CN108538065B - A Coordinated Control Method for Urban Arterial Roads Based on Adaptive Iterative Learning Control - Google Patents

A Coordinated Control Method for Urban Arterial Roads Based on Adaptive Iterative Learning Control Download PDF

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CN108538065B
CN108538065B CN201810374660.4A CN201810374660A CN108538065B CN 108538065 B CN108538065 B CN 108538065B CN 201810374660 A CN201810374660 A CN 201810374660A CN 108538065 B CN108538065 B CN 108538065B
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沈国江
陈文峰
杨曦
刘志
朱李楠
刘端阳
阮中远
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Zhejiang University of Technology ZJUT
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Abstract

一种基于自适应迭代学习控制的城市主干道协调控制方法包括:a.确定关键交叉口:对于被控主干道,将其中交通需求最大的交叉口确定为关键交叉口;b.初始化公共信号周期,绿信比,相位差;c.优化关键交叉口绿信比;d.优化非关键交叉口绿信比;e.循环,每隔3~5个信号周期,重复步骤c和d。本发明以交叉口为控制对象,利用上下游交叉口的流量相关性对交叉口进行两两协调,根据实时的道路流量情况,通过迭代学习控制方法(ILC)计算信号灯各相位的绿灯时间,最后通过去伪策略来实时整定闭环控制器参数。本发明降低了主干道控制的实时计算量,提高了主干道的通行效率,效果优于传统的定时控制方案,为城市主干道协调控制提供了一种有效方法。

Figure 201810374660

A coordinated control method for urban arterial roads based on adaptive iterative learning control includes: a. determining key intersections: for the controlled arterial roads, determining the intersection with the greatest traffic demand as the key intersection; b. initializing the public signal cycle , green-signal ratio, phase difference; c. optimize the green-signal ratio of key intersections; d. optimize the green-signal ratio of non-critical intersections; e. loop, repeat steps c and d every 3 to 5 signal periods. The invention takes the intersection as the control object, uses the flow correlation of the upstream and downstream intersections to coordinate the intersections, and calculates the green light time of each phase of the signal light through the iterative learning control method (ILC) according to the real-time road flow conditions. The closed-loop controller parameters are tuned in real time through a de-pseudo strategy. The invention reduces the real-time calculation amount of the main road control, improves the traffic efficiency of the main road, and the effect is better than the traditional timing control scheme, and provides an effective method for the coordinated control of the urban main road.

Figure 201810374660

Description

一种基于自适应迭代学习控制的城市主干道协调控制方法A Coordinated Control Method for Urban Arterial Roads Based on Adaptive Iterative Learning Control

技术领域technical field

本发明涉及交通信号控制技术领域,尤其是涉及一种基于自适应迭代学习控制的城市主干道协调控制方法。The invention relates to the technical field of traffic signal control, in particular to an urban arterial road coordinated control method based on adaptive iterative learning control.

背景技术Background technique

随着我国社会经济的发展和人民生活水平的提高,越来越多的汽车进入了普通家庭,交通事故、交通拥堵、环境污染和能源消耗等问题日趋严重,旅行时间、旅行安全、环境质量和生活质量都受到了交通状况的制约。With the development of my country's social economy and the improvement of people's living standards, more and more cars have entered ordinary households, and problems such as traffic accidents, traffic congestion, environmental pollution and energy consumption are becoming more and more serious. Travel time, travel safety, environmental quality and Quality of life is constrained by traffic conditions.

城市道路交通信号控制是现代城市交通管理中极其重要的一个方面,其管理与控制水平的优劣将直接影响城市道路交通运行的效果。在城市路网中,主干道承受着巨大的交通负荷,因此,实现良好的城市主干道交通信号控制是城市交通畅通化措施的重点。Urban road traffic signal control is an extremely important aspect of modern urban traffic management. The quality of its management and control level will directly affect the effect of urban road traffic operation. In the urban road network, the main road bears a huge traffic load. Therefore, achieving good traffic signal control on the main road is the focus of urban traffic smoothing measures.

