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A Lyapunov function for periodic economic optimizing Model Predictive Control

Zanon, Mario and Gros, Sebastien and Diehl, Moritz A Lyapunov function for periodic economic optimizing Model Predictive Control. In: 52nd Conference on Decision and Control, December 10-13, 2013, Florence, Italy pp. 5107-5112. ISSN 0191-2216. ISBN 978-1-4673-5717-3. (2013)

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Abstract

Model Predictive Control (MPC) schemes are commonly using reference-tracking cost functions, which have attractive properties in terms of stability and numerical implementation. However, many control applications have clear economic objectives that can be used directly as the NMPC cost function. Such NMPC schemes are labelled Economic NMPC. Unfortunately, Economic NMPC schemes suffer from some drawbacks. In particular, stability results for economic NMPC are still very sparse. A Lyapunov function for Economic NMPC was first proposed in [1] for problems having a steady-state optimum. The present paper develops a further generalization and clarification of these results for periodic systems.

Item Type: Conference or Workshop Item (Paper)
Identification Number: 10.1109/CDC.2013.6760691
Subjects: T Technology > T Technology (General)
Research Area: Computer Science and Applications
Depositing User: Mario Zanon
Date Deposited: 12 Mar 2018 10:47
Last Modified: 12 Mar 2018 10:47
URI: http://eprints.imtlucca.it/id/eprint/4026

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