Optimal velocity model with consideration of the lateral effect and its feedback control research

ABSTRACT

In this paper, a car-following model with the consideration of lateral effect is constructed. An improved control signal with considering more comprehensive information is introduced according to the feedback control theory. The stability conditions with control signal or not are derived. Numerical simulations are carried out to illustrate the advantage of the modified model with and without the control signal, and the results are consistent with the analytical ones.

Keywords:

• Car-following model
• lateral effect
• feedback control method

Acknowledgements

Supported by the National Natural Science Foundation of China (Grant Nos. 71571107, 11372166), the Scientific Research Fund of Zhejiang Provincial, China (Grant Nos. LY15A020007, LY15E080013), the Natural Science Foundation of Ningbo (Grant Nos. 2014A610028, 2014A610022), and the K.C. Wong Magna Fund in Ningbo University, China.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Supported by the National Natural Science Foundation of China [grant number 71571107], [grant number 11372166]; the Scientific Research Fund of Zhejiang Provincial, China [grant number LY15A020007], [grant number LY15E080013]; the Natural Science Foundation of Ningbo [grant number 2014A610030], [grant number 2014A610022]; the K.C. Wong Magna Fund in Ningbo University, China.