A double velocity control method for a discrete-time cooperative driving system with varying time-delay

Abstract A new double velocity controlled discrete-time cooperative driving system with varying time-delay is introduced in this paper on the basis of the car-following theory. The influence of the varying time-delayed information and the double velocity control method on traffic flow has been studied through theoretical analysis and numerical simulation. The theoretical analysis is conducted with the discrete-time Lyapunov stability theorem and a sufficient condition to suppress traffic congestion is given by linear matrix inequality. Through simulation, the traffic flow evolution characteristics under different varying time-delay and control signals are shown more intuitively. The results reveal that the level of traffic congestion can be aggravated if the traffic information is not obtained timely. Also it is shown that the double velocity control method can effectively reduce traffic congestion with respect to varying time-delay.