Stabilization strategies of a general nonlinear car-following model with varying reaction-time delay of the drivers.
Stabilization strategies of a general nonlinear car-following model with varying reaction-time delay of the drivers.
复制标题
DOI：
10.1016/j.isatra.2014.08.017
复制
发表时间：
2014-11
期刊：
影响因子：
7.3
通讯作者：
Shukai Li;Lixing Yang;Ziyou Gao;Keping Li
中科院分区：
文献类型：
--
作者：
Shukai Li;Lixing Yang;Ziyou Gao;Keping Li
研究了一类具有驾驶员反应时滞的一般非线性车辆跟随模型的镇定策略。驱动器的反应时间延迟是时变的，并且是有界的。利用Lyapunov稳定性理论，以线性矩阵不等式的形式给出了车辆跟随模型稳定性的状态反馈控制策略存在的充分条件，在此条件下，相对于变化的反应时间延迟，交通阻塞可以得到很好的抑制。此外，考虑运行车辆的外部干扰，设计了鲁棒状态反馈控制策略，保证了交通流的鲁棒稳定性和较小的规定H∞干扰衰减水平。数值算例说明了所提方法的有效性。
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.