Selivanov, A. orcid.org/0000-0001-5075-7229 and Fridman, E. (2017) Simple conditions for sampled-data stabilization by using artificial delay. In: Dochain, D., Henrion, D. and Peaucelle, D., (eds.) IFAC-PapersOnLine. 20th IFAC World Congress, 09-14 Jul 2017, Toulouse, France. Elsevier , pp. 13295-13299.
Abstract
It is well known that in some systems a stabilizing feedback that depends on the output and its derivative can be replaced by delay-dependent feedback where the derivative is approximated by a finite difference. We study sampled-data implementation of such delay-dependent feedback. The analysis is based on the Taylor representation of the delayed signal with the remainder in the integral form, which is then compensated by appropriate Lyapunov-Krasovskii functional. This allows to obtain simple LMI-based conditions guaranteeing a desired decay rate of convergence. Using these conditions, we prove that if the system can be stabilized by continuous-time derivative-dependent feedback then it can be stabilized by sampled-data delay-dependent feedback with small enough sampling and delay. Finally, we introduce the event-triggering mechanism that allows to reduce the amount of transmitted signals at the cost of larger memory used.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2017 IFAC (International Federation of Automatic Control). This is an author produced version of a paper subsequently published in IFAC-PapersOnLine. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/). |
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: | 13 Nov 2019 15:05 |
Last Modified: | 16 Nov 2019 02:30 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.ifacol.2017.08.1328 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:153379 |