CN114973660A - Traffic decision method of model linearization iteration updating method - Google Patents

Traffic decision method of model linearization iteration updating method Download PDF

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CN114973660A
CN114973660A CN202210522052.XA CN202210522052A CN114973660A CN 114973660 A CN114973660 A CN 114973660A CN 202210522052 A CN202210522052 A CN 202210522052A CN 114973660 A CN114973660 A CN 114973660A
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CN114973660B (en
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朱煜钰
吴青娥
肖娜
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Huanghe Science and Technology College
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    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/01Detecting movement of traffic to be counted or controlled
    • G08G1/0104Measuring and analyzing of parameters relative to traffic conditions
    • G08G1/0125Traffic data processing
    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/01Detecting movement of traffic to be counted or controlled
    • G08G1/0104Measuring and analyzing of parameters relative to traffic conditions
    • G08G1/0137Measuring and analyzing of parameters relative to traffic conditions for specific applications
    • G08G1/0145Measuring and analyzing of parameters relative to traffic conditions for specific applications for active traffic flow control
    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/01Detecting movement of traffic to be counted or controlled
    • G08G1/052Detecting movement of traffic to be counted or controlled with provision for determining speed or overspeed
    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/065Traffic control systems for road vehicles by counting the vehicles in a section of the road or in a parking area, i.e. comparing incoming count with outgoing count
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T10/00Road transport of goods or passengers
    • Y02T10/10Internal combustion engine [ICE] based vehicles
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Abstract

A traffic decision method of a model linearization iteration update method relates to the technical field of traffic informatization, and comprises the following specific steps: step 1, calculating traffic state parameters; step 2, establishing a state prediction model; step 3, model iteration updating; step 4, intelligent decision making: and a regional road game algorithm is given, traffic optimization, regional scheduling and traffic jam dredging are implemented, and smooth road is ensured. The method has the advantages of good decision making effect, high processing speed and high noise resistance, and simulation results show that the decision making accuracy is up to more than 90% in a dense target environment; under the medium-density environment, the correct decision rate of the inference decision method is 91.28%, the processing speed is 0.0936s and less than 1s, theoretical ideas and decision support are provided for government construction, city planning, road length and width design and the like, and a target detection and tracking method is also provided for places and departments using video streams.

Description

Traffic decision method of model linearization iteration updating method
Technical Field
The invention relates to the technical field of traffic informatization, in particular to a traffic decision method of a model linearization iterative update method.
Background
Along with the high-speed development of economy and society, urban traffic congestion is increasingly serious, particularly, road congestion, congestion and traffic accidents occur frequently in some super-large cities, and state estimation of a highway traffic flow model is also the basis of work such as highway event detection, traffic analysis, traffic forecast and the like.
In order to solve the problems of traffic congestion and blockage, from the 60 th 20 th century, developed countries began to conduct traffic control research, and the main methods of the research are to establish a mathematical model of traffic flow to control and optimize the whole traffic system by applying operational research and optimal control theory. Although these studies have been widely used, the current traffic prediction decision method ignores the factors of randomness and complexity of traffic system and limitations of traffic flow model, resulting in poor decision effect, slow processing speed and poor noise immunity.
Disclosure of Invention
In view of the above situation, in order to overcome the defects of the prior art, the invention provides a traffic decision method of a model linearization iterative update method, which has a better decision effect, a faster processing speed and a stronger anti-noise capability compared with the prior art.
The invention provides the following technical scheme: the method comprises the following steps:
step 1, calculating traffic state parameters: useful data are excavated to carry out actual traffic condition analysis, and the traffic flow, the traffic flow density and the traffic flow speed are calculated;
step 2, establishing a state prediction model: according to the parameters calculated in the step 1, a traffic flow prediction model is established, wherein the traffic flow prediction model comprises the congestion degree and estimation modeling of the influence state of the surrounding road branches in a future period;
step 3, model iteration updating: in traffic flow analysis application, traffic flow data under various conditions are learned, and prediction model parameters are modified until requirements are met;
step 4, intelligent decision making: and a regional road game algorithm is given, traffic optimization, regional scheduling and traffic jam dredging are implemented, and smooth road is ensured.
Preferably, the iterative update in step 3 adopts an iterative update method to perform information interaction fusion on the state models of different segments, and accordingly updates the state, the state error, the measurement error, the process gain value K (K +1) and the covariance P (K +1| K) thereof.
