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Admissible sets for chance-constrained difference inclusions

Abstract:
We study the Maximal Admissible Set (MAS) of a linear difference inclusion under a chance constraint involving random variables with bounded support. After showing that it is difficult to compute this set in general, we suggest inner and outer approximations that can be computed using existing algorithms. The inner approximations are themselves constraint admissible sets and can be represented by a finite number of chance constraints. We give examples to demonstrate the low level of conservatism of these approximations and to illustrate the potential application in Model Predictive Control.
Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author


Publisher:
Institute of Electrical and Electronics Engineers
Host title:
Proceedings of the 2016 American Control Conference
Journal:
Proceedings of the 2016 American Control Conference More from this journal
Publication date:
2016-08-01
Acceptance date:
2016-01-28
EISSN:
2378-5861
ISBN:
9781467386838


Keywords:
Pubs id:
pubs:629616
UUID:
uuid:356874ac-ee56-4353-a58a-0593ecd0c24e
Local pid:
pubs:629616
Source identifiers:
629616
Deposit date:
2016-06-24

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