CAJ | 학술논문

对交通流跟驰模型施以拉氏变换（或z变换），转换为控制系统传递函数形式，进而通过分析传递函数来探讨交通流系统稳定性及控制方法，这是交通流稳定性理论研究重要方向之一。为进一步挖掘分析稳定交通流系统在稳定状态下动态特性，基于最优速度跟驰模型，以控制理论时域分析方法，研究了交通流系统在欠阻尼和过阻尼两种情况下阶跃响应动态特性，并以仿真算例验证了理论正确性。过阻尼较欠阻尼交通流系统稳定性好，但调节时间更长，若将交通事件抽象为阶跃响应，通过分析交通流系统调节时间、超调量等参数，可为计算交通事件持续时间作参考，进而制定合理有效的交通管理措施。
대교통류근치모형시이랍씨변환（혹z변환），전환위공제계통전체함수형식，진이통과분석전체함수래탐토교통류계통은정성급공제방법，저시교통류은정성이론연구중요방향지일。위진일보알굴분석은정교통류계통재은정상태하동태특성，기우최우속도근치모형，이공제이론시역분석방법，연구료교통류계통재흠조니화과조니량충정황하계약향응동태특성，병이방진산례험증료이론정학성。과조니교흠조니교통류계통은정성호，단조절시간경장，약장교통사건추상위계약향응，통과분석교통류계통조절시간、초조량등삼수，가위계산교통사건지속시간작삼고，진이제정합리유효적교통관리조시。
Investigating traffic flow system’s stability by converting traffic car-following model is an crucial way to control system transfer function through Laplace transformation or z transformation. The traffic flow system stability problem is transformed to the control system stability problem. On further consideration, steady control system has different dynamical properties under different damped ratios. To investigate the characteristics of steady traffic flow system, with optimal velocity model, this paper studies its step response dynamical performance index of underdamped and overdamped conditions based on control theory time-domain analysis method. The simulation results show that the overdamped ratio system is more stable than underdamped ratio system, but has longer settling time than the latter. As far as traffic flow system is concerned, step response can be regarded as the model of some kind unexpected traffic incident, therefore such parameters as delay time, rise time, peak time and settling time can be used as reference time range for dealing with traffic events.