Preferably, the method for re-initializing the status condition of the iterative update method is as follows:
is provided with
Figure RE-GDA0003721392680000021
Is the probability of the traffic flow state at time k-1,
Figure RE-GDA0003721392680000022
are known; then set pi ji =Pr{m k =m (i) |m k-1 =m (j) Is formed by m at the time k-1 k-1 M from traffic state to time k k Probability of transition of traffic state, and it is m-dependent k Traffic conditions as known conditions; the predicted probability of the traffic state at the ith time k is defined as follows:
Figure RE-GDA0003721392680000023
the above formula can be predicted by measuring from the 1 st time to the k-1 st time;
based on all measurements at time k-1, at the next time k, if the state is estimated to be state m k =m (i) Then at the current time k-1, state m k-1 =m (j) Has a probability of
Figure RE-GDA0003721392680000024
Definition of
Figure RE-GDA0003721392680000025
The following were used:
Figure RE-GDA0003721392680000026
the hybrid estimate of the states is:
Figure RE-GDA0003721392680000027
the mixed-state error covariance is:
Figure RE-GDA0003721392680000028
preferably, the specific method of state interaction of the iterative update method is as follows:
predicted state error covariance:
Figure RE-GDA0003721392680000029
corresponding measurement error covariance:
Figure RE-GDA00037213926800000210
interactive gain:
Figure RE-GDA00037213926800000211
the update state is:
Figure RE-GDA00037213926800000212
the update covariance is:
Figure RE-GDA0003721392680000031
preferably, the specific method for updating the probability of the state transition of the iterative update method is as follows:
updating state interaction, and calculating state probability to be defined as:
Figure RE-GDA0003721392680000032
wherein ,
Figure RE-GDA0003721392680000033
is defined as:
Figure RE-GDA0003721392680000034
is the measurement error of the traffic flow at the moment k of the ith segment,
Figure RE-GDA0003721392680000035
is a result of
Figure RE-GDA0003721392680000036
Error covariance of (2);
the final update of the state prediction is:
Figure RE-GDA0003721392680000037
updated final gain:
Figure RE-GDA0003721392680000038
the corresponding state error hybrid total covariance is updated as:
Figure RE-GDA0003721392680000039
preferably, the specific method for the model iterative update application is as follows: discussing a block with intersections, and only discussing roads with three equal-length road sections, namely an entrance, a driving road section and an exit, for each road in the intersections;
only the first path section inlet section and the third path section outlet section provide detection data of the traffic flow and the average speed as input quantity and output measured value of the state estimation model, and the first path section head end flow q is taken 0 Average velocity v 0 Taking the density rho of the end of the third link as the input 3 Average velocity v 3 The measured value of (d) is used as an output quantity;
according to the model equation, the expression of each section of the state traffic volume is as follows:
Figure RE-GDA00037213926800000310
Figure RE-GDA0003721392680000041
Figure RE-GDA0003721392680000042
Figure RE-GDA0003721392680000043
Figure RE-GDA0003721392680000044
Figure RE-GDA0003721392680000045
wherein ,ρ4 (k)、v 4 (k) Can be compared with the density rho of the previous time of the previous path section 3 (k-1) and velocity v 3 (k-1) approximation.
The definition is as follows:
order:
Figure RE-GDA0003721392680000046
thus, there are:
Figure RE-GDA0003721392680000051
Figure RE-GDA0003721392680000052
Figure RE-GDA0003721392680000053
Figure RE-GDA0003721392680000054
Figure RE-GDA0003721392680000055
Figure RE-GDA0003721392680000056
order:
Figure RE-GDA0003721392680000057
and the output quantity is:
Figure RE-GDA0003721392680000058
the system state equation can be expressed as:
x(k+1)=f[x(k)]+Γ[x(k)]w(k),
y(k+1)=h[x(k+1)]+v(k+1),
wherein Γ [ x (k) ] is a noise drive matrix;
is represented by the formula:
Figure RE-GDA0003721392680000061
Figure RE-GDA0003721392680000062
calculating a partial derivative matrix:
Figure RE-GDA0003721392680000063
wherein :
Figure RE-GDA0003721392680000064
Figure RE-GDA0003721392680000065
Figure RE-GDA0003721392680000066
Figure RE-GDA0003721392680000071
can utilize the recursion equation set
Figure RE-GDA0003721392680000072
Figure RE-GDA0003721392680000073
Figure RE-GDA0003721392680000074
Figure RE-GDA0003721392680000075
Figure RE-GDA0003721392680000076
Figure RE-GDA0003721392680000077
Figure RE-GDA0003721392680000078
Calculating;
the system noise covariance matrix Q (k) and the measurement noise covariance matrix R (k) are obtained by real-time calculation of measurement data generated by simulation.
Preferably, the intelligent decision in step 4 is to give the driver a prediction of the road condition through the decision system from the video at the current moment and to give a clear road near the driving road, further to indicate an exit of the driving road and an entrance of the clear road.
Preferably, the decision rule of the intelligent decision is as follows:
if "condition z is A, decision e is B",
then "if z is a ', and decision e is what should B'? ";
it is possible to define:
Figure RE-GDA0003721392680000079
that is, conclusion B 'can be synthesized by using A' and the reasoning relation from A to B;
where a is the condition set of the state, and B is the decision set based on the condition a, the above rules can be described simply as follows:
it is known that when a and B, the output is C, i.e. there is an inference rule:
IF A′ AND B′,THEN C′
how much should decision output C ' be when a ' and B '? The following steps may be used:
step (1): first, D is obtained as A × B, and D is xy =μ A (x)∧μ B (y) the D matrix is
Figure RE-GDA0003721392680000081
Step (2): writing D as a column vector DT, i.e. DT ═ D 11 ,d 12 ,…,d 1n ,d 21 ,…d mn ] T
And (3): solving a relation matrix R, wherein R is DT multiplied by C;
and (4): obtaining D ' from a ' and B ', D ═ a ' × B ';
and (5): converting D 'into a line vector DT' according to the method in the step (2);
and (6): solving fuzzy inference outputs, i.e.
