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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2403.07811 |
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| _version_ | 1866917611754749952 |
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| author | Vila, Eduardo M. G. Kerrigan, Eric C. Bruce, Paul |
| author_facet | Vila, Eduardo M. G. Kerrigan, Eric C. Bruce, Paul |
| contents | We propose a novel early-terminating mesh refinement strategy using an integrated residual method to solve dynamic feasibility problems. As a generalization of direct collocation, the integrated residual method is used to approximate an infinite-dimensional problem into a sequence of finite-dimensional optimization subproblems. Each subproblem in the sequence is a finer approximation of the previous. It is shown that these subproblems need not be solved to a high precision; instead, an early termination procedure can determine when mesh refinement should be performed. The new refinement strategy, applied to an inverted pendulum swing-up problem, outperforms a conventional refinement method by up to a factor of three in function evaluations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07811 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mesh Refinement with Early Termination for Dynamic Feasibility Problems Vila, Eduardo M. G. Kerrigan, Eric C. Bruce, Paul Optimization and Control Systems and Control We propose a novel early-terminating mesh refinement strategy using an integrated residual method to solve dynamic feasibility problems. As a generalization of direct collocation, the integrated residual method is used to approximate an infinite-dimensional problem into a sequence of finite-dimensional optimization subproblems. Each subproblem in the sequence is a finer approximation of the previous. It is shown that these subproblems need not be solved to a high precision; instead, an early termination procedure can determine when mesh refinement should be performed. The new refinement strategy, applied to an inverted pendulum swing-up problem, outperforms a conventional refinement method by up to a factor of three in function evaluations. |
| title | Mesh Refinement with Early Termination for Dynamic Feasibility Problems |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2403.07811 |