Trodden, P. (2014) Feasible parallel-update distributed MPC for uncertain linear systems sharing convex constraints. Systems & Control Letters, 74. pp. 98-107. ISSN 0167-6911
Abstract
A distributed MPC approach for linear uncertain systems sharing convex constraints is presented. The systems, which are dynamically decoupled but share constraints on state and/or inputs, optimize once, in parallel, at each time step and exchange plans with neighbours thereafter. Coupled constraint satisfaction is guaranteed, despite the simultaneous decision making, by extra constraint tightening in each local problem. Necessary and sufficient conditions are given on the margins for coupled constraint satisfaction, and a simple on-line scheme for selecting margins is proposed that satisfies the conditions. Robust feasibility and stability of the overall system are guaranteed by use of the tube MPC concept in conjunction with the extra coupled constraint tightening.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 Elsevier Ltd. This is an author produced version of a paper subsequently published in Systems & Control Letters. 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/) |
Keywords: | Control of constrained systems; Predictive control; Decentralization; Time-invariant |
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 Oct 2015 15:55 |
Last Modified: | 26 Oct 2016 05:28 |
Published Version: | http://dx.doi.org/10.1016/j.sysconle.2014.08.012 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.sysconle.2014.08.012 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:90477 |