现代城市交通信号控制理论研究表明,实现城市主干道交通信号动态协调控制,特别是通过实现信号配时优化条件,调控交通流,并使其均匀分布在主干道中,将极大地提高路网的通行能力,改善交通主干道本身及周边道路的交通溢流现象,是城市交通高峰期交通信号控制的最佳选择。The research on modern urban traffic signal control theory shows that the realization of dynamic coordinated control of traffic signals on urban arterial roads, especially by realizing optimal conditions of signal timing, regulating traffic flow and making it evenly distributed in arterial roads, will greatly improve the road network. It is the best choice for traffic signal control in urban traffic peak hours, improving the traffic capacity of the main road itself and the traffic overflow phenomenon of the surrounding roads.

作为一种高效的城市交通协调控制方式,基于自适应迭代学习控制的城市主干道协调控制方法具有以下特点:1.保证主干道整体的车流均衡,从而降低主干道交叉口溢流的情况;2.交叉口绿灯使用效率更高,从而提高了主干道的通行能力;3.根据实时数据调整配时方案,能迅速应对交通需求的变化,提高了路网的稳定性;4.可使主干道承受更大的交通需求,从而降低了路网其余部分的压力,改善整个路网的交通状况。As an efficient urban traffic coordinated control method, the urban arterial road coordinated control method based on adaptive iterative learning control has the following characteristics: 1. Ensure the overall traffic balance of the arterial road, thereby reducing the overflow of the arterial road intersection; 2. .The green light at the intersection is more efficient, thereby improving the traffic capacity of the main road; 3. Adjusting the timing plan according to real-time data can quickly respond to changes in traffic demand and improve the stability of the road network; 4. It can make the main road Bear greater traffic demand, thereby reducing pressure on the rest of the road network and improving traffic conditions throughout the road network.

国外主干道交通信号协调控制方法已有研究成果,如:J.D.C.Little首先提出了MAXBAND算法,针对包括n个路口S1,...,Sn的城市主干道,给出一组优化的交通信号相位差,使尽可能多的机动车在设定的速度范围内能够一次不停的通过主干道。N.H.Gartner在MAXBAND方法的基础上提出了MULTIBAND,对许多重要特性都进行了改进,如清空时间的设定,左转车辆的控制,对干线中不同路段实现不同带宽等。但这些研究成果并未有效利用交通需求变化的日重复特性,且随着路网规模的扩大,计算量迅速上升。Foreign arterial road traffic signal coordination control methods have been researched, such as: J.D.C.Little first proposed the MAXBAND algorithm, which provides a set of optimized traffic signal phase differences for urban arterial roads including n intersections S1,...,Sn , so that as many motor vehicles as possible can pass through the main road without stopping within the set speed range. N.H.Gartner proposed MULTIBAND on the basis of the MAXBAND method, and improved many important features, such as the setting of clearing time, the control of left-turn vehicles, and the realization of different bandwidths for different sections of the trunk line. However, these research results do not effectively take advantage of the daily repetitive nature of traffic demand changes, and with the expansion of the road network, the amount of computation increases rapidly.

发明内容SUMMARY OF THE INVENTION

本发明要克服现有技术上述不足,提供一种基于自适应迭代学习控制的城市主干道协调控制的方法,从而降低主干道发生拥堵的几率,提高城市出行效率。The present invention overcomes the above shortcomings of the prior art and provides a method for coordinated control of urban arterial roads based on adaptive iterative learning control, thereby reducing the probability of congestion on arterial roads and improving urban travel efficiency.

