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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Abstract
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: | https://doi.org/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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