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MPC for Sampled-Data Linear Systems: Guaranteeing Constraint Satisfaction in Continuous-Time

delete2014-04-01
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PRE
AI
P
Pantelis Sopasakis *
P
Panagiotis Patrinos
H
Haralambos Sarimveis
DOI:10.1109/TAC.2013.2285786delete
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Abstract

Abstract

En 中文
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 technical note 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.
Keywords:
Continuous invariance
model predictive control
polytopic overapproximation
sampled data

Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

Organization

I
IMT School for Advanced Studies Lucca
Scholars:
676
Papers: 701
Citations: 693
N
National Technical University of Athens
Scholars:
9.7K
Papers: 9.5K
Citations: 8.2K