本发明是一种基于自适应迭代学习控制的城市主干道协调控制的方法,用于一个包括若干连续相邻交叉口的城市道路交通区域,包括如下步骤:The present invention is a method for coordinated control of urban arterial roads based on adaptive iterative learning control, which is used in an urban road traffic area including several consecutive adjacent intersections, including the following steps:

a.确定关键交叉口:对于被控主干道,将其中交通需求最大的交叉口确定为关键交叉口。a. Identify key intersections: For the accused main road, identify the intersection with the greatest traffic demand as the key intersection.

b.初始化公共信号周期,绿信比,相位差:对于关键交叉口,根据Webster方法获得交叉口信号周期,并将其作为交叉口公共信号周期;各交叉口均采用四相位配时方案,分别按其相位流量比计算初始绿信比;同时利用路段长度除以路段平均速度计算主干道相邻交叉口之间的相位差。b. Initialize the public signal period, green signal ratio, and phase difference: for key intersections, obtain the intersection signal period according to the Webster method, and use it as the intersection public signal period; each intersection adopts a four-phase timing scheme, respectively Calculate the initial green-signal ratio according to its phase-to-flow ratio; at the same time, the phase difference between adjacent intersections of the main road is calculated by dividing the length of the road segment by the average speed of the road segment.

c.优化关键交叉口绿信比:根据实时交通数据,利用去伪控制方法确定迭代学习控制的闭环控制率,然后利用前次迭代的误差以及本次迭代的误差,使用开闭环迭代学习控制方法优化绿信比。c. Optimize the green-signal ratio of key intersections: According to the real-time traffic data, the closed-loop control rate of the iterative learning control is determined by the de-false control method, and then the open-closed-loop iterative learning control method is used by using the error of the previous iteration and the error of this iteration. Optimize the green-to-signal ratio.

d.优化非关键交叉口绿信比:从关键交叉口的相邻交叉口开始,两两协调,将上游交叉口作为主路口,下游交叉口作为从路口,进行主从协调控制设计,依次完成非关键交叉口的绿信比优化。d. Optimize the green-signal ratio of non-critical intersections: start from the adjacent intersections of key intersections, coordinate in pairs, take the upstream intersection as the main intersection and the downstream intersection as the slave intersection, carry out the master-slave coordinated control design, and complete in turn Green-signal ratio optimization for non-critical intersections.

e.循环,每隔3~5个信号周期,重复步骤c和d。e. Cycle, repeat steps c and d every 3 to 5 signal cycles.

本发明作为一种城市主干道协调控制方法,步骤c、d的优化目标是在有限的控制时间[0,K]内,使关键交叉口各相位关键车流的道路占有率

Figure GDA0001732447300000021
趋向于理想占有率od,并使非关键交叉口主干道方向上车流的道路占有率趋向于主路口对应流向的道路占有率,即
Figure GDA0001732447300000022
The present invention is used as a coordinated control method for urban arterial roads. The optimization goal of steps c and d is to make the road occupancy rate of the key traffic flow in each phase of the key intersection within the limited control time [0, K].
Figure GDA0001732447300000021
tends to the ideal occupancy rate o d , and makes the road occupancy rate of the traffic flow in the direction of the main road of the non-critical intersection tends to the road occupancy rate of the corresponding flow direction of the main intersection, namely
Figure GDA0001732447300000022

步骤c中,对绿信比优化的算法步骤如下:In step c, the algorithm steps for optimizing the green-to-signal ratio are as follows:

1)利用去伪策略确定迭代学习控制的闭环控制器1) Determine the closed-loop controller of iterative learning control using the pseudo-removal strategy

首先确定一个候选控制器参数集合

Figure GDA0001732447300000023
使得其中各参数对应的控制器均确保相应的迭代学习控制收敛。然后确定去伪策略中对于每一个候选参数对应控制器的虚拟参考的计算方法:First determine a set of candidate controller parameters
Figure GDA0001732447300000023
The controller corresponding to each parameter ensures the corresponding iterative learning control convergence. Then determine the calculation method of the virtual reference of the controller corresponding to each candidate parameter in the de-pseudo strategy:

Figure GDA0001732447300000031
Figure GDA0001732447300000031

最后确定每个候选控制器的性能指标:Finally determine the performance metrics of each candidate controller:

