CN108583576B - Economic vehicle speed forward-looking optimization method - Google Patents
Economic vehicle speed forward-looking optimization method Download PDFInfo
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Abstract
The invention discloses an economical vehicle speed forward-looking optimization method, which comprises the following steps: firstly, designing a global speed optimization control scheme by establishing an engine fuel consumption model of a vehicle and a longitudinal dynamics model of the vehicle, and obtaining an optimized speed curve of the vehicle by taking fuel economy and vehicle transportation efficiency as constraint conditions based on a distribution estimation algorithm (EDA); then, a local speed optimization control scheme is designed based on Model Predictive Control (MPC), and the obtained optimized speed curve is continuously subjected to real-time rolling optimization by taking fuel economy, vehicle transportation efficiency and a safety distance between the vehicle and a front vehicle as constraint conditions. The method can improve the fuel economy of the vehicle; the method uses a distribution estimation algorithm, so that the optimization process can be accelerated; the method can optimize the speed of the vehicle in real time according to the current traffic condition.
Description
Technical Field
The invention relates to a method for improving the fuel economy of vehicles on a highway, in particular to an economical vehicle speed forward-looking optimization method.
Background
With the rapid development of the automobile industry, the number of automobiles increases at a high speed, so that the energy consumption is directly increased, and simultaneously, a large amount of harmful tail gas and particulate matters are discharged, so that the automobile industry is facing huge energy conservation and emission reduction pressure. Much research has been devoted to reducing the fuel consumption of vehicles and improving their fuel economy. In order to further reduce the fuel consumption of the highway vehicles, the speed of the highway vehicles is optimized by the invention.
Currently, much research has been done on the problem of optimizing vehicle speed with the goal of improving vehicle fuel economy. In early optimization control, an optimized speed curve is obtained by establishing a vehicle model to solve an objective function, and the objective function can be solved by methods such as dynamic programming and quadratic programming, but because the vehicle is a complex nonlinear system and has complex constraints, the calculation time is long, and the vehicle speed cannot be rapidly optimized in real time in the face of real-time changing traffic conditions. In order to optimize the vehicle speed in real time in a short time, many control methods aim to combine model predictive control with various optimization algorithms, but most of the control methods are optimized by taking time as a step unit, and when traffic is congested, a controller is still repeatedly performing ineffective optimization and simultaneously influencing the subsequent optimization period. The vehicles are mostly used for various transports, the driving routes and the starting points of the driving are mostly determined, and therefore, a two-stage controller with displacement as a step unit is proposed: before the vehicle starts, a first stage obtains an optimized speed curve based on a distribution estimation algorithm (EDA); in the driving process of the vehicle, the second stage optimizes the speed in real time based on a model predictive control theory (MPC) according to the real-time change of the traffic condition, thereby improving the fuel economy of the vehicle.
Disclosure of Invention
In order to solve the problems that the existing speed optimization controller is long in calculation time and cannot achieve real-time optimization, the invention provides a vehicle speed optimization method, which can improve the fuel economy of a vehicle, accelerate the optimization process and shorten the calculation time.
In order to achieve the purpose, the invention adopts the following technical scheme:
step one, establishing an engine fuel consumption model of a vehicle: establishing an engine fuel consumption model based on a Willans line model of the engine, wherein the engine fuel consumption model is used for expressing the relation between the fuel consumption rate and the engine torque and the engine rotating speed;
step two, establishing a longitudinal dynamic model of the vehicle;
designing a global speed optimization controller based on a distribution estimation algorithm;
and fourthly, designing a local speed optimization controller based on a model predictive control theory.
Preferably, the fuel consumption model of the engine established in the first step is as follows:
b=f(Te,n0)=(α1n0+α2)Te+β1n0+β2(1)
wherein the content of the first and second substances,b is the fuel consumption rate; t iseEngine torque in units of N ∙ m; n is0α is the engine speed in r/min1、α2、β1、β2Is a constant determined from engine specific performance parameters.
