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How scaling of the disturbance set affects robust positively invariant sets for linear systems

Abstract:
This paper presents new results on robust positively invariant (RPI) sets for linear discrete-time systems with additive disturbances. In particular, we study how RPI sets change with scaling of the disturbance set. More precisely, we show that many properties of RPI sets crucially depend on a unique scaling factor, which determines the transition from nonempty to empty RPI sets. We characterize this critical scaling factor, present an efficient algorithm for its computation, and analyze it for a number of examples from the literature.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1002/rnc.3737

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author
More by this author
Institution:
University of Oxford
Oxford college:
St John's College
Role:
Author

Publisher:
Wiley
Journal:
International Journal of Robust and Nonlinear Control More from this journal
Publication date:
2017-01-01
Acceptance date:
2016-11-27
DOI:
EISSN:
1099-1239
ISSN:
1049-8923

Keywords:
Pubs id:
pubs:676060
UUID:
uuid:17e3941d-595c-4efa-8387-39fe8ce535bc
Local pid:
pubs:676060
Source identifiers:
676060
Deposit date:
2017-02-07

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