title: Stabilization strategies of a general nonlinear car-following model with varying reaction-time delay of the drivers.
abstract: In this paper, the stabilization strategies of a general nonlinear car-following model with reaction-time delay of the drivers are investigated. The reaction-time delay of the driver is time varying and bounded. By using the Lyapunov stability theory, the sufficient condition for the existence of the state feedback control strategy for the stability of the car-following model is given in the form of linear matrix inequality, under which the traffic jam can be well suppressed with respect to the varying reaction-time delay. Moreover, by considering the external disturbance for the running cars, the robust state feedback control strategy is designed, which ensures robust stability and a smaller prescribed H∞ disturbance attenuation level for the traffic flow. Numerical examples are given to illustrate the effectiveness of the proposed methods.
authors.affiliation: State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China. Electronic address: shkli@bjtu.edu.cn.
authors.forename: Shukai
authors.initials: S
authors.lastname: Li
authors.affiliation: State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China.
authors.forename: Lixing
authors.initials: L
authors.lastname: Yang
authors.affiliation: State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China.
authors.forename: Ziyou
authors.initials: Z
authors.lastname: Gao
authors.affiliation: State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China.
authors.forename: Keping
authors.initials: K
authors.lastname: Li
mesh_terms: D001334:Automobile Driving; D001336:Automobiles; D003198:Computer Simulation; D006801:Humans; D008328:Man-Machine Systems; D008954:Models, Biological; D017711:Nonlinear Dynamics; D011930:Reaction Time / Q000502:physiology*
keywords: Car-following model; Reaction-time delay; Robust stability; State feedback control