Figure GDA0001732447300000032
Figure GDA0001732447300000032

其中α和β为设定向量。从候选控制器参数集合中选取最大的

Figure GDA0001732447300000033
计算它对应控制器的虚拟参考
Figure GDA0001732447300000034
和性能指标
Figure GDA0001732447300000035
若该候选控制器满足性能指标,则该控制器为非伪控制器,加入控制系统,若不满足,则在剩余的候选控制器参数中选择最大的一个进行计算,直至有候选参数对应的控制器满足性能指标。where α and β are setting vectors. Pick the largest one from the set of candidate controller parameters
Figure GDA0001732447300000033
Calculate the virtual reference of its corresponding controller
Figure GDA0001732447300000034
and performance indicators
Figure GDA0001732447300000035
If the candidate controller satisfies the performance index, the controller is a non-pseudo controller and is added to the control system. If not, the largest one of the remaining candidate controller parameters is selected for calculation until there is a control corresponding to the candidate parameter. The device meets the performance specifications.

2)根据去伪策略得到的控制器进行关键交叉口绿灯时间的计算,其中迭代学习控制的学习律设定为:2) Calculate the green light time of the key intersection according to the controller obtained from the pseudo-removal strategy, where the learning law of the iterative learning control is set as:

Figure GDA0001732447300000036
Figure GDA0001732447300000036

其中un(k)为第n次迭代第k个采样周期的绿灯时间,en(k)为第n次迭代过程第k个采样时刻的误差,

Figure GDA0001732447300000037
为开环迭代学习控制部分,
Figure GDA0001732447300000038
为闭环迭代学习控制部分,
Figure GDA0001732447300000039
为闭环学习控制率,ko为开环学习控制率。where u n (k) is the green light time of the k-th sampling period of the n-th iteration, and e n (k) is the error of the k-th sampling time of the n-th iteration process,
Figure GDA0001732447300000037
For the open-loop iterative learning control part,
Figure GDA0001732447300000038
is the closed-loop iterative learning control part,
Figure GDA0001732447300000039
is the closed-loop learning control rate, and k o is the open-loop learning control rate.

针对城市交通问题愈发突出,而城市主干道作为城市交通的主动脉,交通负荷不断增大的现状,通过协调城市主干道的信号配时,合理利用现有的道路基础设施,降低拥堵发生的几率。本发明以交叉口为控制对象,利用上下游交叉口的流量相关性对交叉口进行两两协调,根据实时的道路流量情况,通过迭代学习控制方法(ILC)计算信号灯各相位的绿灯时间,最后通过去伪策略来实时整定闭环控制器参数。In view of the increasingly prominent urban traffic problems, and the current situation that urban arterial roads are the main artery of urban traffic, the traffic load is constantly increasing. By coordinating the signal timing of urban arterial roads, the existing road infrastructure can be reasonably utilized to reduce the occurrence of congestion. probability. The invention takes the intersection as the control object, uses the flow correlation of the upstream and downstream intersections to coordinate the intersections, and calculates the green light time of each phase of the signal light through the iterative learning control method (ILC) according to the real-time road flow conditions. The closed-loop controller parameters are tuned in real time through a de-pseudo strategy.

本发明的优点是:降低了主干道控制的实时计算量,提高了主干道的通行效率,效果优于传统的定时控制方案,为城市主干道协调控制提供了一种有效方法。The invention has the advantages that the real-time calculation amount of the main road control is reduced, the traffic efficiency of the main road is improved, the effect is better than the traditional timing control scheme, and an effective method is provided for the coordinated control of the urban main road.

附图说明Description of drawings

图1为使用本发明方法的城市某主干道部分路段示意图;1 is a schematic diagram of a part of a certain main road in a city using the method of the present invention;

具体实施方式Detailed ways

以下通过附图和实施例对本发明作进一步的说明。The present invention will be further described below through the accompanying drawings and embodiments.

