Premium
Adaptive control of a class of nonlinear systems with its application to a synchronization problem
Author(s) -
Liu Lu
Publication year - 2012
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.423
Subject(s) - control theory (sociology) , synchronization (alternating current) , adaptive control , nonlinear system , convergence (economics) , class (philosophy) , chua's circuit , harmonic , computer science , control (management) , mathematics , topology (electrical circuits) , artificial intelligence , economics , physics , combinatorics , quantum mechanics , economic growth
Abstract In this paper, we first consider an adaptive stabilization problem for a class of uncertain nonlinear systems with both dynamic and static uncertainties. A sufficient condition on the convergence of the estimated parameter to the true parameter is also given. Then we show that the synchronization problem for the Chua's circuit and an uncertain harmonic system can be converted into the adaptive stabilization problem under consideration. Finally, an adaptive feedback control law is designed such that, the output of the Chua's circuit can asymptotically synchronize, in the presence of large parameter variations, with the output of the uncertain harmonic system. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society