A Novel Switched Control Scheme for the Mixed Road in the Lattice Hydrodynamic Model
Based on the common existence of the mixed road, a switched controller with consideration of the difference between estimation optimal and current flux (EOCFD) is presented in the lattice hydrodynamic model of traffic flow. Based on the Hurwitz criteria and the <inline-formula> <tex-math no...
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9547308/ |
| _version_ | 1818589327497625600 |
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| author | Jin Wan Min Zhao |
| author_facet | Jin Wan Min Zhao |
| author_sort | Jin Wan |
| collection | DOAJ |
| description | Based on the common existence of the mixed road, a switched controller with consideration of the difference between estimation optimal and current flux (EOCFD) is presented in the lattice hydrodynamic model of traffic flow. Based on the Hurwitz criteria and the <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula>-norm, stability conditions for the curved road and straight road scenarios are obtained with the transfer functions <inline-formula> <tex-math notation="LaTeX">$G_{0}$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$G_{1}$ </tex-math></inline-formula> respectively. By analyzing the Bode-plot of transfer functions <inline-formula> <tex-math notation="LaTeX">$G_{0}$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$G_{1}$ </tex-math></inline-formula>, stability analysis is performed with the feedback gain <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>, the radian <inline-formula> <tex-math notation="LaTeX">$\theta _{j}$ </tex-math></inline-formula> and the curvature radius <inline-formula> <tex-math notation="LaTeX">$R$ </tex-math></inline-formula>. These theoretical results indicate that the switched control scheme prompts the traffic flow to be more stable in both curved and straight roads. Compared with Cheng’s model, numerical simulations with multiple perturbations confirm that the switched control scheme can further suppress the traffic congestion with a lower feedback gain on mixed road. |
| first_indexed | 2024-12-16T09:38:53Z |
| format | Article |
| id | doaj.art-ed9f6344311348a09407276a65193570 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-16T09:38:53Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-ed9f6344311348a09407276a651935702022-12-21T22:36:21ZengIEEEIEEE Access2169-35362021-01-01913222513223210.1109/ACCESS.2021.31152369547308A Novel Switched Control Scheme for the Mixed Road in the Lattice Hydrodynamic ModelJin Wan0https://orcid.org/0000-0001-9767-9360Min Zhao1https://orcid.org/0000-0002-3626-3975School of Science, Nantong University, Jiangsu, ChinaSchool of Science, Nantong University, Jiangsu, ChinaBased on the common existence of the mixed road, a switched controller with consideration of the difference between estimation optimal and current flux (EOCFD) is presented in the lattice hydrodynamic model of traffic flow. Based on the Hurwitz criteria and the <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula>-norm, stability conditions for the curved road and straight road scenarios are obtained with the transfer functions <inline-formula> <tex-math notation="LaTeX">$G_{0}$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$G_{1}$ </tex-math></inline-formula> respectively. By analyzing the Bode-plot of transfer functions <inline-formula> <tex-math notation="LaTeX">$G_{0}$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$G_{1}$ </tex-math></inline-formula>, stability analysis is performed with the feedback gain <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>, the radian <inline-formula> <tex-math notation="LaTeX">$\theta _{j}$ </tex-math></inline-formula> and the curvature radius <inline-formula> <tex-math notation="LaTeX">$R$ </tex-math></inline-formula>. These theoretical results indicate that the switched control scheme prompts the traffic flow to be more stable in both curved and straight roads. Compared with Cheng’s model, numerical simulations with multiple perturbations confirm that the switched control scheme can further suppress the traffic congestion with a lower feedback gain on mixed road.https://ieeexplore.ieee.org/document/9547308/Switched controlmixed roadlattice hydrodynamic modeltraffic flow |
| spellingShingle | Jin Wan Min Zhao A Novel Switched Control Scheme for the Mixed Road in the Lattice Hydrodynamic Model IEEE Access Switched control mixed road lattice hydrodynamic model traffic flow |
| title | A Novel Switched Control Scheme for the Mixed Road in the Lattice Hydrodynamic Model |
| title_full | A Novel Switched Control Scheme for the Mixed Road in the Lattice Hydrodynamic Model |
| title_fullStr | A Novel Switched Control Scheme for the Mixed Road in the Lattice Hydrodynamic Model |
| title_full_unstemmed | A Novel Switched Control Scheme for the Mixed Road in the Lattice Hydrodynamic Model |
| title_short | A Novel Switched Control Scheme for the Mixed Road in the Lattice Hydrodynamic Model |
| title_sort | novel switched control scheme for the mixed road in the lattice hydrodynamic model |
| topic | Switched control mixed road lattice hydrodynamic model traffic flow |
| url | https://ieeexplore.ieee.org/document/9547308/ |
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