Journal Article

Observers for one-sided Lipschitz non-linear systems

Guang-Da Hu

in IMA Journal of Mathematical Control and Information

Published on behalf of Institute of Mathematics and its Applications

Volume 23, issue 4, pages 395-401
Published in print December 2006 | ISSN: 0265-0754
Published online December 2006 | e-ISSN: 1471-6887 | DOI:
Observers for one-sided Lipschitz non-linear systems

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In this paper, observer design of a class of non-linear systems is considered. The one-sided Lipschitz condition is introduced to estimate the influence of non-linear vector functions on the observer. Based on the one-sided Lipschitz condition, sufficient conditions for the existence of observers of the class of non-linear systems are presented which are less conservative than the results based on Lipschitz condition in literature. When the linear part of non-linear systems is not stabilized by the observer gain matrix, a sufficient condition for the observer design is given which shows that a negative one-sided Lipschitz constant, which includes information of the non-linear part, is useful to design a non-linear observer.

Keywords: non-linear observer; the one-sided Lipschitz condition; the Lipschitz condition

Journal Article.  0 words. 

Subjects: Mathematics

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