Constrained control of chaos

Tian, Yu-Chu, Tade, Moses O., & Levy, David (2002) Constrained control of chaos. Physics Letters. Section A: General, Atomic and Solid State Physics, 296(2-3), pp. 87-90.

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Chaos control with an additive, inequality constrained, and scalar control input is investigated. The control purpose is to stabilize the unstable system equilibrium or equilibria. The control problem is formulated as an optimal control and is solved with the minimum principle. The resulting control law is a bang-bang control, which switches once or more times from one of its extreme values to another. This switching control is shown to be effective for chaos control, even if a small control input is applied. The proposed control strategy is illustrated with the Lorenz system.

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32 citations in Scopus
30 citations in Web of Science®
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427 since deposited on 10 Jun 2005
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ID Code: 1533
Item Type: Journal Article
Refereed: Yes
Keywords: chaos control, feedback control, inequality constraints, bang, bang control, Lorenz system
DOI: 10.1016/S0375-9601(02)00285-2
ISSN: 0375-9601
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 2002 Elsevier
Copyright Statement: Reproduced in accordance with the copyright policy of the publisher.
Deposited On: 10 Jun 2005 00:00
Last Modified: 10 Aug 2011 17:44

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