Since the actual output of the vehicle is the vehicle speed while the vehicle is running, the engine speed n is replaced by the vehicle speed v0The engine fuel consumption model can be obtained as follows:
wherein igIs the transmission ratio of the transmission; i.e. i0The transmission ratio of the main speed reducer is set; r is the wheel radius in m; and v is the running speed of the vehicle and has the unit of km/h.
Preferably, the vehicle longitudinal dynamic model established in the second step is:
wherein M is the mass of the vehicle in kg ηtThe transmission efficiency of the whole vehicle transmission system is improved; cDIs the air resistance coefficient; a is the frontal area in m2(ii) a Rho is the air density in kg/m3(ii) a g is the acceleration of gravity in m/s2(ii) a f is a rolling resistance coefficient; θ (t) is road grade in rad; fbAnd (t) is the magnitude of braking force.
Preferably, the objective function of the step three global speed optimization controller is as follows:
s.t.
Temin≤Te(k)≤Temax (5)
0≤Fb(k)≤Fbmax (6)
vlimitmin≤v(k)≤vlimitmax (7)
v(0)=v(n)=0 (8)
where n is the nth (last) sampling location; k represents the kth sampling position; Δ tkDriving time of the vehicle from the sampling position k to k + 1;is the upper limit value of the velocity at the sampling position k + 1; q. q.s1、q2Is a weighting factor.
The equation (4) is an objective function of the global speed optimization controller, the first term on the right of the equation represents the fuel economy, and the second term on the right of the equation represents the vehicle transportation efficiency;
the equation (5) is a constraint on the engine torque during the optimization, Temin and Temax is the minimum and maximum values that the engine torque can reach, respectively, in units of N ∙ m;
the said equation (6) is the constraint of braking force during braking, Fbmax is the maximum braking force that the vehicle can achieve, in units of N;
the expression (7) is a constraint on the speed of the vehicle during running, vlimitmin and vlimitmax represents a lower limit value and an upper limit value of a running speed specified by a road regulation at the sampling position k respectively;
equation (8) is a constraint on the initial speed and the final speed of the vehicle over the entire trip, both the initial speed and the final speed being 0.
In the solving process of the objective function, a distribution estimation algorithm is adopted.
Preferably, the objective function of the step four local area speed optimization controller is:
s.t.
Temin≤Te(l)≤Temax (10)
0≤Fb(l)≤Fbmax (11)
vlimitmin≤v(l)≤vlimitmax (12)
wherein m is the step length of local optimization within the kth step length of global optimization; v. of*(l) Taking the smaller one of the vehicle speed at the position l and the vehicle speed limit value at the position l obtained by global optimization; ssafe(l) Is a safe distance from the front vehicle; s*(l) Is the estimated inter-vehicle distance from the preceding vehicle. The terms 1-3 on the right side of the equation of equation (9) represent fuel economy, vehicle transportation efficiency, and safe distance to the leading vehicle, respectively.
The constraints of the expressions (10) to (12) are the same as the constraints of the expressions (5) to (7).
The method adopts a model prediction control theory when the rolling optimization is carried out on the fuel economy, the vehicle transportation efficiency and the safety distance between the vehicle and the front vehicle; in the process of solving the objective function, a distribution estimation algorithm is adopted.
Compared with the prior art, the invention has the beneficial effects that:
1. the invention adopts staged speed optimization control, the global optimization of the first stage starts to be optimized before the vehicle starts, the local optimization control of the second stage has smaller sampling distance, can carry out real-time optimization on the speed aiming at the change of the traffic condition, has better real-time performance, and can improve the fuel economy of the vehicle.
2. When the objective function of the controller is solved, the invention uses a distribution estimation algorithm: a probability model is established by sampling and selecting excellent samples to generate a new population for solving, so that the calculation time is greatly shortened.
3. When the controller designed by the invention is used for sampling, the step length units are all displacement rather than time, so that an invalid optimization period caused by traffic congestion is greatly eliminated, and the optimization process is accelerated.
Drawings
FIG. 1 is a schematic diagram of an overall speed optimization controller;
FIG. 2 is a schematic drawing of a sample;
FIG. 3 is a flow chart of a solution of a distribution estimation algorithm;
fig. 4 is a schematic diagram of a speed curve.
