CN111994079A - A non-cooperative game lane change assistant decision-making system and method considering driving style characteristics - Google Patents
A non-cooperative game lane change assistant decision-making system and method considering driving style characteristics Download PDFInfo
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Abstract
本发明公开了一种考虑驾驶风格特性的非合作博弈换道辅助决策系统及方法,包括:驾驶环境数据采集模块用于采集联网车辆的周围移动单元和静止单元的位置数据和运动数据,以得到驾驶环境数据集;换道动机判断模块用于接收上述驾驶环境数据集,并对其进行分析计算,判断驾驶员是否具有换道动机;换道收益计算与判断模块用于接收上述换道动机指令,进行博弈收益计算和驾驶风格计算,得出换道收益结果并判断收益高低;换道辅助决策提示模块根据上述收益高低信息,提示驾驶员执行换道或放弃换道。本发明深入分析博弈换道的场景以及驾驶风格的影响并将两者结合,使得提出的模型决策方法做出的换道决策效率比单纯的基于博弈模型的换道决策效率更高。
The invention discloses a non-cooperative game lane change auxiliary decision-making system and method considering driving style characteristics. Driving environment data set; the lane-changing motivation judgment module is used to receive the above-mentioned driving environment data set, and analyze and calculate it to determine whether the driver has a lane-changing motivation; the lane-changing income calculation and judgment module is used to receive the above-mentioned lane-changing motivation instruction , carry out game profit calculation and driving style calculation, obtain the result of lane change income and judge the level of income; the lane change assistant decision prompt module prompts the driver to perform lane change or give up lane change according to the above income level information. The invention deeply analyzes the game lane changing scene and the influence of the driving style and combines the two, so that the proposed model decision method makes the lane change decision efficiency higher than the simple game model-based lane change decision efficiency.
Description
技术领域technical field
本发明涉及车辆安全技术领域,尤其涉及一种考虑驾驶风格特性的非合作博弈换道辅助决策系统及方法。The invention relates to the technical field of vehicle safety, and in particular, to a non-cooperative game lane changing auxiliary decision-making system and method considering driving style characteristics.
背景技术Background technique
在车辆行驶过程中驾驶员是根据道路环境及周围车辆信息的变化而采取不同的驾驶行为。在换道和跟驰两种驾驶行为中,由于换道过程的复杂性,更容易因为换道决策失误而导致交通事故发生。在网联环境下,驾驶辅助系统能够通过对周围环境和车辆的全面感知,给驾驶员的换道行为提供有效的决策辅助。During the driving of the vehicle, the driver adopts different driving behaviors according to the changes of the road environment and surrounding vehicle information. In the two driving behaviors of lane-changing and car-following, due to the complexity of the lane-changing process, it is more likely to cause traffic accidents due to wrong lane-changing decisions. In the networked environment, the driver assistance system can provide effective decision assistance for the driver's lane changing behavior through a comprehensive perception of the surrounding environment and the vehicle.
现有的换道驾驶辅助系统采用的换道决策模型大多都是基于车辆运动学规律建立的,只能在车辆换道前对换道危险进行预警,不能准确反映由于驾驶员的因素影响感性决策实现的过程,难以体现换道过程中驾驶员的驾驶行为变化。Most of the lane-changing decision-making models used in the existing lane-changing driving assistance systems are established based on the laws of vehicle kinematics, which can only give an early warning of the danger of lane-changing before the vehicle changes lanes, and cannot accurately reflect the perceptual decision-making that is affected by the driver's factors. The process of realization is difficult to reflect the change of the driver's driving behavior during the lane change process.
发明内容SUMMARY OF THE INVENTION
针对于上述现有技术的不足,本发明的目的在于提供一种考虑驾驶风格特性的非合作博弈换道辅助决策系统及方法,以解决现有技术中换道驾驶辅助系统不能准确反映由于驾驶员的因素影响感性决策实现的过程,难以体现换道过程中驾驶员的驾驶行为变化的问题。本发明通过将非合作博弈论的思想和驾驶员特性结合,使得换道辅助决策方法更加灵活和适用。In view of the above-mentioned deficiencies of the prior art, the purpose of the present invention is to provide a non-cooperative game lane-changing assistance decision-making system and method considering driving style characteristics, so as to solve the problem that the lane-changing driving assistance system in the prior art cannot accurately reflect the driver The factors that affect the realization process of perceptual decision-making are difficult to reflect the change of the driver's driving behavior during the lane changing process. By combining the idea of non-cooperative game theory with driver characteristics, the invention makes the lane-changing assistant decision-making method more flexible and applicable.