Figure RE-GDA0003721392680000082
Preferably, the rule established by the intelligent decision model is as follows:
Q i (t) a vector representing the number of vehicles waiting at the ith intersection at time t, Q i (t)=[Q i,E (t),Q i,S (t),Q i,W (t),Q i,N (t)]Here Q i,E (t),Q i,S (t),Q i,W (t),Q i,N (t) respectively representing the number of vehicles waiting at the ith intersection in the east, south, west and north directions at the time t;
Q i vector representing number of vehicles threshold at i intersection, Q i =[Q i,E ,Q i,S ,Q i,W ,Q i,N ],
Here Q i,E ,Q i,S ,Q i,W ,Q i,N Threshold values respectively representing the number of waiting vehicles in different directions, wherein the threshold values can be modified according to specific conditions;
s represents the set of all possible policies or actions in a decision, where all possible policies of a decision are a finite set, where all policies are rule sets, and S is set to { S } 1 ,s 2 ,…,s n Each s i The following rules are used:
s 1 : if Q is i,W (t)>Q i,W And Q i,W (t)>Q i,W But Q is i,S (t)<Q i,S And Q i,N (t)<Q i,N Then the east-west goes straight, and after 10 seconds, the east-west double left turns go straight to 30 seconds east-westAnd the double left-turn red light is lighted;
s 2 : if Q is i,S (t)>Q i,S And Q i,N (t)>Q i,N But Q is i,E (t)<Q i,E And Q i,W (t)<Q i,W Then the south and north go straight, and after 10 seconds, the south and north double left turns turn until 30 seconds, the south and north and double left turn red lights are lighted;
s 3 : if Q is i,E (t)<Q i,E And Q i,W (t)<Q i,W And Q i,N (t)<Q i,N However Q i,S (t)>Q i,S Then vehicles turning north and left turning north east are needed to pass;
s 4 : if Q is i,E (t)>Q i,E And Q i,W (t)>Q i,W But Q is i,S (t)>Q i,S And Q i,N (t)>Q i,N While | Q i,E (t)-Q i,E |>|Q i,S (t)-Q i,S I and Q i,E (t)-Q i,E |>|Q i,N (t)-Q i,N I and Q i,W (t)-Q i,W |>|Q i,S (t)-Q i,S I and Q i,W (t)-Q i,W |>|Q i,N (t)-Q i,N I, then the east and west go straight,
or the south-north vehicle can select the nearby intersection to shunt into other smooth roads;
s 5 : if Q is i,E (t)>Q i,E And Q i,W (t)>Q i,W And Q i,N (t)>Q i,N But Q is i,S (t)<Q i,S While | Q i,E (t)-Q i,E |<|Q i,N (t)-Q i,N I and Q i,W (t)-Q i,W |<|Q i,N (t)-Q i,N I and Q i,S (t)-Q i,S |<|Q i,N (t)-Q i,N If the vehicles turn left to the south and the southwest to pass through, or the vehicles turn left to the north and the vehicles turn left to pass through the road, the vehicles can select the nearby intersection to enter other smooth roads;
……。
preferably, the decision coordination rule of the intelligent decision is: dividing the whole traffic coordination process in the region into three levels, wherein the lower level is the coordination between the intersection and the adjacent intersection; the middle layer is the coordination between regional road sections and intersections; the upper layer is the coordination between the zone segment and the adjacent zone segment;
p1, if the vehicle queue number of the intersection 1 exceeds a threshold value, sending a request to an adjacent intersection 2;
p2, responding the request by adjacent intersections, constructing a game tree, representing rule strategies by letters on branches of the game tree, representing the advantages of rule comparison by expression in the block diagram, searching the game tree according to the expression
Figure RE-GDA0003721392680000091
Finding a balance point;
p3, if the balance exists, the action strategy of the decision is the strategy when the balance is achieved, each decision controls a road junction device according to the strategy, the coordination is finished, and if the balance does not exist, a request is sent to the decision where the decision of the road junction is located;
p4, responding to the request by the regional decision, carrying out game coordination on the decision of the intersection governed by the request, seeking a balance point, and if the balance point does not exist, sending a request to the adjacent decision by the regional decision;
p5. the adjacent section decision responses to the request, game coordination is carried out, equilibrium points are sought, if no equilibrium points exist, the coordination fails, and each decision keeps the original strategy unchanged.
Compared with the prior art, the invention has the beneficial effects that:
the application range is wide: the method has the advantages of accurate prediction estimation value, high prediction speed and good evacuation congestion effect, can fully solve the problem of road congestion, provides theoretical thought and decision support for government construction, city planning, road length and width design and the like, and provides a target detection and estimation method for places and departments using video streams;
(II) high accuracy: in simulation analysis, the method has the advantages of good decision making effect, high processing speed and strong noise resistance, the decision making accuracy is up to more than 90% in a dense target environment, and the correct decision making rate is 91.28% in a medium-density environment and is 8% higher than that of the Agent method in the prior art; the processing speed is 0.0936s and less than 1 s;
and (III) saving resources: the invention can roughly estimate the maximum number of road sections between two detectors on a road, namely estimate the farthest distance between the two detectors, which has direct guiding significance for saving expenditure in the installation process of traffic equipment and reduces resource waste.
Drawings
FIG. 1: the invention provides a system construction process.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
As shown in fig. 1, the present invention provides a traffic decision method of a model linearization iterative update method, which includes the following steps:
step 1, calculating traffic state parameters: useful data are excavated to carry out actual traffic condition analysis, and the traffic flow, the traffic flow density and the traffic flow speed are calculated;
step 2, establishing a state prediction model: according to the parameters calculated in the step 1, a traffic flow prediction model is established, wherein the traffic flow prediction model comprises the congestion degree and estimation modeling of the influence state of the surrounding road branches in the future period;
step 3, model iteration updating: in the traffic flow analysis application, the traffic flow data under various conditions are learned, and the prediction model parameters are modified until the requirements are met;
step 4, intelligent decision making: and a regional road game algorithm is given, traffic optimization, regional scheduling and traffic jam dredging are implemented, and smooth road is ensured.
Specifically, the traffic flow condition parameters in step 1 are calculated: in the present embodiment, a region is discussedA certain section with crossroad is properly divided into L sections, and the length of each section is delta i In the order of hundreds of meters. The head and tail ends of the whole road are respectively provided with a traffic detector, and actual measurement data is provided as the input of a dynamic model, including traffic flow q i (k) Average velocity v i (k) In that respect The detection period T is 60 seconds, and the period is usually 10-60 seconds. Density of traffic stream ρ i (k) Is formed by the traffic flow q i (k) And average velocity v i (k) Calculated, these several parameters are calculated as follows:
q i (k)=αρ i (k)v i (k)+(1-α)ρ i+1 (k)v i+1 (k),
Figure RE-GDA0003721392680000111
Figure RE-GDA0003721392680000112
wherein :
v(ρ)=v f exp[-(1/b)(ρ/ρ cr ) b ],
the main variables in the formula have the following meanings: q. q.s i (k) The traffic flow from the i-th section to the i + 1-th section at the moment of kT, rho i (k) Is the density of the traffic stream at the kT time of the i-th section, v i (k) The average speed of the traffic flow space at the ith section kT moment. Delta i For the spatial sampling length, i.e. the segment length of the i-th segment, they are generally taken to be Δ for simplicity. r is i (k) Is the inlet flowrate, s, at the time of kT in the i-th section i (k) The outlet flowrate at time kT of the ith segment.
