Hernandez Vicente, B.A. and Trodden, P. orcid.org/0000-0002-8787-7432 (2019) Switching tube-based MPC: characterization of minimum dwell-time for feasible and robustly stable switching. IEEE Transactions on Automatic Control, 64 (10). pp. 4345-4352. ISSN 0018-9286
Abstract
We study the problem of characterizing mode dependent dwell-times that guarantee safe and stable operation of disturbed switching linear systems in an MPC framework. We assume the switching instances are not known a-priori, but instantly at the moment of switching. We first characterize dwell-times that ensure feasible and stable switching between independently designed robust MPC controllers by means of the well established exponential stability result available in the MPC literature. Then, we employ the concept of multi-set invariance to improve on our previous results, and obtain an exponential stability guarantee for the switching closed-loop dynamics. The theoretical findings are illustrated via a numerical example.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 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. |
Keywords: | Model predictive control; switching systems; dwell-time; robust control; stability |
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: | 05 Feb 2019 14:05 |
Last Modified: | 17 Nov 2021 09:59 |
Status: | Published |
Publisher: | Institute of Electrical and Electronics Engineers |
Refereed: | Yes |
Identification Number: | 10.1109/TAC.2019.2897551 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:142103 |