Control of Time-Delay Vehicle Following Systems With Random Factors

SHI Ji-zhong; SONG Qian-kun; ZHANG Ji-ye; XU Xiao-hui

doi:10.3879/j.issn.1000-0887.2014.10.006

Volume 35 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 2014 > 35(10): 1115-1123

SHI Ji-zhong, SONG Qian-kun, ZHANG Ji-ye, XU Xiao-hui. Control of Time-Delay Vehicle Following Systems With Random Factors[J]. Applied Mathematics and Mechanics, 2014, 35(10): 1115-1123. doi: 10.3879/j.issn.1000-0887.2014.10.006

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Control of Time-Delay Vehicle Following Systems With Random Factors

doi: 10.3879/j.issn.1000-0887.2014.10.006

¹College of Engineering, Zhejiang Normal University, Jinhua, Zhejiang 321004, P.R.China;²School of Science, Chongqing Jiaotong University, Chongqing 400074, P.R.China;³State Key Laboratory of Traction Power(Southwest Jiaotong University), Chengdu 610031, P.R.China;⁴School of Transportation and Automotive Engineering, Xihua University, Chengdu 610039, P.R.China

Funds: The National Natural Science Foundation of China(11161013；11361017)

Received Date: 2014-04-27
Rev Recd Date: 2014-08-23
Publish Date: 2014-10-15

Abstract

Abstract

The time delays due to information transmission and vehicle dynamic response falling behind control instruction, and the random factors in vehicle dynamic system modeling were considered to build a time-delay stochastic vehicle following system. The stability and controller design of the system was studied. The stochastic dynamic model of the vehicle was built on the base of Ito stochastic differential equation. The controller for the system was designed with the sliding mode control method. According to the system stability criterion, the convergence region of the system control parameters was obtained. The numerical simulation results show that, in the proposed system, the acceleration, velocity and displacement of the following vehicles respectively approach the corresponding indices of the leading vehicle in a short time; the vehicle spacing error of the system converges pretty fast, returning to 0 within only 10 seconds.
- intelligent transportation,
- stochastic vehicle following system,
- vector Lyapunov function,
- time delay,
- sliding mode control

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References(15)

References

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