The parameter in the equation is v f Representing the free running speed of the traffic flow, namely the maximum speed of the current traffic flow; rho cr The density of the traffic flow when the traffic flow reaches the maximum is represented as the critical density; b, tau, gamma, xi, lambda, alpha and the like are adjustment coefficients of the equation.
The formula v (ρ) ═ v f exp[-(1/b)(ρ/ρ cr ) b ]Is a steady-state traffic flow model, describes steady-state traffic intersectionThe speed of the through flow is closely related.
Specifically, step 2, establishing a state prediction model: the following nonlinear system is established for the condition of the traffic flow at the moment k and the measured value thereof:
x(k+1)=f[x(k)]+Γ[x(k)]w(k),
y(k+1)=h[x(k+1)]+v(k+1),
wherein w (k), v (k) are zero mean noise vectors, and
E[w(k)]=0,E[w(k)w′(j)]=Q(k)δ kj
E[v(k)]=0,E[v(k)v′(j)]=S(k)δ kj
q (k) is the system noise variance matrix, S (k) measures the noise matrix, and Γ [ x (k) ] is the noise driving matrix.
Initial state estimation was performed and measured for values as:
Figure RE-GDA0003721392680000121
the corresponding state covariance is
Figure RE-GDA0003721392680000122
The error of one measurement is:
Figure RE-GDA0003721392680000123
the corresponding measurement error covariance is:
Figure RE-GDA0003721392680000124
the obtained interaction gain is:
Figure RE-GDA0003721392680000125
the state estimation is updated once as follows:
Figure RE-GDA0003721392680000126
the primary state covariance update is:
Figure RE-GDA0003721392680000131
wherein
Figure RE-GDA0003721392680000132
Figure RE-GDA0003721392680000133
Given the initial filtered value
Figure RE-GDA0003721392680000134
And after the initial filtering covariance matrix P (0), the calculation order of the recursion algorithm is:
Figure RE-GDA0003721392680000135
p (0) → P (1|0) and
Figure RE-GDA0003721392680000136
and
Figure RE-GDA0003721392680000137
and P (2|1) → … …, whereby the system state can be estimated by stepwise calculation. Obviously, the recurrence equations are all to be implemented online.
In order to make the prediction model more accurate in application, the state of the traffic flow model is continuously updated by utilizing the state interaction of each segment, a corresponding partial derivative matrix in a recurrence equation needs to be calculated, an expression which is consistent with the recurrence equation is obtained, and then online recurrence calculation can be carried out, and a system state estimation value at each moment is obtained.
Specifically, in the step 3, an iterative update method is adopted for iterative update of the model, information interaction fusion is performed on different section state models, and accordingly, the state error, the measurement error, the process gain value K (K +1) and the covariance P (K +1| K) are updated.
First, linearization is performed in the vicinity of an interest point, which is a state of a moving target at the time of the i-th stage k in this embodiment, and equations x (k +1) ═ f [ x (k)) ] + Γ [ x (k)) ] w (k) and y (k +1) ═ h [ x (k +1) ] + v (k +1) are linearized as follows:
x i (k+1)=F i (k)x i (k)+u i (k)+G i (k)w i (k),
y i (k)=H i (k)x i (k)+v i (k)。
and performing state updating on different road sections, wherein the updating method comprises the following steps:
(1) and (3) state condition reinitialization of an iterative updating method:
is provided with
Figure RE-GDA0003721392680000141
Is the probability of the traffic flow state at time k-1,
Figure RE-GDA0003721392680000142
are known; then set pi ji =Pr{m k =m (i) |m k-1 =m (j) Is formed by m at the time k-1 k-1 M from traffic state to time k k Probability of transition of traffic state, and it is m-dependent k Traffic status as a known condition; the predicted probability of the traffic state at the ith time k is defined as follows:
Figure RE-GDA0003721392680000143
the above formula can be predicted by measuring from the 1 st time to the k-1 st time;
based on the measurements at all times k-1,at the next time k, if the state is estimated to be state m k =m (i) Then at the current time k-1, state m k-1 =m (j) Has a probability of
Figure RE-GDA0003721392680000144
Definition of
Figure RE-GDA0003721392680000145
The following were used:
Figure RE-GDA0003721392680000146
the hybrid estimate of the states is:
Figure RE-GDA0003721392680000147
the mixed-state error covariance is:
Figure RE-GDA0003721392680000148
(2) the specific method of the state interaction of the iterative update method comprises the following steps:
predicted state error covariance:
Figure RE-GDA0003721392680000149
corresponding measurement error covariance:
Figure RE-GDA00037213926800001410
interactive gain:
Figure RE-GDA00037213926800001411
the update state is:
Figure RE-GDA00037213926800001412
the updated covariance is:
Figure RE-GDA0003721392680000151
(3) the specific method for updating the state transition probability of the iterative update method comprises the following steps:
updating state interaction, and calculating state probability to be defined as:
Figure RE-GDA0003721392680000152
wherein ,
Figure RE-GDA0003721392680000153
is defined as:
Figure RE-GDA0003721392680000154
is the measurement error of the traffic flow at the moment k of the ith segment,
Figure RE-GDA0003721392680000155
is a result of
Figure RE-GDA0003721392680000156
Error covariance of (2);
the final update of the state prediction is:
Figure RE-GDA0003721392680000157
updated final gain:
Figure RE-GDA0003721392680000158
the corresponding state error hybrid total covariance updates are:
Figure RE-GDA0003721392680000159
the specific method for model iteration update application comprises the following steps: discussing a block with intersections, and only discussing roads with three equal-length road sections, namely an entrance, a driving road section and an exit, for each road in the intersections;
only the first path section inlet section and the third path section outlet section provide detection data of the traffic flow and the average speed as input quantity and output measured value of the state estimation model, and the first path section head end flow q is taken 0 Average velocity v 0 Taking the density rho of the end of the third link as the input 3 Average velocity v 3 The measured value of (d) is used as an output quantity;
according to the model equation, the expression of the state traffic volume of each section is as follows:
Figure RE-GDA00037213926800001510
Figure RE-GDA00037213926800001511
Figure RE-GDA0003721392680000161
Figure RE-GDA0003721392680000162
Figure RE-GDA0003721392680000163
Figure RE-GDA0003721392680000164
wherein ,ρ4 (k)、v 4 (k) Can be compared with the density rho of the previous time of the previous path section 3 (k-1) and velocity v 3 (k-1) approximation.