如图1所示使用本发明方法的一个包括若干连续相邻交叉口的城市道路交通区域,共有3个交叉口,用自然数序列表示为{1,2,3},其中东西向道路为主干道,南北向道路为次干道或支路,东西向流量一般明显大于南北向。定义由西往东为主干道上行方向,由东往西为下行方向。各路口交通流相位划分如下:相位1为东西向直行和右转;相位2为东西向左转和右转;相位3为南北向直行和右转;相位4为南北向左转和右转。As shown in Fig. 1, an urban road traffic area including several consecutive adjacent intersections using the method of the present invention has a total of 3 intersections, which are represented as {1, 2, 3} by a sequence of natural numbers, in which the east-west road is the main road , the north-south roads are secondary roads or branch roads, and the east-west traffic is generally significantly larger than the north-south direction. Define the upward direction of the main road from west to east, and the downward direction from east to west. The phase division of traffic flow at each intersection is as follows: Phase 1 is east-west straight and right turn; phase 2 is east-west left and right turn; phase 3 is north-south straight and right turn; phase 4 is north-south left and right turn.

本发明的一种基于自适应迭代学习控制的城市主干道协调控制的方法,包括如下步骤:A method for coordinated control of urban arterial roads based on adaptive iterative learning control of the present invention includes the following steps:

a.确定关键交叉口:对于被控主干道,将其中交通需求最大的交叉口确定为关键交叉口。a. Identify key intersections: For the accused main road, identify the intersection with the greatest traffic demand as the key intersection.

b.初始化公共信号周期,绿信比,相位差:对于关键交叉口,根据Webster方法得到交叉口信号周期,并将其作为交叉口公共信号周期;各交叉口均采用四相位配时方案,分别按其相位流量比计算初始绿信比;同时利用路段长度除以路段平均速度计算主干道相邻交叉口之间的相位差。b. Initialize the public signal period, green signal ratio, and phase difference: For key intersections, obtain the intersection signal period according to the Webster method, and use it as the intersection public signal period; each intersection adopts a four-phase timing scheme, respectively. Calculate the initial green-signal ratio according to its phase-to-flow ratio; at the same time, the phase difference between adjacent intersections of the main road is calculated by dividing the length of the road segment by the average speed of the road segment.

c.优化关键交叉口绿信比:根据实时交通数据,利用去伪控制方法确定迭代学习控制的闭环控制率,然后利用前次迭代的误差以及本次迭代的误差,使用开闭环迭代学习控制方法优化绿信比。c. Optimize the green-signal ratio of key intersections: According to the real-time traffic data, the closed-loop control rate of the iterative learning control is determined by the de-false control method, and then the open-closed-loop iterative learning control method is used by using the error of the previous iteration and the error of this iteration. Optimize the green-to-signal ratio.

d.优化非关键交叉口绿信比:从关键交叉口的相邻交叉口开始,两两协调,将上游交叉口作为主路口,下游交叉口作为从路口,进行主从协调控制设计,依次完成非关键交叉口的绿信比优化。d. Optimize the green-signal ratio of non-critical intersections: start from the adjacent intersections of key intersections, coordinate in pairs, take the upstream intersection as the main intersection and the downstream intersection as the slave intersection, carry out the master-slave coordinated control design, and complete in turn Green-signal ratio optimization for non-critical intersections.

e.循环,每隔3~5个信号周期,重复步骤c和d。e. Cycle, repeat steps c and d every 3 to 5 signal cycles.

步骤a中关键交叉口的选择步骤为:The selection steps for key intersections in step a are:

获得受控路段上每个交叉口的交通需求数据{Q1,Q2,Q3},选择其中最大的一个作为关键交叉口,如图1所示该控制区域的关键交叉口为交叉口1。Obtain the traffic demand data {Q1, Q2, Q3} of each intersection on the controlled road section, and select the largest one as the key intersection. As shown in Figure 1, the key intersection in the control area is intersection 1.

