中文摘要：

针对模型不确定的城市路网系统,设计了使闭环系统渐近稳定的鲁棒预测状态反馈控制器.首先,将＂存储与向前＂路段线性模型扩展为城市路网拓扑模型.同时考虑实际情况中路况变化、测量误差等因素引起的饱和流量、车辆数的不确定性的影响,提出了具有不确定参数的城市路网系统模型.然后,采用线性矩阵不等式处理方法求解一个具有约束的凸优化问题,给出了状态反馈控制器设计方法.最后通过Matlab仿真验证了所提方法能有效缓解城市交通拥堵和优化信号灯.

英文摘要：

For urban road network system with model uncertainty,a robust predictive state feedback controller is designed to ensure the closed-loop system asymptotically stable.Firstly,the store-andforward segment linear model is extended to the urban road network topology model.Considering the influence of saturation flow rate and vehicle number uncertainty caused by the road conditions change and the error of measurement,the urban road network system model with parameters uncertainty is proposed.Furthermore,a convex optimization problem with constraints is solved by linear matrix inequality（LMI）treatment to design the state feedback controller.Finally,the effectiveness of the proposed method to alleviate the urban traffic congestion and optimize the signal lights is demonstrated by Matlab simulation.