Detailed Description
The invention is further explained below with reference to the drawings.
FIG. 1 illustrates an overall speed optimizer that takes a vehicle dynamics model, an engine model, and predicted traffic conditions as inputs and obtains a global optimized speed curve based on a distributed estimation algorithm; the local area speed optimization controller takes the obtained speed optimization curve and real-time traffic conditions as input, and roll optimizes the fuel economy of the vehicle, the transportation efficiency of the vehicle and the driving safety based on the model prediction control theory.
The invention provides a vehicle speed optimization method which mainly comprises the following steps:
step one, establishing an engine fuel consumption model of a vehicle: based on a Willans line model of the engine, an engine fuel consumption model is established to express the relationship between the fuel consumption rate, the engine torque and the engine speed.
The model of engine fuel consumption is:
b=f(Te,n0)=(α1n0+α2)Te+β1n0+β2(1)
wherein b is the fuel consumption rate; t iseEngine torque in units of N ∙ m; n is0α is the engine speed in r/min1、α2、β1、β2Is a constant determined from engine specific performance parameters.
Since the actual output of the vehicle is the vehicle speed while the vehicle is running, the engine speed n is replaced by the vehicle speed v0The engine fuel consumption model can be obtained as follows:
wherein igIs the transmission ratio of the transmission; i.e. i0The transmission ratio of the main speed reducer is set; r is the wheel radius in m; v is the vehicle runningAnd the driving speed is km/h.
Step two, establishing a longitudinal dynamic model of the vehicle: in order to facilitate the analysis and control of a vehicle system, the axle load transfer of the front axle and the rear axle of the automobile is ignored, a vehicle longitudinal dynamic model is established according to Newton's second law, and the longitudinal dynamic equation is as follows:
wherein, FtIs the driving force, in units of N; fwIs the air resistance, in units of N; ffIs rolling resistance in units of N; fiIs slope resistance in units of N; fbThe unit is N for braking force.
F is to bet、Fw、Ff、FiRespectively substituting the formula (2), and obtaining a longitudinal dynamic model of the vehicle as follows:
wherein M is the mass of the vehicle in kg ηtThe transmission efficiency of the whole vehicle transmission system is improved; cDIs the air resistance coefficient; a is the frontal area in m2(ii) a Rho is the air density in kg/m3(ii) a g is the acceleration of gravity in m/s2(ii) a f is a rolling resistance coefficient; θ (t) is road grade in rad; fbAnd (t) is the magnitude of braking force.
The engine fuel consumption model and the vehicle longitudinal dynamics model are both functions related to the time t, and the sampling unit of the invention is displacement, so that the conversion relation between the time and the displacement needs to be obtained:
by working up formula (5), one can obtain:
where v (k) represents the magnitude of the vehicle speed at the k-th sampling position, kkDenotes the distance between the k-1 th sampling position and the k-th sampling position, and k1=k2=…=kkFig. 2 shows a concrete representation of the sampling position and the sampling distance.
The velocity magnitude at the next position k +1 is:
the formula (7) is multiplied by v (k) + v (k +1) at both ends, and the formula (4) is substituted into the arrangement:
step three, designing a global speed optimization controller based on a distribution estimation algorithm: based on the established engine fuel consumption model and the vehicle longitudinal dynamics model, in order to balance the relation between the fuel economy and the vehicle speed, a weighting factor q is introduced1、q2Establishing an objective function of the global speed optimization controller:
s.t.
Temin≤Te(k)≤Temax (10)
0≤Fb(k)≤Fbmax (11)
vlimitmin≤v(k)≤vlimitmax (12)
v(0)=v(n)=0 (13)
where n is the nth (last) sampling location; k represents the kth sampling position; Δ tkFor the driving time of the vehicle from the sampling position k to k +1, is the upper limit value of the velocity at the sampling position k + 1; q. q.s1、q2Is a weighting factor. Equation (10) is a constraint on engine torque during optimization, Temin and Temax is the minimum and maximum values that the engine torque can reach, respectively; equation (11) is a constraint on the braking force during braking, Fbmax is the maximum braking force that the vehicle can achieve; equation (12) is a constraint on the speed of the vehicle during travel, vlimitmin and vlimitmax represents the lower limit of the travel speed defined by the road code at the sampling position k andan upper limit value; equation (13) is a constraint on the initial and final speeds of the vehicle over the course, both the initial and final speeds being 0.
