Optimal Control of Several Motion Models
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866912191229198336 |
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| author | Cao, Tan H. Chapagain, Nilson Lee, Haejoon Thi, Phung Ngoc Thieu, Nguyen Nang |
| author_facet | Cao, Tan H. Chapagain, Nilson Lee, Haejoon Thi, Phung Ngoc Thieu, Nguyen Nang |
| contents | This paper is devoted to the study of the dynamic optimization of several controlled crowd motion models in the general planar settings, which is an application of a class of optimal control problems involving a general nonconvex sweeping process with perturbations. A set of necessary optimality conditions for such optimal control problems involving the crowd motion models with multiple agents and obstacles is obtained and analyzed. Several effective algorithms based on such necessary optimality conditions are proposed and various nontrivial illustrative examples together with their simulations are also presented. The implementation of all the considered motion models can be found via the link: https://github.com/tancao1128/Optimal_Control_of_Several_Motion_Models with the instruction and demonstration video uploaded at https://www.youtube.com/watch?v=B8DQ0wvCtIQ. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_00260 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Optimal Control of Several Motion Models Cao, Tan H. Chapagain, Nilson Lee, Haejoon Thi, Phung Ngoc Thieu, Nguyen Nang Optimization and Control 49J52, 49J53, 49K24, 49M25, 90C30 This paper is devoted to the study of the dynamic optimization of several controlled crowd motion models in the general planar settings, which is an application of a class of optimal control problems involving a general nonconvex sweeping process with perturbations. A set of necessary optimality conditions for such optimal control problems involving the crowd motion models with multiple agents and obstacles is obtained and analyzed. Several effective algorithms based on such necessary optimality conditions are proposed and various nontrivial illustrative examples together with their simulations are also presented. The implementation of all the considered motion models can be found via the link: https://github.com/tancao1128/Optimal_Control_of_Several_Motion_Models with the instruction and demonstration video uploaded at https://www.youtube.com/watch?v=B8DQ0wvCtIQ. |
| title | Optimal Control of Several Motion Models |
| topic | Optimization and Control 49J52, 49J53, 49K24, 49M25, 90C30 |
| url | https://arxiv.org/abs/2205.00260 |