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Periodic Optimal Control, Dissipativity and MPC

Zanon, Mario and Grune, Lars and Diehl, Moritz Periodic Optimal Control, Dissipativity and MPC. IEEE Transactions on Automatic Control, 62 (6). pp. 2943-2949. ISSN 0018-9286 (2017)

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Recent research has established the importance of (strict) dissipativity for proving stability of economic MPC in the case of an optimal steady state. In many cases, though, steady-state operation is not economically optimal and periodic operation of the system yields a better performance. In this technical note, we propose ways of extending the notion of (strict) dissipativity for periodic systems. We prove that optimal P-periodic operation and MPC stability directly follow, similarly to the steady-state case, which can be seen as a special case of the proposed framework. Finally, we illustrate the theoretical results with several simple examples.

Item Type: Article
Identification Number: 10.1109/TAC.2016.2601881
Subjects: T Technology > T Technology (General)
Research Area: Computer Science and Applications
Depositing User: Mario Zanon
Date Deposited: 09 Mar 2018 14:09
Last Modified: 09 Mar 2018 14:09
URI: http://eprints.imtlucca.it/id/eprint/4006

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