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A linear programming approach to large-scale linear optimal control problems

Moreno Banos, J.C. , Papageorgiou Markos

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URI: http://purl.tuc.gr/dl/dias/A3B20C59-844D-44F5-9B4C-EB484E0549FF
Έτος 1995
Τύπος Δημοσίευση σε Περιοδικό με Κριτές
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Βιβλιογραφική Αναφορά J.C. Moreno Banos, M. Papageorgiou, "A linear programming approach to large-scale linear optimal control problems," Automatic Control, IEEE Transactions on, vol.40, no. 5, pp. 971 - 977, 1995, doi: 10.1109/9.384243 https://doi.org/10.1109/9.384243
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Περίληψη

This paper considers the solution of large-scale linear optimal control problems subject to linear control and state constraints by application of a linear programming (LP-) based methodology. The proposed algorithm is based on a particular LP-method that is suitably modified and adapted to the structure of the considered discrete-time dynamic problem to keep the computation time low and efficiently store the arising large, but sparse, matrices. The efficiency of the approach is demonstrated via a practical example arising in the field of traffic control in data-communication networks. The algorithm is shown to solve problems involving several thousands of variables in few seconds on a workstation thus enabling real-time optimal control for a number of potential practical applications

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