- Title
- On finitely determined minimal robust positively invariant sets
- Creator
- Seron, Maria M.; Olaru, Sorin; Stoican, Florin; De Dona, Jose A.; Kofman, Ernesto J.
- Relation
- 2019 Australian and New Zealand Control Conference, ANZCC 2019. Proceedings of 2019 Australian and New Zealand Control Conference, ANZCC 2019 (Auckland, NZ 27-29 November, 2019) p. 157-162
- Publisher Link
- http://dx.doi.org/10.1109/ANZCC47194.2019.8945678
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2019
- Description
- For linear, time invariant stable systems with additive state disturbances that are bounded by polytopic sets, we establish connections between the minimal robust positively invariant set (mRPI) and ultimate-bound invariant (UBI) sets. We first identify cases for which the mRPI set is finitely determined. We then apply those cases to address the dual problem of finding (i) the A matrix of an LTI system, (ii) a disturbance set and (iii) a projection matrix, for which a given UBI set is a projection of the mRPI set associated with those three elements. Finally, these results are combined to iteratively compute converging outer approximations of the mRPI set associated with a given system via a sequence of sets that are projections of finitely determined mRPI sets in lifted spaces.
- Subject
- economic indicators; linear systems; robust control; polytopic sets
- Identifier
- http://hdl.handle.net/1959.13/1460335
- Identifier
- uon:45937
- Identifier
- ISBN:9781728117867
- Language
- eng
- Reviewed
- Hits: 733
- Visitors: 731
- Downloads: 0