The definition is as follows:
order:
Figure RE-GDA0003721392680000165
thus, there are:
Figure RE-GDA0003721392680000166
Figure RE-GDA0003721392680000171
Figure RE-GDA0003721392680000172
Figure RE-GDA0003721392680000173
Figure RE-GDA0003721392680000174
Figure RE-GDA0003721392680000175
order:
Figure RE-GDA0003721392680000176
and the output quantity is:
Figure RE-GDA0003721392680000177
the system state equation can be expressed as:
x(k+1)=f[x(k)]+Γ[x(k)]w(k),
y(k+1)=h[x(k+1)]+v(k+1),
wherein Γ [ x (k) ] is a noise drive matrix;
is represented by the formula:
Figure RE-GDA0003721392680000181
Figure RE-GDA0003721392680000182
calculating a partial derivative matrix:
Figure RE-GDA0003721392680000183
wherein :
Figure RE-GDA0003721392680000184
Figure RE-GDA0003721392680000185
Figure RE-GDA0003721392680000186
Figure RE-GDA0003721392680000191
can utilize the recursion equation set
Figure RE-GDA0003721392680000192
Figure RE-GDA0003721392680000193
Figure RE-GDA0003721392680000194
Figure RE-GDA0003721392680000195
Figure RE-GDA0003721392680000196
Figure RE-GDA0003721392680000197
Figure RE-GDA0003721392680000198
Calculating;
the system noise covariance matrix Q (k) and the measurement noise covariance matrix R (k) are obtained by real-time calculation of measurement data generated by simulation.
Specifically, the intelligent decision in step 4 is to give a prediction of the road condition of the driver and give a clear road near the driving road by the decision system provided by the embodiment from the video at the current moment, and further indicate an exit of the driving road and an entrance of the clear road. In the design of the road traffic decision system, the traffic state of each road section in the road must be used as feedback information for determining the control quantity such as speed limit, entrance regulation rate, information distribution and the like.
The decision rule of the intelligent decision is as follows:
if "condition z is A, decision e is B",
then "if z is a ', and decision e is what should B'? ";
it is possible to define:
Figure RE-GDA0003721392680000199
that is, conclusion B 'can be synthesized by using A' and the reasoning relation from A to B;
where A is the condition set of the state, and B is the decision set based on condition A, the above rules can be described simply as follows:
it is known that when a and B, the output is C, i.e. there is an inference rule:
IF A′ AND B′,THEN C′
how much should decision output C ' be when a ' and B '? The following steps may be used:
step (1): first, D is obtained as A × B, and D is xy =μ A (x)∧μ B (y) the D matrix is
Figure RE-GDA0003721392680000201
Step (2): writing D as a column vector DT, i.e. DT ═ D 11 ,d 12 ,…,d 1n ,d 21 ,…d mn ] T
And (3): solving a relation matrix R, wherein R is DT multiplied by C;
and (4): obtaining D ' from a ' and B ', D ═ a ' × B ';
and (5): converting D 'into a line vector DT' according to the method in the step (2);
and (6): solving fuzzy inference outputs, i.e.
