Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 29, Issue 1-3, Pages 224-232Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2015.05.008
Keywords
Lattice hydrodynamic model; Density change rate difference; Delay feedback control; Stability analysis
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Funding
- National Natural Science Foundation of China [61304197]
- Scientific and Technological Talents of Chongqing [cstc2014kjrc-qnrc30002]
- Key Project of Application and Development of Chongqing [cstc2014yykfB40001]
- Nature Science Funds of Education Committee of Chongqing [KJ130506]
- Doctoral Start-up Funds of Chongqing University of Posts and Telecommunications, China [A2012-26]
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This study proposes a control strategy of vehicular traffic based on the lattice hydrodynamic model by taking the difference of density change rate as a feedback signal. In particular, a delay feedback control scheme is designed based on Nagatani's lattice model considering the effects of density change rate difference under the open boundary condition. Stability analysis of the lattice hydrodynamic model with the control signal is performed using the small gains theorem to obtain the stability condition. Results from numerical experiments including the single perturbation and multiple perturbations illustrate that the proposed control strategy can suppress traffic jam effectively and make the vehicular traffic flow to move into a comparatively homogeneous state. (C) 2015 Elsevier B.V. All rights reserved.
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