一种基于幂级数展开和最小二乘法的高速公路稳态速度-密度平衡关系式的辨识算法

Identification Algorithm of Expressway Steady-state Speed-density Equilibrium Relational Expression

提出了一种新的辨识Markos Papageorgiou提出的高速公路交通流模型中稳态速度-密度平衡关系式的算法。该算法分为两个步骤,第1步,利用幂级数的原理,将该关系式由非线性模型转换成线性模型;第2步,采用最小二乘法辨识线性模型,并在此基础上获得非线性模型的所有参数,从而达到辨识稳态速度-密度平衡关系式的目的。理论分析和仿真结果均表明,与传统的非线性辨识算法相比,该算法大大提高了模型辨识的运算速度,同时可以实现任意的辨识精度。

This paper proposes a novel identification algorithm for the expressway steady state speed-density equilibrium relational expression of the Markos Papageorgiou＇ s expressway traffic flow model. Two stages are involved.The first step is to turn this relational expression from nonlinear model to linear model using power series principle, then using the least squares method to identify the linear model and further get all parameters of the nonlinear model. So, the identification to the expressway steady-state speed-density equilibrium relational expression can be achieved. Both theory analysis and simulation research show that comparing conventional nonlinear identification algorithm, this algorithm greatly improves operating speed of model identification and can achieve arbitrary identification accuracy.