Towards velocity turnpikes in optimal control of mechanical systems
The paper proposes first steps towards the formalization and characterization of time-varying turnpikes in optimal control of mechanical systems. We propose the concepts of velocity steady states, which can be considered as partial steady states, and hyperbolic velocity turnpike properties for analy...
| Main Authors: | , , , |
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| Format: | Conference item |
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Elsevier
2019
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| _version_ | 1797059672368218112 |
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| author | Faulwasser, T Flaßkamp, K Ober-Blobaum, S Worthmann, K |
| author_facet | Faulwasser, T Flaßkamp, K Ober-Blobaum, S Worthmann, K |
| author_sort | Faulwasser, T |
| collection | OXFORD |
| description | The paper proposes first steps towards the formalization and characterization of time-varying turnpikes in optimal control of mechanical systems. We propose the concepts of velocity steady states, which can be considered as partial steady states, and hyperbolic velocity turnpike properties for analysis and control. We show for a specific example that, for all finite horizons, both the (essential part of the) optimal solution and the orbit of the time-varying turnpike correspond to (optimal) trim solutions. Hereby, the present paper appears to be the first to combine the concepts of trim primitives and time-varying turnpike properties. |
| first_indexed | 2024-03-06T20:07:33Z |
| format | Conference item |
| id | oxford-uuid:29699b05-5d6b-4213-a42f-d0734983f498 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:07:33Z |
| publishDate | 2019 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:29699b05-5d6b-4213-a42f-d0734983f4982022-03-26T12:18:56ZTowards velocity turnpikes in optimal control of mechanical systemsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:29699b05-5d6b-4213-a42f-d0734983f498Symplectic Elements at OxfordElsevier2019Faulwasser, TFlaßkamp, KOber-Blobaum, SWorthmann, KThe paper proposes first steps towards the formalization and characterization of time-varying turnpikes in optimal control of mechanical systems. We propose the concepts of velocity steady states, which can be considered as partial steady states, and hyperbolic velocity turnpike properties for analysis and control. We show for a specific example that, for all finite horizons, both the (essential part of the) optimal solution and the orbit of the time-varying turnpike correspond to (optimal) trim solutions. Hereby, the present paper appears to be the first to combine the concepts of trim primitives and time-varying turnpike properties. |
| spellingShingle | Faulwasser, T Flaßkamp, K Ober-Blobaum, S Worthmann, K Towards velocity turnpikes in optimal control of mechanical systems |
| title | Towards velocity turnpikes in optimal control of mechanical systems |
| title_full | Towards velocity turnpikes in optimal control of mechanical systems |
| title_fullStr | Towards velocity turnpikes in optimal control of mechanical systems |
| title_full_unstemmed | Towards velocity turnpikes in optimal control of mechanical systems |
| title_short | Towards velocity turnpikes in optimal control of mechanical systems |
| title_sort | towards velocity turnpikes in optimal control of mechanical systems |
| work_keys_str_mv | AT faulwassert towardsvelocityturnpikesinoptimalcontrolofmechanicalsystems AT flaßkampk towardsvelocityturnpikesinoptimalcontrolofmechanicalsystems AT oberblobaums towardsvelocityturnpikesinoptimalcontrolofmechanicalsystems AT worthmannk towardsvelocityturnpikesinoptimalcontrolofmechanicalsystems |