In the solving process of the objective function, a distribution estimation algorithm is adopted, and fig. 3 is a solving flow chart of the distribution estimation algorithm: (1) initializing a population, randomly generating a population meeting the requirements of the population size, randomly generating a predefined sample in the vehicle domain when randomly generating the predefined sample because the invention is directed to vehicles, and generating each sample by n pairs of control inputs (T) in the global optimization process because there are n sampling positions in totale、Fb) Composition is carried out; (2) selecting a sample with a smaller objective function value as an excellent sample; (3) calculating the average value and standard deviation of the excellent samples, updating the probability matrix, and establishing a probability model; (4) randomly sampling the probability model to obtain a new sample; (5) and (3) judging whether the termination condition of the algorithm is met, if so, outputting the optimal speed curve, and if not, returning to the step (2) until the optimal speed curve is output.
Designing a local speed optimization controller based on a model predictive control theory: the method is used for carrying out real-time rolling optimization on the fuel economy, the transportation efficiency and the safety of the vehicle based on a model prediction control theory, and the control input is (T)e、Fb) The state variable is v, and the objective function of the local velocity optimization controller is:
s.t.
Temin≤Te(l)≤Temax (15)
0≤Fb(l)≤Fbmax (16)
vlimitmin≤v(l)≤vlimitmax (17)
wherein m is the step length of the local optimization within the kth step length of the global optimization, and fig. 4 shows a relationship curve between the displacement as a sampling unit and the speed; v. of*(l) The vehicle speed at the position l and the position l obtained by global optimization are takenThe lesser of the vehicle speed limits; ssafe(l) Is a safe distance from the front vehicle; s*(l) Is the estimated inter-vehicle distance from the preceding vehicle.
The constraints of equations (15) to (17) are the same as the constraints of equations (10) to (12).
The model prediction control theory is adopted when the rolling optimization is carried out on the fuel economy, the vehicle speed and the safety; in the process of solving the objective function, a distribution estimation algorithm is adopted.
Safety distance s between the vehicle and the front vehicle at position lsafe(l) The method is obtained according to real-time traffic conditions and an empirical formula:
ssafe(l)=k0×v(l)+sstop(18)
wherein k is0Is a safe proportionality coefficient; v (l) the speed optimized for the vehicle at l; sstopIs the expected safe distance from the front workshop when the vehicle stops, and the unit is m.
Calculating the estimated distance s between the position l and the preceding vehicle*(l) The method mainly comprises the following steps:
1. estimating the acceleration of the front vehicle at the sampling position k:
wherein the content of the first and second substances,the estimated acceleration of the front vehicle at the sampling position k is obtained; a isq(l | k-1) represents the actual magnitude of the forward vehicle acceleration at the l control horizon within the k-1 th step size; and p (l) is a weighting factor, the closer to the sampling position k, the larger the weighting factor is obtained, namely p (m | k-1) ≧ p (m-1| k), and so on, so as to obtain a more accurate acceleration estimation value.
2. The speed of the leading vehicle at the next sampling location is estimated:
wherein the content of the first and second substances,the estimated speed of the front vehicle at the position of the kth sampling period l is obtained; v. ofq(0| k) is the actual speed of the lead vehicle at the sampling location k;c represents the c small period in the kth large period, and 1 < c is less than or equal to m.
3. When the vehicle runs from the position l-1 to the position l in the kth sampling period, estimating the position of the front vehicle:
4. estimated vehicle distance s between the preceding vehicle and the position l of the k-th sampling period*(l | k) is:
wherein L (L | k) is the position of the own vehicle; sq(0| k) is the actual inter-vehicle distance from the leading vehicle at the end of the k-1 cycle.