步骤c和d中,对绿信比的进行优化的目标是在有限的控制时间[0,K]内,使关键交叉口各相位关键车流的道路占有率

Figure GDA0001732447300000041
趋向于理想占有率od,并使非关键交叉口主干道方向上车流的道路占有率趋向于主路口对应流向的道路占有率,即
Figure GDA0001732447300000051
In steps c and d, the goal of optimizing the green signal ratio is to make the road occupancy rate of the key traffic flow at each phase of the key intersection within the limited control time [0, K].
Figure GDA0001732447300000041
tends to the ideal occupancy rate o d , and makes the road occupancy rate of the traffic flow in the direction of the main road of the non-critical intersection tends to the road occupancy rate of the corresponding flow direction of the main intersection, namely
Figure GDA0001732447300000051

步骤c中对关键交叉口绿信比进行优化计算的过程为:The process of optimizing the calculation of the green-signal ratio of key intersections in step c is as follows:

1)利用去伪策略确定迭代学习控制的闭环控制器1) Determine the closed-loop controller of iterative learning control using the pseudo-removal strategy

首先确定一个候选控制器参数集合

Figure GDA0001732447300000052
使得其中各参数对应的控制器均确保相应的迭代学习控制收敛。然后确定去伪策略中对于每一个候选参数对应控制器的虚拟参考的计算方法:First determine a set of candidate controller parameters
Figure GDA0001732447300000052
The controller corresponding to each parameter ensures the corresponding iterative learning control convergence. Then determine the calculation method of the virtual reference of the controller corresponding to each candidate parameter in the de-pseudo strategy:

Figure GDA0001732447300000053
Figure GDA0001732447300000053

最后确定每个候选控制器的性能指标:Finally determine the performance metrics of each candidate controller:

Figure GDA0001732447300000054
Figure GDA0001732447300000054

其中α和β为设定向量。从候选控制器参数集合中选取最大的

Figure GDA0001732447300000055
计算它对应控制器的虚拟参考
Figure GDA0001732447300000056
和性能指标
Figure GDA0001732447300000057
若该候选控制器满足性能指标,则该控制器为非伪控制器,加入控制系统,若不满足,则在剩余的候选控制器参数中选择最大的一个进行计算,直至有候选参数对应的控制器满足性能指标。where α and β are setting vectors. Pick the largest one from the set of candidate controller parameters
Figure GDA0001732447300000055
Calculate the virtual reference of its corresponding controller
Figure GDA0001732447300000056
and performance indicators
Figure GDA0001732447300000057
If the candidate controller satisfies the performance index, the controller is a non-pseudo controller and is added to the control system. If not, the largest one of the remaining candidate controller parameters is selected for calculation until there is a control corresponding to the candidate parameter. The device meets the performance specifications.

2)根据去伪策略得到的控制器进行关键交叉口绿灯时间的计算,其中迭代学习控制的学习律设定为:2) Calculate the green light time of the key intersection according to the controller obtained from the pseudo-removal strategy, where the learning law of the iterative learning control is set as:

Figure GDA0001732447300000058
Figure GDA0001732447300000058

步骤d中对非关键交叉口的绿信比进行优化的过程为,从关键交叉口的相邻交叉口开始对主干道上的交叉口进行两两协调,将上游交叉口作为下游交叉口的理想模型,进行主从控制,依次完成绿信比的优化,如图1所示,该受控区域的优化步骤应为{2,3}。The process of optimizing the green-signal ratio of non-critical intersections in step d is to coordinate the intersections on the main road from the adjacent intersections of key intersections, and take the upstream intersection as the ideal downstream intersection. model, perform master-slave control, and complete the optimization of the green-signal ratio in turn. As shown in Figure 1, the optimization steps in this controlled area should be {2, 3}.

