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MPC for Sampled-Data Linear Systems: guaranteeing continuous-time positive invariance

Sopasakis, Pantelis and Patrinos, Panagiotis and Sarimveis, Haralambos MPC for Sampled-Data Linear Systems: guaranteeing continuous-time positive invariance. IEEE Transactions on Automatic Control , 59 (4). pp. 1088-1093. ISSN 0018-9286 (2014)

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Abstract

Model Predictive Controllers (MPC) designed for sampled-data systems can be shown to violate the constraints in continuous time. A reformulation of the initial problem will guarantee constraint satisfaction throughout the intersample period. Polytopic inclusions of the continuous trajectory are used in this paper to establish additional constraints leading to a linearly constrained quadratic optimization problem. Continuous time asymptotic stability and continuous-time positive invariance are proven for the reformulated problem.

Item Type: Article
Identification Number: 10.1109/TAC.2013.2285786
Uncontrolled Keywords: Continuous invariance; model predictive control; polytopic overapproximation; sampled data
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Research Area: Computer Science and Applications
Depositing User: Pantelis Sopasakis
Date Deposited: 25 Oct 2013 08:30
Last Modified: 16 Jun 2014 10:17
URI: http://eprints.imtlucca.it/id/eprint/1841

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