为达到上述目的,本发明采用的技术方案如下:For achieving the above object, the technical scheme adopted in the present invention is as follows:
本发明的一种考虑驾驶风格特性的非合作博弈换道辅助决策系统,包括:A non-cooperative game lane change auxiliary decision-making system considering driving style characteristics of the present invention includes:
驾驶环境数据采集模块,用于采集联网车辆的周围移动单元和静止单元的位置数据和运动数据,以得到驾驶环境数据集;The driving environment data collection module is used to collect the position data and motion data of the surrounding mobile units and stationary units of the connected vehicle to obtain the driving environment data set;
换道动机判断模块,用于接收上述驾驶环境数据集,并对其进行分析计算,判断驾驶员是否具有换道动机,若“有”则产生换道动机指令;The lane-changing motivation judgment module is used to receive the above-mentioned driving environment data set, and analyze and calculate it to determine whether the driver has a lane-changing motivation, and if "yes", generate a lane-changing motivation instruction;
换道收益计算与判断模块,用于接收上述换道动机指令,进行博弈收益计算和驾驶风格计算,得出换道收益结果并判断收益高低;The lane-changing income calculation and judgment module is used to receive the above-mentioned lane-changing motivation instruction, perform game income calculation and driving style calculation, obtain the lane-changing income result and judge the level of income;
换道辅助决策提示模块,根据上述收益高低信息,提示驾驶员执行换道或放弃换道。The lane change assistant decision prompt module, according to the above-mentioned income level information, prompts the driver to perform lane change or give up lane change.
进一步地,所述换道动机判断模块判断是否具有换道动机的判断方法如下:Further, the method for judging whether the lane-changing motive judging module has a lane-changing motive is as follows:
其中,Δxi表示目标车辆与障碍物之间的距离;Tsafe表示安全时距,Tmin表示最小反应时间;vi+1分别表示目标车辆的期望速度、实际速度以及前导车辆的实际速度;vbar为影响目标车辆继续行驶的物体的移动速度。Among them, Δx i represents the distance between the target vehicle and the obstacle; T safe represents the safe time distance, and T min represents the minimum reaction time; v i+1 respectively represent the expected speed, actual speed of the target vehicle and the actual speed of the leading vehicle; v bar is the moving speed of the object that affects the target vehicle to continue driving.
进一步地,所述换道收益计算与判断模块计算的方法如下:Further, the method for calculating the lane change income and the judging module calculation is as follows:
收益函数计算公式如下:The formula for calculating the profit function is as follows:
G或g=α1*ε+α2*δG or g=α 1 *ε+α 2 *δ
其中,ε与δ分别为进行换道决策时当前车获得的安全收益和时效收益,其值由下面公式计算得:Among them, ε and δ are the safety benefit and time-effectiveness benefit obtained by the current vehicle when the lane change decision is made, respectively, and their values are calculated by the following formula:
式中,Smin为进行换道决策所需的最小安全距离;t为到达目标地点所需要的时间,t0为保持原状态下达到目的地所需的时间,S为到达目的地距离,收益函数的计算转换为求进行换道决策时所需的最小安全距离以及到达目的地所用时间;In the formula, S min is the minimum safe distance required to make a lane change decision; t is the time required to reach the target location, t 0 is the time required to reach the destination in the original state, S is the distance to the destination, and the benefits The calculation of the function is converted into the minimum safe distance required to make a lane change decision and the time it takes to reach the destination;
其中,α1、α2为权重系数,不同风格的驾驶员对于效率和安全不同的需求,权重会有不同,初始值任意,且满足α1,α2∈{α1+α2=1,0<α1、α2<1},α1、α2取值规则如下:Among them, α 1 and α 2 are weight coefficients. Different styles of drivers have different requirements for efficiency and safety, and the weights will be different. The initial value is arbitrary, and α 1 , α 2 ∈ {α 1 +α 2 =1, 0<α 1 , α 2 <1}, the value rules for α 1 and α 2 are as follows:
α2=1-α1 α 2 =1-α 1
式中,Rdriver为驾驶员风格识别系数,计算公式如下所示:In the formula, R driver is the driver style recognition coefficient, and the calculation formula is as follows:
式中,RJ,分别为识别域中冲击度J(t)的标准差和标准型驾驶员在当前工况下的平均值;冲击度J(t)以车辆行驶速度v(t)衡量,其定义为:In the formula, R J , are the standard deviation of the shock degree J(t) in the recognition domain and the average value of the standard driver under the current working conditions; the shock degree J(t) is measured by the vehicle speed v(t), which is defined as:
式中,J(t)平均值在拥挤工况、城市工况、郊区工况、高速路工况分别取值0.59、0.31、0.26、0.25。In the formula, the average value of J(t) is 0.59, 0.31, 0.26, and 0.25 in crowded conditions, urban conditions, suburban conditions, and expressway conditions, respectively.
