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Oops! I cannot do it again: Testing for Recursive Feasibility in MPC
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2012 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 48, no 3, 550-555 p.Article in journal (Refereed) Published
Abstract [en]

One of the most fundamental problems in model predictive control (MPC) is the lack of guaranteed stability and feasibility. It is shown how Farkas Lemma in combination with bilevel programming and disjoint bilinear programming can be used to search for problematic initial states which lack recursive feasibility, thus invalidating a particular MPC controller. Alternatively, the method can be used to derive a certificate that the problem is recursively feasible. The results are initially derived for nominal linear MPC, and thereafter extended to the additive disturbance case.

Place, publisher, year, edition, pages
Elsevier, 2012. Vol. 48, no 3, 550-555 p.
Keyword [en]
Predictive control, Constrained control
National Category
Medical and Health Sciences Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-76622DOI: 10.1016/j.automatica.2011.12.003ISI: 000301830800012OAI: oai:DiVA.org:liu-76622DiVA: diva2:515434
Note

Funding Agencies|CENIIT at Linkoping University||

Available from: 2012-04-13 Created: 2012-04-13 Last updated: 2017-12-07

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Löfberg, Johan

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