Figure RE-GDA0003721392680000202
The rules established by the intelligent decision model are as follows:
Q i (t) a vector representing the number of vehicles waiting at the ith intersection at time t, Q i (t)=[Q i,E (t),Q i,S (t),Q i,W (t),Q i,N (t)]Here Q i,E (t),Q i,S (t),Q i,W (t),Q i,N (t) respectively representing the number of vehicles waiting at the ith intersection in the east, south, west and north directions at the time t;
Q i vector representing number of vehicles threshold at i intersection, Q i =[Q i,E ,Q i,S ,Q i,W ,Q i,N ],
Here Q i,E ,Q i,S ,Q i,W ,Q i,N Threshold values respectively representing the number of waiting vehicles in different directions, wherein the threshold values can be modified according to specific conditions;
s represents the set of all possible policies or actions in a decision, where all possible policies of a decision are a finite set, where all policies are rule sets, and S is set to { S } 1 ,s 2 ,…,s n Each s i The following rules are used:
s 1 : if Q is i,W (t)>Q i,W And Q i,W (t)>Q i,W However Q i,S (t)<Q i,S And Q i,N (t)<Q i,N Then the east-west goes straight, after 10 seconds, the east-west double left turns go 30 seconds, and the double left turn red lights are on;
s 2 : if Q is i,S (t)>Q i,S And Q i,N (t)>Q i,N But Q is i,E (t)<Q i,E And Q i,W (t)<Q i,W Then the south and north go straight, and after 10 seconds, the south and north double left turns turn until 30 seconds, namely the south and north double left turn red lights are lighted;
s 3 : if Q is i,E (t)<Q i,E And Q i,W (t)<Q i,W And Q i,N (t)<Q i,N However Q i,S (t)>Q i,S Then vehicles turning north and left turning north east are needed to pass;
s 4 : if Q i,E (t)>Q i,E And Q i,W (t)>Q i,W But Q is i,S (t)>Q i,S And Q i,N (t)>Q i,N While | Q i,E (t)-Q i,E |>|Q i,S (t)-Q i,S I and Q i,E (t)-Q i,E |>|Q i,N (t)-Q i,N I and Q i,W (t)-Q i,W |>|Q i,S (t)-Q i,S I and Q i,W (t)-Q i,W |>|Q i,N (t)-Q i,N I, then thingsThe straight-going is carried out,
or the south and north vehicles can select the nearby intersection to shunt into other smooth roads;
s 5 : if Q is i,E (t)>Q i,E And Q i,W (t)>Q i,W And Q i,N (t)>Q i,N But Q is i,S (t)<Q i,S While | Q i,E (t)-Q i,E |<|Q i,N (t)-Q i,N I and Q i,W (t)-Q i,W |<|Q i,N (t)-Q i,N I and Q i,S (t)-Q i,S |<|Q i,N (t)-Q i,N If the vehicles turn left to the south and the southwest, or the vehicles turning to the north and the east can select the nearby intersection to shunt into other smooth roads;
……。
these rules above are common: since there are 2 cases in which the traffic flow in each direction is compared with the threshold value, four directions are considered simultaneously, and the total is 2 4 Species, like s 1 、s 2 、s 3 A total of 6 of these cases, then 2 remain 4 -6-10 cases need to consider the difference between the traffic flow in each direction and the threshold; however, there are 4 differences, each of which has 3 cases compared with the 3 differences in the other directions, and thus there are 3 × 10 ═ 30 cases, and 30+6 ═ 36 cases, so that there are 36 rules defined, i.e. the set S has 36 elements S i , i=1,2,…,36。
At a certain intersection at a certain moment, if a certain rule s i The rule is optimal compared with any rule, so that the road is more smooth, namely the crossing dredging time is short, and then the rule s i Winning game and marking as
Figure RE-GDA0003721392680000211
The coordination model is a game algorithm as follows.
A game with n rules is described as G ═ S, U, where S is a rule set and U is the advantage of comparing two rules, e.g., making its roads more clear, or the intersection clearing time is short, or congestion is cleared, etc. If there are the beta advantages that exist,then set U to { U ═ U 1 ,u 2 ,…,u β }. If the problem is strategic
Figure RE-GDA0003721392680000221
Is a Nash equalization, it must satisfy
Figure RE-GDA0003721392680000222
in the formula :
Figure RE-GDA0003721392680000223
strategy representing the ith rule selection;
Figure RE-GDA0003721392680000224
a policy representing all rules except i; u. of j Indicating the jth advantage. Or the data are sorted according to the advantages, and the balance under Nash balance can be obtained.
The decision coordination rule of the intelligent decision is as follows: dividing the whole traffic coordination process in the region into three levels, wherein the lower level is the coordination between the intersection and the adjacent intersection; the middle layer is the coordination between regional road sections and intersections; the upper layer is the coordination between the zone segment and its adjacent zone segments;
p1, if the vehicle queue number of the intersection 1 exceeds a threshold value, sending a request to an adjacent intersection 2;
p2, responding the request by adjacent intersections, constructing a game tree, representing rule strategies by letters on branches of the game tree, representing the advantages of rule comparison by expression in the block diagram, searching the game tree according to the expression
Figure RE-GDA0003721392680000225
Finding a balance point;
p3, if the balance exists, the action strategy of the decision is the strategy when the balance is achieved, each decision controls a road junction device according to the strategy, the coordination is finished, and if the balance does not exist, a request is sent to the decision where the decision of the road junction is located;
p4, responding to the request by the regional decision, carrying out game coordination on the decision of the intersection governed by the request, seeking a balance point, and if the balance point does not exist, sending a request to the adjacent decision by the regional decision;
p5. the adjacent section decision responses to the request, carries on game coordination, seeks the equilibrium point, if the equilibrium point does not exist, the coordination fails, each decision keeps the original strategy unchanged.
In simulation analysis, the decision method provided by the invention is better than the existing Agent method, the invention not only has better decision effect and faster processing speed, but also has stronger noise-resistant capability, the decision accuracy rate is up to more than 90% under the dense target environment, and the correct decision rate of the inference decision method is 91.28% under the medium-density environment and is 8% higher than that of the existing Agent method; the processing speed was 0.0936s and less than 1 s.
The invention is applied to roads of three equal-length road sections at each intersection, each road of the intersection is provided with an entrance road, a driving road and an exit road, the prediction of the traffic flow density and the traffic flow speed of the roads of the three road sections is obtained by a prediction model, a method of combining quantification and qualification is adopted, the comprehensive evaluation is carried out, and according to the actual control requirement and the setting of sampling time, the number of the state quantity which can be accurately estimated can be determined by the maximum time and the estimation precision required by calculating the state data once under a certain condition, so that the maximum road section number between two detectors on the road can be roughly estimated, the maximum distance between the two detectors can be actually estimated, and the method has direct guiding significance on the expense saving in the installation process of traffic equipment and reduces the resource waste.
In conclusion, the method has the advantages of accurate prediction estimation value, high prediction speed and good evacuation congestion effect, solves the problem of road congestion, provides theoretical ideas and decision support for government construction, city planning, road length and width design and the like, and provides a target detection and tracking method for places and departments using video streams.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art should be able to cover the technical scope of the present invention by equivalent replacement or change according to the technical solution and the inventive concept of the present invention within the technical scope of the present invention.