本发明的一种考虑驾驶风格特性的非合作博弈换道辅助决策方法,步骤如下:A non-cooperative game lane change auxiliary decision-making method considering driving style characteristics of the present invention, the steps are as follows:
步骤1)根据采集到的驾驶环境数据来判断驾驶员是否具有换道动机;若无换道动机,则进入步骤4),若有换道动机,则进入步骤2);Step 1) judge whether the driver has a lane-changing motive according to the collected driving environment data; if there is no lane-changing motive, then enter step 4), if there is a lane-changing motive, then enter step 2);
步骤2)进行博弈换道决策,构建博弈收益矩阵;Step 2) make a game lane change decision, and construct a game profit matrix;
步骤3)根据上述步骤2)得到的收益矩阵,求解所有Nash均衡的混合策略组合,判断收益高低;若收益低则提示驾驶员建议放弃换道,进入步骤4);若收益高则提示驾驶员建议执行换道,进入步骤5);Step 3) According to the income matrix obtained in the above-mentioned step 2), solve all Nash-equilibrium mixed strategy combinations, and determine the level of income; if the income is low, the driver is prompted to give up changing lanes, and enter step 4); if the income is high, the driver is prompted. It is recommended to change lanes and go to step 5);
步骤4)建议放弃换道,进入步骤6);Step 4) It is recommended to give up changing lanes and go to step 6);
步骤5)建议执行换道,进入步骤6);Step 5) It is recommended to perform a lane change, and enter step 6);
步骤6)决策结束。Step 6) The decision is over.
进一步地,所述步骤1)中的驾驶员是否具有换道动机的判断方法如下:Further, whether the driver in the described step 1) has a method for judging whether the motive for changing lanes is as follows:
式中,Δxi表示目标车辆与障碍物之间的距离;Tsafe表示安全时距,Tmin表示最小反应时间;vi+1分别表示目标车辆的期望速度、实际速度以及前导车辆的实际速度;vbar为影响目标车辆继续行驶的物体的移动速度。In the formula, Δx i represents the distance between the target vehicle and the obstacle; T safe represents the safe time distance, and T min represents the minimum reaction time; v i+1 respectively represent the expected speed, actual speed of the target vehicle and the actual speed of the leading vehicle; v bar is the moving speed of the object that affects the target vehicle to continue driving.
进一步地,所述步骤2)具体包括:在完全信息静态非合作博弈下,则有,定义目标车辆M的策略集为Φ1={C,N},其中,C表示换道,N为不换道,策略对应的概率分别为p、1-p;邻道后随车辆B1的策略集为Φ2={D,R},其中,D为允许换道,R为拒绝换道,其策略对应概率为q、1-q;M与B1收益用Gij、gij表示,则得到博弈收益矩阵;Further, the step 2) specifically includes: under a static non-cooperative game with complete information, then there is, defining the strategy set of the target vehicle M as Φ 1 ={C,N}, where C represents lane change, and N represents no Lane changing, the corresponding probabilities of the strategies are p, 1-p respectively; the strategy set of the following vehicle B 1 in the adjacent lane is Φ 2 ={D,R}, where D is the lane change allowed, R is the refusal to change the lane, and its The corresponding probability of the strategy is q, 1-q; the income of M and B 1 is represented by G ij and g ij , then the game income matrix is obtained;
目标车辆M换道,邻道后随车辆B1允许换道,此时M与B1收益分别为G11和g11;目标车辆M不换道,邻道后随车辆B1允许换道,此时M与B1收益分别为G12和g12;目标车辆M换道,邻道后随车辆B1不允许换道,此时M与B1收益分别为G21和g21;目标车辆M不换道,邻道后随车辆B1不允许换道,此时M与B1收益分别为G22和g22。The target vehicle M changes lanes, and the following vehicle B1 in the adjacent lane is allowed to change lanes. At this time, the gains of M and B1 are G11 and g11 respectively; the target vehicle M does not change lanes, and the following vehicle B1 in the adjacent lane is allowed to change lanes, At this time, the gains of M and B1 are G 12 and g 12 respectively; the target vehicle M changes lanes, and the following vehicle B 1 is not allowed to change lanes, at this time, the gains of M and B 1 are G 21 and g 21 respectively ; the target vehicle M does not change lanes, and the following vehicle B 1 in the adjacent lane is not allowed to change lanes. At this time, the benefits of M and B 1 are G 22 and g 22 respectively.
