An Adaptive High Gain Observer Design for Nonlinear Systems

Sungryul LEE  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E97-A   No.9   pp.1966-1970
Publication Date: 2014/09/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E97.A.1966
Type of Manuscript: LETTER
Category: Systems and Control
Keyword: 
nonlinear systems,  adaptive high gain observer,  Lipschitz constant,  

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Summary: 
This paper studies an adaptive high gain observer design for nonlinear systems which have lower triangular nonlinearity with Lipschitz coefficient, depending on the control input. Because the gain of the proposed observer is tuned automatically by a simple update law, our design approach doesn't need any information about the Lipschitz constant. Also, it is shown that under some assumptions, the dynamic gain of the proposed observer is bounded and its estimation error converges to zero asymptotically. Finally, a numerical example is given to verify the effectiveness of our design approach.