Abstract
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.
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