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.

高级驾驶辅助系统（ADAS）在自动驾驶技术完全成熟之前的过渡时期发挥着重要作用。本文建立了多时间延迟智能驾驶员模型（IDM-MTD）来描述配备ADAS的车辆的动态特性。此外，选择考虑当前时刻与历史时刻速度差的控制项进行辅助驾驶。提出了一种新颖的框架来确定受控 IDM-MTD 中的控制参数。框架中集成了定积分稳定性方法（DISM），以约束使系统稳定的参数范围。在控制策略设计过程中，本文重点强调了 DISM 修改的实现，以利用分叉的特性有效解决冗余迭代步骤。通过数值模拟，找到了二维最优参数组合，既能稳定交通流，又能产生最小的汽油消耗。