Bifurcation control based on improved intelligent driver model considering stability and minimum gasoline consumption

Advanced driver assistance system (ADAS) plays an important role in the transition period before the full maturity of self-driving technology. In this paper, an intelligent driver model with multiple time delays (IDM-MTD) is established to describe the dynamic characteristics of vehicles equipped with ADAS. Moreover, a control term that considers the velocity difference between the current and historical moment is selected for assistance driving. A novel framework is proposed to determine control parameters in controlled IDM-MTD. The definite integral stability method (DISM) is integrated into the framework to constrain the range of parameters that make the system stable. In the control strategy design process, this paper places significant emphasis on the implementation of the DISM modification to effectively address redundant iteration steps by exploiting the characteristic of bifurcation. Through numerical simulation, a two-dimensional optimal parameter combination is found, which not only stabilizes traffic flow but also produces minimal gasoline consumption.