进一步地,所述步骤3)具体包括:计算混合策略各收益函数,收益函数计算公式如下:Further, the step 3) specifically includes: calculating each profit function of the mixed strategy, and the calculation formula of the profit function is as follows:
G=α1*ε+α2*δ (1)G=α 1 *ε+α 2 *δ (1)
其中,ε与δ分别为进行换道决策当前车获得的安全收益和时效收益;α1、α2是权重系数,不同风格的驾驶员对于效率和安全不同的需求,权重会有不同,初始值任意,且满足α1,α2∈{α1+α2=1,0<α1、α2<1};Among them, ε and δ are the safety benefits and time-effectiveness benefits obtained by the current vehicle in the lane-changing decision, respectively; α 1 , α 2 are the weight coefficients, and drivers of different styles have different requirements for efficiency and safety, and the weights will be different. The initial value Any, and satisfy α 1 , α 2 ∈ {α 1 +α 2 =1, 0<α 1 , α 2 <1};
对行驶风格进行量化,行驶过程中产生的冲击度Rdriver表征驾驶员风格识别系数,计算公式如下所示:The driving style is quantified, and the impact degree R driver generated during driving represents the driver's style recognition coefficient. The calculation formula is as follows:
其中,RJ,分别为识别域中冲击度J(t)的标准差和标准型驾驶员在当前工况下的平均值;冲击度J(t)以车辆行驶速度v(t)衡量,其定义为:where R J , are the standard deviation of the shock degree J(t) in the recognition domain and the average value of the standard driver under the current working conditions; the shock degree J(t) is measured by the vehicle speed v(t), which is defined as:
其中,J(t)平均值在拥挤工况、城市工况、郊区工况、高速路工况分别取值0.59、0.31、0.26、0.25;Among them, the average value of J(t) is 0.59, 0.31, 0.26, and 0.25 in crowded conditions, urban conditions, suburban conditions, and expressway conditions, respectively;
根据监测时间内的车速信息计算在行驶过程中产生的冲击度Rdriver,将结果对比常数Ragg和Rnorm;Rnorm表示普通型驾驶风格临界值,取值为0.5,Ragg表示激进型驾驶风格临界值,取值为1;若Rdriver<Rnorm,则该驾驶员的驾驶风格属于谨慎型,若Rdriver>Ragg,则给驾驶员的风格属于激进型,若介于二者之间,则属于普通型。Calculate the impact degree R driver generated during driving according to the vehicle speed information during the monitoring time, and compare the results with the constants Ragg and R norm ; R norm represents the threshold value of normal driving style, which is 0.5, and Ragg represents aggressive driving The style threshold, which takes a value of 1; if R driver < R norm , the driver's driving style is cautious; if R driver > R agg , the driver's style is aggressive, and if it is between the two room, it belongs to the ordinary type.
当驾驶员驾驶风格不同对安全和时间效益需求不同,即α1、α2取值不同:When the driver's driving style is different, the requirements for safety and time benefit are different, that is, the values of α 1 and α 2 are different:
α2=1-α1 (5)α 2 =1-α 1 (5)
安全收益与时效收益的计算方式如下:The calculation method of security benefit and aging benefit is as follows:
式中,Smin为进行决策所需的最小安全距离;t为当前到达目标地点所需要的时间,t0为保持原状态下达到目的地所需的时间,S为到达目的地距离;收益函数的计算转换为求进行决策所需的最小安全距离以及到达目的地所用时间;In the formula, S min is the minimum safe distance required for decision-making; t is the current time required to reach the target location, t 0 is the time required to reach the destination in the original state, and S is the distance to the destination; the benefit function The calculation is converted into the minimum safe distance required to make a decision and the time it takes to reach the destination;
在跟驰状态下,前导车决定跟驰车的反应,则最小安全距离模型为:In the car-following state, the leading car decides the reaction of the car-following car, then the minimum safe distance model is:
其中,VF(t)为前车速度,VL(t)为后车速度,β1=1/w为当前车对前导车反应时间,w为车的宽度,β2为当前车辆的最大减速度二倍的倒数,根据参数标定,有γ=-β1;Among them, V F (t) is the speed of the preceding vehicle, VL (t) is the speed of the following vehicle, β 1 =1/w is the reaction time of the current vehicle to the leading vehicle, w is the width of the vehicle, and β 2 is the maximum speed of the current vehicle The reciprocal of twice the deceleration, according to the parameter calibration, there is γ=-β 1 ;
换道时,换道车辆可能发生的碰撞为斜向碰撞,建模最小换道安全距离,M与B1避免发生碰撞的条件为:When changing lanes, the possible collisions of vehicles changing lanes are oblique collisions. The minimum safe distance for lane changing is modeled. The conditions for M and B1 to avoid collisions are:
且and
令两车在行驶方向的间距为:Let the distance between the two cars in the direction of travel be:
其中,θ为车辆M行进轨迹切线方向与道路纵向的夹角;Among them, θ is the angle between the tangential direction of the vehicle M's travel trajectory and the longitudinal direction of the road;
则:but:
式(12)为非碰撞换道的充要条件,其中,aM分别是B1和M车的纵向加速度;Equation (12) is the necessary and sufficient condition for non-collision lane change, where, a M are the longitudinal accelerations of B 1 and M cars, respectively;
只要在换道期间保证h>0,则不会发生碰撞,由此可得:As long as h>0 is guaranteed during lane changing, no collision will occur, thus we can get:
同理,则换道最小安全距离:In the same way, the minimum safe distance for changing lanes is:
通过目的地距离以及车辆初始速度,得到达目的地所用时间。The time taken to reach the destination is obtained by the distance to the destination and the initial speed of the vehicle.
