Observers for a class of Liouvillian and, non-differentially flat systems

Rafael Martinez-Guerra* and Juan Mendoza-Camargo§

CINVESTAV-IPN, Departamento de Control Automático, AP 14-740, C.P. 07360, México

In this paper, the problem of estimation of non-differentially flat and Liouvillian systems is considered. The suggested approach makes use of very simple differential algebraic tools. We propose a reduced-order observer with a gain in a Hardy field. Two examples are shown to illustrate the suggested methodology.

Keywords: non-differentially flat systems; Liouvillian systems, Hardy field; proportional reduced-order observer; nonlinear systems.

Received 10 October 2003.

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

§ Email: jmendoza{at}ctrl.cinvestav.mx


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