Claims (10)

1. A traffic decision method of a model linearization iteration update method is characterized by comprising the following steps:
step 1, calculating traffic state parameters: useful data are excavated to carry out actual traffic condition analysis, and the traffic flow, the traffic flow density and the traffic flow speed are calculated;
step 2, establishing a state prediction model: according to the parameters calculated in the step 1, a traffic flow prediction model is established, wherein the traffic flow prediction model comprises the congestion degree and estimation modeling of the influence state of the surrounding road branches in the future period;
step 3, model iteration updating: in traffic flow analysis application, traffic flow data under various conditions are learned, and prediction model parameters are modified until requirements are met;
step 4, intelligent decision making: and a regional road game algorithm is given, traffic optimization, regional scheduling and traffic jam dredging are implemented, and smooth road is ensured.
2. The traffic decision method of the model linearization iterative update method as claimed in claim 1, wherein the model iterative update in step 3 adopts the iterative update method to perform information interaction fusion on different section state models, and accordingly, the state error, the measurement error, the process gain value K (K +1) and the covariance P (K +1| K) thereof are updated.
3. The traffic decision method of the model linearization iterative update method as claimed in claim 2, wherein the method for reinitializing the status condition of the iterative update method is as follows:
is provided with
Figure FDA0003641889430000011
Is the probability of the traffic flow state at time k-1,
Figure FDA0003641889430000012
are known; then set pi ji =Pr{m k =m (i) |m k-1 =m (j) Is formed by m at the time k-1 k-1 M from traffic state to time k k Probability of transition of traffic state, and it is m-dependent k Traffic conditions as known conditions; the predicted probability of the traffic state at the ith time k is defined as follows:
Figure FDA0003641889430000013
the above formula can be predicted by measuring from the 1 st time to the k-1 st time;
based on all measurements at time k-1, at the next time k, if the state is estimated to be state m k =m (i) Then at the current time k-1, state m k-1 =m (j) Has a probability of
Figure FDA0003641889430000014
Definition of
Figure FDA0003641889430000015
The following:
Figure FDA0003641889430000016
the hybrid estimate of the states is:
Figure FDA0003641889430000021
the mixed-state error covariance is:
Figure FDA0003641889430000022
4. the traffic decision method of the model linearization iterative update method according to claim 2, wherein the specific method of the state interaction of the iterative update method is as follows:
predicted state error covariance:
Figure FDA0003641889430000023
corresponding measurement error covariance:
Figure FDA0003641889430000024
interactive gain:
Figure FDA0003641889430000025
the update state is:
Figure FDA0003641889430000026
the updated covariance is:
Figure FDA0003641889430000027
5. the traffic decision method of the model linearization iterative update method as claimed in claim 2, wherein the specific method for updating the probability of the state transition of the iterative update method is:
updating state interaction, and calculating state probability to be defined as:
Figure FDA0003641889430000028
wherein ,
Figure FDA0003641889430000029
is defined as:
Figure FDA00036418894300000210
Figure FDA00036418894300000211
is the measurement error of the traffic flow at the moment k of the ith segment,
Figure FDA00036418894300000212
is a result of
Figure FDA00036418894300000213
Error covariance of (2);
the final update of the state prediction is:
Figure FDA00036418894300000214
updated final gain:
Figure FDA0003641889430000031
the corresponding state error hybrid total covariance updates are:
Figure FDA0003641889430000032
6. the traffic decision method of the model linearization iterative update method according to claim 1, wherein the specific method for applying the model iterative update is as follows: discussing a block with intersections, and only discussing roads with three equal-length road sections, namely an entrance, a driving road section and an exit, for each road in the intersections;
only the inlet section of the first path section and the outlet section of the third path section provide detection data of the traffic flow and the average speed as input quantities of the state estimation modelAnd outputting the measured value, and taking the head end flow q of the first path section 0 Average velocity v 0 Taking the density rho of the end of the third link as the input value 3 Average velocity v 3 The measured value of (d) is used as an output quantity;
according to the model equation, the expression of the state traffic volume of each section is as follows:
Figure FDA0003641889430000033
Figure FDA0003641889430000034
Figure FDA0003641889430000035
Figure FDA0003641889430000036
Figure FDA0003641889430000037
Figure FDA0003641889430000041
wherein ,ρ4 (k)、v 4 (k) Can be compared with the density rho of the previous time of the previous path section 3 (k-1) and velocity v 3 (k-1) approximation.
The definition is as follows:
order:
Figure FDA0003641889430000042
thus, there are:
Figure FDA0003641889430000043
Figure FDA0003641889430000044
Figure FDA0003641889430000045
Figure FDA0003641889430000046
Figure FDA0003641889430000051
Figure FDA0003641889430000052
order:
Figure FDA0003641889430000053
and the output quantity is:
Figure FDA0003641889430000054
the system state equation can be expressed as:
x(k+1)=f[x(k)]+Γ[x(k)]w(k),
y(k+1)=h[x(k+1)]+v(k+1),
wherein Γ [ x (k) ] is a noise driving matrix;
is represented by the formula:
Figure FDA0003641889430000055
Figure FDA0003641889430000061
calculating a partial derivative matrix:
Figure FDA0003641889430000062
wherein :
Figure FDA0003641889430000063
Figure FDA0003641889430000064
Figure FDA0003641889430000065
Figure FDA0003641889430000066
can utilize the recursion equation set
Figure FDA0003641889430000067
Figure FDA0003641889430000068
Figure FDA0003641889430000069
Figure FDA00036418894300000610
Figure FDA0003641889430000071
Figure FDA0003641889430000072
Figure FDA0003641889430000073
Calculating;
the system noise covariance matrix Q (k) and the measurement noise covariance matrix R (k) are obtained by real-time calculation of measurement data generated by simulation.
7. The traffic decision method according to claim 1, wherein the intelligent decision in step 4 is based on the current video, and the decision system gives the driver a prediction of road conditions and a clear road around the driving road, and further indicates an exit of the driving road and an entrance of the clear road.