进一步地,所述步骤3)具体还包括:在Nash均衡策略组合下,任何一个博弈参与者的做出的决策是对其他参与者的最优决策;在此基础上,对照步骤2)中所描述的博弈收益矩阵,将M和B1所选择决策的概率分别记为向量x=(x1,x2),y=(y1,y2)T,则所求混合策略Nash均衡的解为:Further, the step 3) specifically also includes: under the Nash equilibrium strategy combination, the decision made by any game participant is the optimal decision for other participants; The described game profit matrix, the probability of M and B 1 's decision-making is recorded as vector x = (x 1 , x 2 ), y = (y 1 , y 2 ) T , then the solution of the mixed strategy Nash equilibrium is obtained. for:
等价于:Equivalent to:
将博弈收益矩阵中的收益计算所求解(p*,q*)满足即为非合作博弈换道的一个混合策略Nash均衡组合的解。Satisfying (p * , q * ) in the payoff calculation in the game payoff matrix is the solution of a mixed-strategy Nash equilibrium combination of a non-cooperative game lane change.
进一步地,根据步骤3)所求解判断目标车辆换道的收益高低,当ε>1000时,安全收益为高;否则为低;当δ>800时,时效收益为高,否则为低;则收益高低判断规则如下:Further, according to the solution obtained in step 3), the profit of the target vehicle changing lanes is determined. When ε>1000, the safety benefit is high; otherwise, it is low; when δ>800, the aging benefit is high, otherwise it is low; then the benefit The high-low judgment rules are as follows:
当G>1000*α1+800*α2时,目标车辆换道收益为高,否则为低。When G>1000*α 1 +800*α 2 , the target vehicle lane-changing profit is high, otherwise it is low.
本发明的有益效果:Beneficial effects of the present invention:
本发明可以在更加接近真实场景下辅助驾驶员进行换道决策,将风格系数引入到收益计算,使得决策方法更加接近实际驾驶情况,体现不同风格对期望收益的影响;同时有利于驾驶辅助系统的开发以及作为网联车的换道决策。现有基于元胞自动机模型的换道决策由于只对换道车辆进行分析,忽略了相关车辆动态交互影响的存在,同时其换道规则较为苛刻,使得目标车辆的换道效率较低。而本发明深入分析博弈换道的场景以及驾驶风格的影响并将两者结合,使得提出的模型决策方法做出的换道决策效率比单纯的基于博弈模型的换道决策效率更高。The present invention can assist the driver to make a lane change decision in a closer real scene, and introduce the style coefficient into the income calculation, so that the decision-making method is closer to the actual driving situation, reflecting the influence of different styles on the expected income; at the same time, it is beneficial to the driving assistance system. development and lane change decisions as a connected car. The existing lane-changing decision based on cellular automata model only analyzes the lane-changing vehicles, ignoring the existence of the dynamic interaction of related vehicles, and its lane-changing rules are relatively strict, which makes the lane-changing efficiency of the target vehicle low. However, the present invention deeply analyzes the game lane changing scene and the influence of the driving style and combines the two, so that the proposed model decision method makes the lane change decision more efficient than the simple game model-based lane change decision.
附图说明Description of drawings
图1为本发明系统的原理框图。Fig. 1 is the principle block diagram of the system of the present invention.
图2为本发明方法的流程图。Figure 2 is a flow chart of the method of the present invention.
具体实施方式Detailed ways
为了便于本领域技术人员的理解,下面结合实施例与附图对本发明作进一步的说明,实施方式提及的内容并非对本发明的限定。In order to facilitate the understanding of those skilled in the art, the present invention will be further described below with reference to the embodiments and the accompanying drawings, and the contents mentioned in the embodiments are not intended to limit the present invention.
参照图1所示,本发明的一种考虑驾驶风格特性的非合作博弈换道辅助决策系统,包括:Referring to Fig. 1, a non-cooperative game lane change auxiliary decision-making system considering driving style characteristics of the present invention includes:
驾驶环境数据采集模块,用于采集联网车辆的周围移动单元和静止单元的位置数据和运动数据,以得到驾驶环境数据集;The driving environment data collection module is used to collect the position data and motion data of the surrounding mobile units and stationary units of the connected vehicle to obtain the driving environment data set;
换道动机判断模块,用于接收上述驾驶环境数据集,并对其进行分析计算,判断驾驶员是否具有换道动机,若“有”则产生换道动机指令;The lane-changing motivation judgment module is used to receive the above-mentioned driving environment data set, and analyze and calculate it to determine whether the driver has a lane-changing motivation, and if "yes", generate a lane-changing motivation instruction;
换道收益计算与判断模块,用于接收上述换道动机指令,进行博弈收益计算和驾驶风格计算,得出换道收益结果并判断收益高低;The lane-changing income calculation and judgment module is used to receive the above-mentioned lane-changing motivation instruction, perform game income calculation and driving style calculation, obtain the lane-changing income result and judge the level of income;
换道辅助决策提示模块,根据上述收益高低信息,提示驾驶员执行换道或放弃换道。The lane change assistant decision prompt module, according to the above-mentioned income level information, prompts the driver to perform lane change or give up lane change.