The foregoing is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, various modifications and decorations can be made without departing from the principle of the present invention, and these modifications and decorations should also be regarded as the protection scope of the present invention.
Claims (7)
1. The vehicle economical vehicle speed forward-looking optimization method is characterized by comprising the following steps of:
step 1: establishing an engine fuel consumption model and a longitudinal dynamics model of a vehicle;
step 2: designing a global speed optimization controller before a vehicle starts, wherein the input of the global speed optimization controller is the engine fuel consumption model, the longitudinal dynamics model and the estimated traffic condition, and the output is an optimized speed curve of the whole travel; the traffic condition comprises driving time and distance between sampling positions in the vehicle journey, a speed upper limit value at the sampling positions, a lower limit value and an upper limit value of the driving speed;
and step 3: and designing a local speed optimization controller after the vehicle starts, wherein the input of the local speed optimization controller is the optimized speed curve of the whole travel and the real-time traffic condition, and the output of the local speed optimization controller is the actual speed curve of the local travel.
2. The vehicle economy speed look-ahead optimization method of claim 1, wherein the engine fuel consumption model and the longitudinal dynamics model are both displaced in step units at the time of sampling.
3. The vehicle economy vehicle speed look-ahead optimization method of claim 2, wherein the engine fuel consumption model is:
wherein k is a sampling position in the vehicle travel; b (k) is specific fuel consumption; t ise(k) Is the engine torque; n is0α is the engine speed1、α2、β1、β2Is a constant determined from the engine specific performance parameter; i.e. igIs the transmission ratio of the transmission; i.e. i0The transmission ratio of the main speed reducer is set; r is the wheel radius; v (k) is vehicle travel speed;
the longitudinal dynamics model is as follows:
wherein M is the mass of the vehicle ηtThe transmission efficiency of the whole vehicle transmission system is improved; CD is the air resistance coefficient; a is the windward area; rho is airDensity; g is the acceleration of gravity; f is a rolling resistance coefficient; θ (k) is the road slope; fb(k) Is the magnitude of the braking force.
4. A vehicle economy vehicle speed look-ahead optimization method as claimed in claim 3, wherein the global speed optimization controller objective function is:
s.t.
Temin≤Te(k)≤Temax (4)
0≤Fb(k)≤Fbmax (5)
vlimitmin≤v(k)≤vlimitmax (6)
v(0)=v(n)=0 (7)
wherein n represents that n sampling positions are selected in the vehicle journey; k represents the kth sampling position; Δ tkFor the driving time of the vehicle from the sampling position k to k +1,Δ s represents the distance between adjacent sampling locations; v (k +1) is the upper limit value of the velocity at the sampling position k + 1; q. q.s1、q2Is a weight factor; t isemin and Temax is the minimum and maximum values that the engine torque can reach, respectively; fbmax is the maximum braking force that the vehicle can achieve; vlimitmin and vlimitmax represent the lower limit value and the upper limit value of the running speed at the sampling position k, respectively.
5. The vehicle economy speed look-ahead optimization method of claim 4, wherein the objective function of the local speed optimization controller is:
s.t.
Temin≤Te(l)≤Temax (9)
0≤Fb(l)≤Fbmax (10)
vlimitmin≤v(l)≤vlimitmax (11)
wherein m is the step length of local optimization within the kth step length of global optimization; v. of*(l) Taking the smaller one of the vehicle speed at the position l and the vehicle speed limit value at the position l obtained by global optimization; ssafe(l) Is a safe distance from the front vehicle; s*(l) Is the estimated inter-vehicle distance between the vehicle and the front vehicle; q. q.s3、q4、q5Is a weighting factor.
6. The vehicle-economy vehicle speed look-ahead optimization method of claim 5, wherein the solution of the objective functions of the global speed optimization controller and the local speed optimization controller both use a distributed estimation algorithm.
7. The vehicle-economy vehicle speed look-ahead optimization method of claim 5, wherein a model predictive control theory is used to roll optimize an objective function of the local speed optimizer controller.
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