Bauso, D. (2009) Boolean-controlled systems via receding horizon and linear programing. Mathematics of Control, Signals, and Systems (MCSS), 21 (1). 69 - 91. ISSN 0932-4194
Abstract
We consider dynamic systems controlled by boolean signals or decisions. We show that in a number of cases, the receding horizon formulation of the control problem can be solved via linear programing by relaxing the binary constraints on the control. The idea behind our approach is conceptually easy: a feasible control can be forced by imposing that the boolean signal is set to one at least one time over the horizon. We translate this idea into constraints on the controls and analyze the polyhedron of all feasible controls. We specialize the approach to the stabilizability of switched and impulsively controlled systems.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2009 Springer. This is an author produced version of a paper subsequently published in Mathematics of Control, Signals, and Systems. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Impulse control; Inventory control; Hybrid systems |
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: | 10 Sep 2015 11:39 |
Last Modified: | 29 Mar 2018 03:07 |
Published Version: | http://dx.doi.org/10.1007/s00498-009-0038-3 |
Status: | Published |
Publisher: | Springer Verlag |
Refereed: | Yes |
Identification Number: | 10.1007/s00498-009-0038-3 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:89742 |