其中,所述换道动机判断模块判断是否具有换道动机的判断方法如下:Wherein, the method for judging whether the lane-changing motive judging module has a lane-changing motive is as follows:
其中,Δxi表示目标车辆与障碍物之间的距离;Tsafe表示安全时距,Tmin表示最小反应时间;vi+1分别表示目标车辆的期望速度、实际速度以及前导车辆的实际速度;vbar为影响目标车辆继续行驶的物体的移动速度。Among them, Δx i represents the distance between the target vehicle and the obstacle; T safe represents the safe time distance, and T min represents the minimum reaction time; v i+1 respectively represent the expected speed, actual speed of the target vehicle and the actual speed of the leading vehicle; v bar is the moving speed of the object that affects the target vehicle to continue driving.
其中,所述换道收益计算与判断模块计算的方法如下:Wherein, the method for calculating the lane change income and the judging module calculation is as follows:
收益函数计算公式如下:The formula for calculating the profit function is as follows:
G或g=α1*ε+α2*δG or g=α 1 *ε+α 2 *δ
其中,ε与δ分别为进行换道决策时当前车获得的安全收益和时效收益,其值由下面公式计算得:Among them, ε and δ are the safety benefit and time-effectiveness benefit obtained by the current vehicle when the lane change decision is made, respectively, and their values are calculated by the following formula:
式中,Smin为进行换道决策所需的最小安全距离;t为到达目标地点所需要的时间,t0为保持原状态下达到目的地所需的时间,S为到达目的地距离,收益函数的计算转换为求进行换道决策时所需的最小安全距离以及到达目的地所用时间;In the formula, S min is the minimum safe distance required to make a lane change decision; t is the time required to reach the target location, t 0 is the time required to reach the destination in the original state, S is the distance to the destination, and the benefits The calculation of the function is converted into the minimum safe distance required to make a lane change decision and the time it takes to reach the destination;
其中,α1、α2为权重系数,不同风格的驾驶员对于效率和安全不同的需求,权重会有不同,初始值任意,且满足α1,α2∈{α1+α2=1,0<α1、α2<1},α1、α2取值规则如下:Among them, α 1 and α 2 are weight coefficients. Different styles of drivers have different requirements for efficiency and safety, and the weights will be different. The initial value is arbitrary, and α 1 , α 2 ∈ {α 1 +α 2 =1, 0<α 1 , α 2 <1}, the value rules for α 1 and α 2 are as follows:
α2=1-α1 α 2 =1-α 1
式中,Rdriver为驾驶员风格识别系数,计算公式如下所示:In the formula, R driver is the driver style recognition coefficient, and the calculation formula is as follows:
式中,RJ,分别为识别域中冲击度J(t)的标准差和标准型驾驶员在当前工况下的平均值;冲击度J(t)以车辆行驶速度v(t)衡量,其定义为:In the formula, R J , are the standard deviation of the shock degree J(t) in the recognition domain and the average value of the standard driver under the current working conditions; the shock degree J(t) is measured by the vehicle speed v(t), which is defined as:
式中,J(t)平均值在拥挤工况、城市工况、郊区工况、高速路工况分别取值0.59、0.31、0.26、0.25。In the formula, the average value of J(t) is 0.59, 0.31, 0.26, and 0.25 in crowded conditions, urban conditions, suburban conditions, and expressway conditions, respectively.
参照图2所示,本发明的一种考虑驾驶风格特性的非合作博弈换道辅助决策方法,步骤如下:Referring to Fig. 2, a non-cooperative game lane change auxiliary decision-making method considering driving style characteristics of the present invention, the steps are as follows:
步骤1)根据采集到的驾驶环境数据来判断驾驶员是否具有换道动机;若无换道动机,则进入步骤4),若有换道动机,则进入步骤2);Step 1) judge whether the driver has a lane-changing motive according to the collected driving environment data; if there is no lane-changing motive, then enter step 4), if there is a lane-changing motive, then enter step 2);
驾驶员是否具有换道动机的判断方法如下:The method for judging whether the driver has the motive to change lanes is as follows:
式中,Δxi表示目标车辆与障碍物之间的距离;Tsafe表示安全时距,Tmin表示最小反应时间;vi+1分别表示目标车辆的期望速度、实际速度以及前导车辆的实际速度;vbar为影响目标车辆继续行驶的物体的移动速度。In the formula, Δx i represents the distance between the target vehicle and the obstacle; T safe represents the safe time distance, and T min represents the minimum reaction time; v i+1 respectively represent the expected speed, actual speed of the target vehicle and the actual speed of the leading vehicle; v bar is the moving speed of the object that affects the target vehicle to continue driving.
