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Adaptive output feedback control for a class of planar nonlinear systems
Author(s) -
Shang Fang,
Liu Yungang,
Zhang Chenghui
Publication year - 2009
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.139
Subject(s) - control theory (sociology) , nonlinear system , correctness , controller (irrigation) , observer (physics) , planar , adaptive control , stability (learning theory) , class (philosophy) , control (management) , mathematics , control system , computer science , engineering , algorithm , artificial intelligence , physics , computer graphics (images) , electrical engineering , quantum mechanics , machine learning , agronomy , biology
This paper is concerned with the problem of global adaptive stabilization by output feedback for a class of planar nonlinear systems with uncertain control coefficient and unknown growth rate. The control coefficient is not supposed to have known upper bound, and this relaxes the corresponding requirement in the existing literature (see e.g. 1, 2. First, by the universal control method, an observer is constructed based on the dynamic high‐gain K‐filters. Then, the control design procedure is developed to obtain the stabilizing controller and dynamic compensator for the uncertainties in the control coefficient. It is shown that the global stability of the closed‐loop system can be guaranteed by the appropriate choice of the design parameters. A simulation example is also provided to illustrate the correctness of the theoretical results. © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society.