Discrete-time adaptive learning control for parametric uncertainties with unknown periods

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© 2013 Institute of Electrical & Electronics Engineers (IEEE). Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other work.
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Volume Title

School of Chemical Technology | A4 Artikkeli konferenssijulkaisussa

Date

2013

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Mcode

Degree programme

Language

en

Pages

1786 - 1791

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Abstract

In this paper, we approach the problem of unknown periods for a class of discrete-time parametric nonlinear systems with nonlinearities which do not necessarily satisfy the sector-bounded condition. The unknown periods hide in the parametric uncertainties, which is difficult to estimate. By incorporating a logic-based switching mechanism, we estimate the period and bound of unknown parameter simultaneously under Lyapunov-based analysis. Rigorous proof is given to demonstrate that a finite number of switchings can guarantee the asymptotic regulation of the nonlinear system considered. The simulation result also shows the efficacy of the proposed switching periodic adaptive control method.

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Keywords

discrete-time nonlinear systems, periodic adaptive control

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Citation

Miao Yu & Deqing Huang. 2013. Discrete-time adaptive learning control for parametric uncertainties with unknown periods. 2013 IEEE 52nd Annual Conference on Decision and Control (CDC). 1786-1791. ISBN 978-1-4673-5714-2 (electronic). ISBN 978-1-4673-5714-2 (printed). DOI: 10.1109/cdc.2013.6760141.