Selivanov, A. orcid.org/0000-0001-5075-7229 and Fridman, E. (2016) Sampled-data relay control of semilinear diffusion PDEs. In: 2016 IEEE 55th Conference on Decision and Control (CDC). 2016 IEEE 55th Conference on Decision and Control (CDC), 12-14 Dec 2016, Las Vegas, NV, USA. IEEE , pp. 4821-4826. ISBN 9781509018383
Abstract
We consider sampled-data relay control of semilinear diffusion PDEs. Several control signals, subject to unknown bounded disturbances, enter the system through shape functions. The only information required for calculating the control signal is the sign of a weighted average of the state. First, for a nonlinearity from an arbitrary sector, we derive LMI-based conditions that determine how many controllers one should use to ensure local convergence to a bounded set. For a fixed domain of initial conditions the size of a limit set is proportional to a sampling period. Then we propose a switching procedure for controllers' gains that ensures convergence from an arbitrary domain to the same limit set.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, 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 components of this work in other works. 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: | 15 Nov 2019 12:32 |
Last Modified: | 15 Nov 2019 12:37 |
Published Version: | https://ieeexplore.ieee.org/abstract/document/7799... |
Status: | Published |
Publisher: | IEEE |
Refereed: | Yes |
Identification Number: | 10.1109/CDC.2016.7799005 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:153382 |