步骤2)进行博弈换道决策,构建博弈收益矩阵;Step 2) make a game lane change decision, and construct a game profit matrix;
在完全信息静态非合作博弈下,则有,定义目标车辆M的策略集为Φ1={C,N},其中,C表示换道,N为不换道,策略对应的概率分别为p、1-p;邻道后随车辆B1的策略集为Φ2={D,R},其中,D为允许换道,R为拒绝换道,其策略对应概率为q、1-q;M与B1收益用Gij、gij表示,则得到博弈收益矩阵;Under the static non-cooperative game with complete information, then, the strategy set of the target vehicle M is defined as Φ 1 ={C,N}, where C means lane change, N means no lane change, and the corresponding probabilities of the strategies are p, 1-p; the strategy set of the following vehicle B 1 in the adjacent lane is Φ 2 ={D,R}, where D is the allowed lane change, R is the refusal to change the lane, and the corresponding probability of the policy is q, 1-q; M And B 1 income is represented by G ij , g ij , then the game income matrix is obtained;
目标车辆M换道,邻道后随车辆B1允许换道,此时M与B1收益分别为G11和g11;目标车辆M不换道,邻道后随车辆B1允许换道,此时M与B1收益分别为G12和g12;目标车辆M换道,邻道后随车辆B1不允许换道,此时M与B1收益分别为G21和g21;目标车辆M不换道,邻道后随车辆B1不允许换道,此时M与B1收益分别为G22和g22。The target vehicle M changes lanes, and the following vehicle B1 in the adjacent lane is allowed to change lanes. At this time, the gains of M and B1 are G11 and g11 respectively; the target vehicle M does not change lanes, and the following vehicle B1 in the adjacent lane is allowed to change lanes, At this time, the gains of M and B1 are G 12 and g 12 respectively; the target vehicle M changes lanes, and the following vehicle B 1 is not allowed to change lanes, at this time, the gains of M and B 1 are G 21 and g 21 respectively ; the target vehicle M does not change lanes, and the following vehicle B 1 in the adjacent lane is not allowed to change lanes. At this time, the benefits of M and B 1 are G 22 and g 22 respectively.
步骤3)根据上述步骤2)得到的收益矩阵,求解所有Nash均衡的混合策略组合,判断收益高低;若收益低则提示驾驶员建议放弃换道,进入步骤4);若收益高则提示驾驶员建议执行换道,进入步骤5);Step 3) According to the income matrix obtained in the above-mentioned step 2), solve all Nash-equilibrium mixed strategy combinations, and determine the level of income; if the income is low, the driver is prompted to give up changing lanes, and enter step 4); if the income is high, the driver is prompted. It is recommended to change lanes and go to step 5);
计算混合策略各收益函数,收益函数计算公式如下:Calculate each profit function of the mixed strategy, and the calculation formula of the profit function is as follows:
G=α1*ε+α2*δ (1)G=α 1 *ε+α 2 *δ (1)
其中,ε与δ分别为进行换道决策当前车获得的安全收益和时效收益;α1、α2是权重系数,不同风格的驾驶员对于效率和安全不同的需求,权重会有不同,初始值任意,且满足α1,α2∈{α1+α2=1,0<α1、α2<1};Among them, ε and δ are the safety benefits and time-effectiveness benefits obtained by the current vehicle in the lane-changing decision, respectively; α 1 , α 2 are the weight coefficients, and drivers of different styles have different requirements for efficiency and safety, and the weights will be different. The initial value Any, and satisfy α 1 , α 2 ∈ {α 1 +α 2 =1, 0<α 1 , α 2 <1};
对行驶风格进行量化,行驶过程中产生的冲击度Rdriver表征驾驶员风格识别系数,计算公式如下所示:The driving style is quantified, and the impact degree R driver generated during driving represents the driver's style recognition coefficient. The calculation formula is as follows:
其中,RJ,分别为识别域中冲击度J(t)的标准差和标准型驾驶员在当前工况下的平均值;冲击度J(t)以车辆行驶速度v(t)衡量,其定义为:where R J , are the standard deviation of the shock degree J(t) in the recognition domain and the average value of the standard driver under the current working conditions; the shock degree J(t) is measured by the vehicle speed v(t), which is defined as:
其中,J(t)平均值在拥挤工况、城市工况、郊区工况、高速路工况分别取值0.59、0.31、0.26、0.25;Among them, the average value of J(t) is 0.59, 0.31, 0.26, and 0.25 in crowded conditions, urban conditions, suburban conditions, and expressway conditions, respectively;
根据监测时间内的车速信息计算在行驶过程中产生的冲击度Rdriver,将结果对比常数Ragg和Rnorm;Rnorm表示普通型驾驶风格临界值,取值为0.5,Ragg表示激进型驾驶风格临界值,取值为1;若Rdriver<Rnorm,则该驾驶员的驾驶风格属于谨慎型,若Rdriver>Ragg,则给驾驶员的风格属于激进型,若介于二者之间,则属于普通型。Calculate the impact degree R driver generated during driving according to the vehicle speed information during the monitoring time, and compare the results with the constants Ragg and R norm ; R norm represents the threshold value of normal driving style, which is 0.5, and Ragg represents aggressive driving The style threshold, which takes a value of 1; if R driver < R norm , the driver's driving style is cautious; if R driver > R agg , the driver's style is aggressive, and if it is between the two room, it belongs to the ordinary type.
