A Framework for Approximating Perturbed Optimal Control Problems
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908291109486592 |
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| author | Link, Riley Ebbighausen, Ethan |
| author_facet | Link, Riley Ebbighausen, Ethan |
| contents | We consider trajectory optimal control problems in which parameter uncertainty limits the applicability of control trajectories computed prior to travel. Hence, efficient trajectory adjustment is needed to ensure successful travel. However, it is often prohibitive or impossible to recalculate the optimal control in-transit due to strict time constraints or limited onboard computing resources. Thus, we propose a framework for quick and accurate trajectory approximations by using post-optimality sensitivity information. This allows the reduction of uncertain parameter space and an instantaneous approximation of the new optimal controller while using sensitivity data computed and stored pretransit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Framework for Approximating Perturbed Optimal Control Problems Link, Riley Ebbighausen, Ethan Optimization and Control Numerical Analysis We consider trajectory optimal control problems in which parameter uncertainty limits the applicability of control trajectories computed prior to travel. Hence, efficient trajectory adjustment is needed to ensure successful travel. However, it is often prohibitive or impossible to recalculate the optimal control in-transit due to strict time constraints or limited onboard computing resources. Thus, we propose a framework for quick and accurate trajectory approximations by using post-optimality sensitivity information. This allows the reduction of uncertain parameter space and an instantaneous approximation of the new optimal controller while using sensitivity data computed and stored pretransit. |
| title | A Framework for Approximating Perturbed Optimal Control Problems |
| topic | Optimization and Control Numerical Analysis |
| url | https://arxiv.org/abs/2408.09546 |