本文中所描述的具体实施例仅仅是对本发明精神作举例说明。并不能以此来限定本发明的权利范围。实际上,对于更加复杂的现场情况,如存在“T”型交叉口、部分车道为单行道等实际情况,本发明所述的方法同样可以加以应用,只要考虑简单改变流量计算的方法即可。The specific embodiments described herein are merely illustrative of the spirit of the invention. This does not limit the right scope of the present invention. In fact, for more complex on-site situations, such as the existence of "T"-shaped intersections, part of the lanes are one-way streets, etc., the method described in the present invention can also be applied, as long as the method of simply changing the flow calculation can be considered.

Claims (1)

1. A city main road coordination control method based on adaptive iterative learning control is suitable for an urban road traffic area comprising a plurality of continuous adjacent intersections, and comprises the following steps:
a. determining a key intersection: for the controlled main road, determining an intersection with the largest traffic demand as a key intersection;
b. initializing common signal period, split ratio, phase difference: for a key intersection, acquiring an intersection signal period according to a Webster method, and taking the intersection signal period as an intersection public signal period; each intersection adopts a four-phase timing scheme, and the initial green signal ratio is calculated according to the phase flow ratio of the intersection; meanwhile, the phase difference between adjacent intersections of the main road is calculated by dividing the length of the road section by the average speed of the road section;
c. optimizing the green signal ratio of the key intersection: determining the closed-loop control rate of iterative learning control by using a pseudo-removing control method according to real-time traffic data, and then optimizing the split green ratio by using the open-closed loop iterative learning control method by using the error of the previous iteration and the error of the current iteration, wherein the optimization aims at the limited control time [0, K ]]In the method, the road occupancy of each phase key traffic flow at the key intersection is ensured
Figure FDA0002500283850000011
Tending towards the ideal occupancy odWherein
Figure FDA0002500283850000012
The subscript indicates the ith key phase of the key intersection j;
the steps for carrying out optimization calculation on the split green ratio are as follows:
1) determining a closed-loop controller for iterative learning control by utilizing a de-counterfeiting strategy;
first, a candidate controller parameter set is determined
Figure FDA0002500283850000013
Ensuring the convergence of corresponding iterative learning control by the controller corresponding to each parameter, and then determining a calculation method of virtual reference of the controller corresponding to each candidate parameter in the pseudo-removing strategy:
Figure FDA0002500283850000014
finally, determining the performance index of each candidate controller:
Figure FDA0002500283850000015
wherein α and β are set vectors, and the largest is selected from the set of candidate controller parameters
Figure FDA0002500283850000016
Calculating its virtual reference to the controller
Figure FDA0002500283850000017
And performance index
Figure FDA0002500283850000018
If the candidate controller meets the performance index, the controller is a non-pseudo controller, a control system is added, if the candidate controller does not meet the performance index, the largest one of the remaining candidate controller parameters is selected for calculation until the controller corresponding to the candidate parameter meets the performance index;
2) and calculating the green time of the key intersection according to the controller obtained by the pseudo-removing strategy, wherein the learning law of iterative learning control is set as follows:
Figure FDA0002500283850000021
wherein u isn(k) For the green light of the kth sampling period of the nth iterationM, en(k) For the error at the kth sampling instant of the nth iteration,
Figure FDA0002500283850000022
for the open-loop iterative learning control portion,
Figure FDA0002500283850000023
in order to perform the closed-loop iterative learning control part,
Figure FDA0002500283850000024
for closed loop learning control rate, koThe open loop learning control rate;
d. optimizing the green signal ratio of the non-critical intersection: starting from adjacent intersections of the key intersections, coordinating every two intersections, taking an upstream intersection as a main intersection and a downstream intersection as a slave intersection, carrying out master-slave coordination control design, and sequentially finishing the optimization of the green-to-green ratio of non-key intersections, wherein the optimization target is that the limited control time is [0, K ]]In the method, the road occupancy of traffic flow in the main road direction of the non-critical intersection tends to the road occupancy of the corresponding flow direction of the main road, namely
Figure FDA0002500283850000025
Wherein
Figure FDA0002500283850000026
Subscripts denote the ith phase of n, m at adjacent crossings;
e. and c, circulating, and repeating the steps c and d every 3-5 signal periods.
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