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Tracking Control of a Class of Chaotic Systems

1
School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Science), Jinan 250353, China
2
School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Science), Jinan 250353, China
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(4), 568; https://doi.org/10.3390/sym11040568
Received: 20 February 2019 / Revised: 21 March 2019 / Accepted: 12 April 2019 / Published: 19 April 2019
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PDF [273 KB, uploaded 19 April 2019]
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Abstract

This paper investigates the asymptotic tracking control problem of the chaotic system. Firstly, a reference system is presented, the output of which can asymptotically track a given command. Then, a both physically implementable and simple controller is designed, by which the given chaotic system synchronizes the reference system, and thus the output of such chaotic systems can asymptotically track the given command. It should be pointed out that the output of the given chaotic system can asymptotically track arbitrary desired periodic orbits. Finally, several illustrative examples are taken as example to show the validity and effectiveness of the obtained results. View Full-Text
Keywords: chaotic systems; asymptotic tracking control; reference system; feedback control; periodic orbits chaotic systems; asymptotic tracking control; reference system; feedback control; periodic orbits
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Yang, A.; Li, L.; Wang, Z.; Guo, R. Tracking Control of a Class of Chaotic Systems. Symmetry 2019, 11, 568.

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