Finite-Time Control of One Dimensional Crowd Evacuation System
This paper pertains to the study of finite-time control of one dimensional crowd evacuation system. Benefiting from the research of fluid dynamics and vehicle traffic, a one dimensional crowd evacuation system is constructed, whose density-velocity relationship is represented by a diffusion model. I...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Advanced Transportation |
| Online Access: | http://dx.doi.org/10.1155/2019/6597360 |
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| _version_ | 1832568094632968192 |
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| author | Wei Qin Baotong Cui Zhengxian Jiang |
| author_facet | Wei Qin Baotong Cui Zhengxian Jiang |
| author_sort | Wei Qin |
| collection | DOAJ |
| description | This paper pertains to the study of finite-time control of one dimensional crowd evacuation system. Benefiting from the research of fluid dynamics and vehicle traffic, a one dimensional crowd evacuation system is constructed, whose density-velocity relationship is represented by a diffusion model. In order to deal with the nondirectionality of crowd movement, the free flow speed is chosen as a control variable. Since the control variable is included in a partial derivative, it increases the difficulty of designing the controller. In this paper, finite-time controller is designed, which not only guarantees the effective evacuation, but also obtains the estimation of evacuation time. Then, finite-time tracking problem is solved, which makes the density converge to a given density. Finally, numerical examples illustrate the effectiveness of the controllers. |
| format | Article |
| id | doaj-art-a3d127c9ebff444780dce860b751e8c4 |
| institution | Kabale University |
| issn | 0197-6729 2042-3195 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Advanced Transportation |
| spelling | doaj-art-a3d127c9ebff444780dce860b751e8c42025-02-03T00:59:44ZengWileyJournal of Advanced Transportation0197-67292042-31952019-01-01201910.1155/2019/65973606597360Finite-Time Control of One Dimensional Crowd Evacuation SystemWei Qin0Baotong Cui1Zhengxian Jiang2Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, ChinaKey Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, ChinaSchool of Science, Jiangnan University, Wuxi 214122, ChinaThis paper pertains to the study of finite-time control of one dimensional crowd evacuation system. Benefiting from the research of fluid dynamics and vehicle traffic, a one dimensional crowd evacuation system is constructed, whose density-velocity relationship is represented by a diffusion model. In order to deal with the nondirectionality of crowd movement, the free flow speed is chosen as a control variable. Since the control variable is included in a partial derivative, it increases the difficulty of designing the controller. In this paper, finite-time controller is designed, which not only guarantees the effective evacuation, but also obtains the estimation of evacuation time. Then, finite-time tracking problem is solved, which makes the density converge to a given density. Finally, numerical examples illustrate the effectiveness of the controllers.http://dx.doi.org/10.1155/2019/6597360 |
| spellingShingle | Wei Qin Baotong Cui Zhengxian Jiang Finite-Time Control of One Dimensional Crowd Evacuation System Journal of Advanced Transportation |
| title | Finite-Time Control of One Dimensional Crowd Evacuation System |
| title_full | Finite-Time Control of One Dimensional Crowd Evacuation System |
| title_fullStr | Finite-Time Control of One Dimensional Crowd Evacuation System |
| title_full_unstemmed | Finite-Time Control of One Dimensional Crowd Evacuation System |
| title_short | Finite-Time Control of One Dimensional Crowd Evacuation System |
| title_sort | finite time control of one dimensional crowd evacuation system |
| url | http://dx.doi.org/10.1155/2019/6597360 |
| work_keys_str_mv | AT weiqin finitetimecontrolofonedimensionalcrowdevacuationsystem AT baotongcui finitetimecontrolofonedimensionalcrowdevacuationsystem AT zhengxianjiang finitetimecontrolofonedimensionalcrowdevacuationsystem |