基于李雅普诺夫范函法理论,选取适当的流一密关系式,对一致拥挤快速路的鲁棒稳定性进行分析研究,并得到交通流保持稳定的充分条件和状态反馈控制器的设计方法。试验结果表明:该方法有效、实用,能使一致拥挤的快速路趋于稳定的自由流。
Based on the Lyapunov functional method and selecting appropriate flow-density function, the robust stability about uniformly congested freeway is analyzed. Then a sufficient condition to maintain a stable traffic flow is obtained and the state feedback controller is presented. The simulate example shows that the method is effective, applicable and bring the uniformly congested freeway to a stable free flow.