On stability and non-averaged performance of economic MPC with terminal conditions for optimal periodic operation
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866917408298500096 |
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| author | Mair, Jonas Schwenkel, Lukas Müller, Matthias A. Allgöwer, Frank |
| author_facet | Mair, Jonas Schwenkel, Lukas Müller, Matthias A. Allgöwer, Frank |
| contents | Operation at steady state is often not optimal when optimizing over an economic cost objective. In many cases, periodic operation yields better performance. Therefore, we derive asymptotic stability guarantees of an economic model predictive control scheme with terminal conditions for systems with optimal periodic operation for a more general setup than existing methods can handle. Moreover, we establish a non-averaged closed-loop performance bound by defining the closed-loop cost via a Cesàro summation instead of ordinary summation. Such a non-averaged performance bound provides new insights for systems with periodic optimal operation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12840 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On stability and non-averaged performance of economic MPC with terminal conditions for optimal periodic operation Mair, Jonas Schwenkel, Lukas Müller, Matthias A. Allgöwer, Frank Optimization and Control Systems and Control Operation at steady state is often not optimal when optimizing over an economic cost objective. In many cases, periodic operation yields better performance. Therefore, we derive asymptotic stability guarantees of an economic model predictive control scheme with terminal conditions for systems with optimal periodic operation for a more general setup than existing methods can handle. Moreover, we establish a non-averaged closed-loop performance bound by defining the closed-loop cost via a Cesàro summation instead of ordinary summation. Such a non-averaged performance bound provides new insights for systems with periodic optimal operation. |
| title | On stability and non-averaged performance of economic MPC with terminal conditions for optimal periodic operation |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2604.12840 |