A state feedback control strategy of modern control theory is proposed to analyze the classical car-following system. From the point of view of control theory, the influence of changing two important states velocity and headway on the stability of the car-following system is analyzed. The stability conditions of the control parameters are obtained by the conditions for roots of characteristic polynomials and the small gain theorem in the control theory. A dynamical car-following model is derived by the state feedback control method. Simulation experiments are conducted to verify the state feedback control strategy on traffic flow stability by the new model under the conditions of open boundary and periodic boundary respectively. The simulation results show that with the increase of the influence coefficient, the stability of the traffic flow system is enhanced, and the simulation results are consistent with the theoretical analysis results.

提出了一种现代控制理论的状态反馈控制策略，以分析经典的汽车跟随系统。从控制理论的角度，分析了改变两个重要状态的速度和行进距离对跟随系统稳定性的影响。控制参数的稳定性条件是通过特征多项式的根条件和控制理论中的小增益定理得出的。通过状态反馈控制方法推导了动态的汽车跟随模型。通过仿真实验，验证了新模型分别在开放边界和周期性边界条件下对交通流稳定性的状态反馈控制策略。仿真结果表明，随着影响系数的增加，