Selivanov, A. orcid.org/0000-0001-5075-7229, Lehnert, J., Fradkov, A. et al. (1 more author) (2015) Adaptive time-delayed stabilization of steady states and periodic orbits. Physical Review E, 91 (1). 012906-1-012906-7. ISSN 2470-0045
Abstract
We derive adaptive time-delayed feedback controllers that stabilize fixed points and periodic orbits. First, we develop an adaptive controller for stabilization of a steady state by applying the speed-gradient method to an appropriate goal function and prove global asymptotic stability of the resulting system. For an example we show that the advantage of the adaptive controller over the nonadaptive one is in a smaller controller gain. Second, we propose adaptive time-delayed algorithms for stabilization of periodic orbits. Their efficiency is confirmed by local stability analysis. Numerical examples demonstrate the applicability of the proposed controllers.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2015 American Physical Society. Reproduced in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 27 Mar 2020 08:14 |
Last Modified: | 27 Mar 2020 23:20 |
Status: | Published |
Publisher: | American Physical Society |
Refereed: | Yes |
Identification Number: | 10.1103/physreve.91.012906 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:158813 |