8. The traffic decision method of the model linearization iterative update method as claimed in claim 7, wherein the decision rule of the intelligent decision is as follows:
if "condition z is A, decision e is B",
then "if z is a ', and decision e is what should B'? ";
it is possible to define:
Figure FDA0003641889430000074
that is, conclusion B 'can be obtained by synthesizing A' and the reasoning relationship from A to B;
where a is the condition set of the state, and B is the decision set based on the condition a, the above rules can be described simply as follows:
it is known that when a and B, the output is C, i.e. there is an inference rule:
IF A′ AND B′,THEN C′
how much should decision output C ' be when a ' and B '? The following steps may be used:
step (1): first, D is obtained as A × B, and D is xy =μ A (x)^μ B (y) obtaining a D matrix of
Figure FDA0003641889430000081
Step (2): writing D as a column vector DT, i.e. DT ═ D 11 ,d 12 ,…,d 1n ,d 21 ,…d mn ] T
And (3): solving a relation matrix R, wherein R is DT multiplied by C;
and (4): obtaining D ' from a ' and B ', D ═ a ' × B ';
and (5): converting D 'into a line vector DT' according to the method in the step (2);
and (6): finding fuzzy inference outputs, i.e.
Figure FDA0003641889430000082
9. The traffic decision method of the model linearization iterative update method as claimed in claim 7, wherein the rule established by the intelligent decision model is:
Q i (t) a vector representing the number of vehicles waiting at the ith intersection at time t, Q i (t)=[Q i,E (t),Q i,S (t),Q i,W (t),Q i,N (t)]Here Q i,E (t),Q i,S (t),Q i,W (t),Q i,N (t) respectively representing the number of vehicles waiting at the ith intersection in the east, south, west and north directions at the time t;
Q i vector representing number of vehicles threshold at i intersection, Q i =[Q i,E ,Q i,S ,Q i,W ,Q i,N ]Here Q i,E ,Q i,S ,Q i,W ,Q i,N Threshold values respectively representing the number of waiting vehicles in different directions, wherein the threshold values can be modified according to specific conditions;
s represents the set of all possible policies or actions in a decision, where all possible policies of a decision are a finite set, where all policies are rule sets, and S is set to { S } 1 ,s 2 ,…,s n Each s i The following rules are used:
s 1 : if Q is i,W (t)>Q i,W And Q i,W (t)>Q i,W But Q is i,S (t)<Q i,S And Q i,N (t)<Q i,N Then the east-west goes straight, after 10 seconds, the east-west double left turns go 30 seconds, and the double left turn red lights are on;
s 2 : if Q is i,S (t)>Q i,S And Q i,N (t)>Q i,N But Q is i,E (t)<Q i,E And Q i,W (t)<Q i,W Then the south and north go straight, and after 10 seconds, the south and north double left turns turn until 30 seconds, the south and north and double left turn red lights are lighted;
s 3 : if Q i,E (t)<Q i,E And Q i,W (t)<Q i,W And Q i,N (t)<Q i,N But Q is i,S (t)>Q i,S Then vehicles turning north and left turning north east are needed to pass;
s 4 : if Q is i,E (t)>Q i,E And Q i,W (t)>Q i,W But Q is i,S (t)>Q i,S And Q i,N (t)>Q i,N While | Q i,E (t)-Q i,E |>|Q i,S (t)-Q i,S I and Q i,E (t)-Q i,E |>|Q i,N (t)-Q i,N I and Q i,W (t)-Q i,W |>|Q i,S (t)-Q i,S I and Q i,W (t)-Q i,W |>|Q i,N (t)-Q i,N If yes, then the vehicle goes straight, or the vehicles in the south and north can select the nearby intersection to shunt into other smooth roads;
s 5 : if Q is i,E (t)>Q i,E And Q i,W (t)>Q i,W And Q i,N (t)>Q i,N But Q is i,S (t)<Q i,S While | Q i,E (t)-Q i,E |<|Q i,N (t)-Q i,N I and Q i,W (t)-Q i,W |<|Q i,N (t)-Q i,N I and Q i,S (t)-Q i,S |<|Q i,N (t)-Q i,N If the vehicles turn left to the south and the southwest to pass through, or the vehicles turn left to the north and the vehicles turn left to pass through the road, the vehicles can select the nearby intersection to enter other smooth roads;
……。
10. the traffic decision method of the model linearization iterative update method according to any one of claims 1, 7, 8 and 9, wherein the decision coordination rule of the intelligent decision is: the whole traffic coordination process in the region is divided into three levels, wherein the lower level is the coordination between the intersection and the adjacent intersection; the middle layer is the coordination between regional road sections and intersections; the upper layer is the coordination between the zone segment and its adjacent zone segments;
p1, if the vehicle queue number of the intersection 1 exceeds a threshold value, sending a request to an adjacent intersection 2;
p2, responding the request by adjacent intersections, constructing a game tree, representing rule strategies by letters on branches of the game tree, representing the advantages of rule comparison by expression in the block diagram, searching the game tree according to the expression
Figure FDA0003641889430000091
Figure FDA0003641889430000092
Finding a balance point;
p3, if the balance exists, the action strategy of the decision is the strategy when the balance is achieved, each decision controls a road junction device according to the strategy, the coordination is finished, and if the balance does not exist, a request is sent to the decision where the decision of the road junction is located;
p4, responding to the request by the regional decision, carrying out game coordination on the decision of the intersection governed by the request, seeking a balance point, and if the balance point does not exist, sending a request to the adjacent decision by the regional decision;
p5. the adjacent section decision responses to the request, carries on game coordination, seeks the equilibrium point, if the equilibrium point does not exist, the coordination fails, each decision keeps the original strategy unchanged.
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