当驾驶员驾驶风格不同对安全和时间效益需求不同,即α1、α2取值不同:When the driver's driving style is different, the requirements for safety and time benefit are different, that is, the values of α 1 and α 2 are different:
α2=1-α1 (5)α 2 =1-α 1 (5)
安全收益与时效收益的计算方式如下:The calculation method of security benefit and aging benefit is as follows:
式中,Smin为进行决策所需的最小安全距离;t为当前到达目标地点所需要的时间,t0为保持原状态下达到目的地所需的时间,S为到达目的地距离;收益函数的计算转换为求进行决策所需的最小安全距离以及到达目的地所用时间;In the formula, S min is the minimum safe distance required for decision-making; t is the current time required to reach the target location, t 0 is the time required to reach the destination in the original state, and S is the distance to the destination; the benefit function The calculation is converted into the minimum safe distance required to make a decision and the time it takes to reach the destination;
在跟驰状态下,前导车决定跟驰车的反应,则最小安全距离模型为:In the car-following state, the leading car decides the reaction of the car-following car, then the minimum safe distance model is:
其中,VF(t)为前车速度,VL(t)为后车速度,β1=1/w为当前车对前导车反应时间,w为车的宽度,β2为当前车辆的最大减速度二倍的倒数,根据参数标定,有γ=-β1;Among them, V F (t) is the speed of the preceding vehicle, VL (t) is the speed of the following vehicle, β 1 =1/w is the reaction time of the current vehicle to the leading vehicle, w is the width of the vehicle, and β 2 is the maximum speed of the current vehicle The reciprocal of twice the deceleration, according to the parameter calibration, there is γ=-β 1 ;
换道时,换道车辆可能发生的碰撞为斜向碰撞,建模最小换道安全距离,M与B1避免发生碰撞的条件为:When changing lanes, the possible collisions of vehicles changing lanes are oblique collisions. The minimum safe distance for lane changing is modeled. The conditions for M and B1 to avoid collisions are:
且and
令两车在行驶方向的间距为:Let the distance between the two cars in the direction of travel be:
其中,θ为车辆M行进轨迹切线方向与道路纵向的夹角;Among them, θ is the angle between the tangential direction of the vehicle M's travel trajectory and the longitudinal direction of the road;
则:but:
式(12)为非碰撞换道的充要条件,其中,aM分别是B1和M车的纵向加速度;Equation (12) is the necessary and sufficient condition for non-collision lane change, where, a M are the longitudinal accelerations of B 1 and M cars, respectively;
只要在换道期间保证h>0,则不会发生碰撞,由此可得:As long as h>0 is guaranteed during lane changing, no collision will occur, thus we can get:
同理,则换道最小安全距离:In the same way, the minimum safe distance for changing lanes is:
通过目的地距离以及车辆初始速度,得到达目的地所用时间。The time taken to reach the destination is obtained by the distance to the destination and the initial speed of the vehicle.
所述步骤3)具体还包括:在Nash均衡策略组合下,任何一个博弈参与者的做出的决策是对其他参与者的最优决策;在此基础上,对照步骤2)中所描述的博弈收益矩阵,将M和B1所选择决策的概率分别记为向量x=(x1,x2),y=(y1,y2)T,则所求混合策略Nash均衡的解为:The step 3) specifically further includes: under the Nash equilibrium strategy combination, the decision made by any game participant is the optimal decision for other participants; on this basis, compare the game described in step 2). Profit matrix, the probability of M and B 1 selected decisions are recorded as vectors x = (x 1 , x 2 ), y = (y 1 , y 2 ) T , then the solution of the mixed strategy Nash equilibrium is:
等价于:Equivalent to:
将博弈收益矩阵中的收益计算所求解(p*,q*)满足即为非合作博弈换道的一个混合策略Nash均衡组合的解。Satisfying (p * , q * ) in the payoff calculation in the game payoff matrix is the solution of a mixed-strategy Nash equilibrium combination of a non-cooperative game lane change.
根据步骤3)所求解判断目标车辆换道的收益高低,当ε>1000时,安全收益为高;否则为低;当δ>800时,时效收益为高,否则为低;则收益高低判断规则如下:According to the solution obtained in step 3), determine the income level of the target vehicle changing lanes, when ε>1000, the safety income is high; otherwise, it is low; when δ>800, the aging income is high, otherwise it is low; then the income level judgment rule as follows:
当G>1000*α1+800*α2时,目标车辆换道收益为高,否则为低。When G>1000*α 1 +800*α 2 , the target vehicle lane-changing profit is high, otherwise it is low.
步骤4)建议放弃换道,进入步骤6);Step 4) It is recommended to give up changing lanes and go to step 6);
步骤5)建议执行换道,进入步骤6);Step 5) It is recommended to perform a lane change, and enter step 6);
步骤6)决策结束。Step 6) The decision is over.
本发明具体应用途径很多,以上所述仅是本发明的优选实施方式,应当指出,对于本技术领域的普通技术人员来说,在不脱离本发明原理的前提下,还可以作出若干改进,这些改进也应视为本发明的保护范围。There are many specific application ways of the present invention, and the above are only the preferred embodiments of the present invention. It should be pointed out that for those skilled in the art, without departing from the principles of the present invention, several improvements can be made. These Improvements should also be considered as the protection scope of the present invention.
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