Journal Article

State estimation for non-linear discrete-time systems with input signals

MingQing Xiao

in IMA Journal of Mathematical Control and Information

Published on behalf of Institute of Mathematics and its Applications

Volume 26, issue 2, pages 141-150
Published in print June 2009 | ISSN: 0265-0754
Published online April 2009 | e-ISSN: 1471-6887 | DOI: http://dx.doi.org/10.1093/imamci/dnp003
State estimation for non-linear discrete-time systems with input signals

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One of the typical approaches to construct an observer for non-linear systems is to seek a change of coordinates such that the observer design can be implemented in a relatively easier way. Thus, for such an approach, the main challenge is how to find such a change of coordinates. In this paper, we will provide an explicit expression of a change of coordinates which can transform a non-linear discrete-time system with inputs into a linear system with output injections. This leads to a linearizable error dynamics and thus the estimated state converges to the actual state exponentially in the new coordinates. We also discuss the observability and controllability issues which are related to the proposed change of coordinates.

Keywords: non-linear discrete-time system; non-linear observer; linearizable error dynamics; output injection

Journal Article.  0 words. 

Subjects: Mathematics

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