CN101580064A - Adaptive control method for controlling vibration of vehicle - Google Patents

Adaptive control method for controlling vibration of vehicle Download PDF

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CN101580064A
CN101580064A CNA2009100865744A CN200910086574A CN101580064A CN 101580064 A CN101580064 A CN 101580064A CN A2009100865744 A CNA2009100865744 A CN A2009100865744A CN 200910086574 A CN200910086574 A CN 200910086574A CN 101580064 A CN101580064 A CN 101580064A
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vehicular vibration
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孙建民
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Beijing University of Civil Engineering and Architecture
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Abstract

The invention discloses an adaptive control method for controlling the vibration of a vehicle, comprising the step of adjusting the weight coefficient of a wave filter based on an LMS adaptive algorithm to lead the quadratic performance index of target parameters to be minimal. The method can be used for controlling the target parameters such as the vertical vibration acceleration of a vehicle body, a dynamic load between wheels and a road surface, the dynamic deflection of a suspension system, and the like, and controlling the vibration of the vehicle in real time, and can simply and effectively improve the driving smoothness of the vehicle.

Description

The self-adaptation control method that is used for Vehicular vibration control
Technical field
The present invention relates to a kind of control method, relate in particular to a kind of self-adaptation control method that is used for Vehicular vibration control.
Background technology
Automobile vibration is to influence vehicle running smoothness and road-holding property key factor.Vehicle vibration damping mainly uses suspension system, generally is made of elastic element and damping element.In order to the disturbance force that buffering and absorption produce because of Uneven road, the roll force that produces when bearing motor turning simultaneously.And the two is contradiction in automobile design, is difficult to satisfy simultaneously this requirement based on the conventional suspension systems of classical theory of vibration isolation.
In the prior art, the automotive suspension vibration control system picks up vehicle body absolute velocitye, vehicle body to the relative velocity of wheel, the signals such as acceleration/accel of vehicle body by sensor mostly, and machine is handled and sent to instruct and controls as calculated.Regulate the damping coefficient or the control effort of shock absorber by actuating units such as electric hydraulic control valve or stepping motors.
There is following shortcoming at least in above-mentioned prior art:
In real system implementation algorithm need square, computing such as average or differential, calculation of complex, efficient are low.
Summary of the invention
The purpose of this invention is to provide a kind of self-adaptation control method that is used for Vehicular vibration control simply, efficiently.
The objective of the invention is to be achieved through the following technical solutions:
The self-adaptation control method that is used for Vehicular vibration control of the present invention comprises and adopts the LMS adaptive algorithm that target component is controlled, and makes the quadratic performance index of described target component reach minimum by the weight coefficient of adjusting filter.
As seen from the above technical solution provided by the invention, the self-adaptation control method that is used for Vehicular vibration control of the present invention, owing to adopt the LMS adaptive algorithm that target component is controlled, make the quadratic performance index of described target component reach minimum by the weight coefficient of adjusting filter.When being used for Vehicular vibration control, can improve the ride comfort of running car simply, efficiently.
Description of drawings
Fig. 1 is the principle signal of LMS adaptive line combiner in the specific embodiments of the invention;
Fig. 2 is the principle signal of LMS adaptive transversal filter in the specific embodiments of the invention;
Fig. 3 a is a single-frequency excitation sprung weight acceleration time domain response curve in the specific embodiments of the invention;
Fig. 3 b is single-frequency excitation sprung weight acceleration/accel frequency response curve figure in the specific embodiments of the invention;
Fig. 4 a is single-frequency excitation dynamic wheel load time-domain response curve figure in the specific embodiments of the invention;
Fig. 4 b is single-frequency excitation dynamic wheel load frequency response curve figure in the specific embodiments of the invention;
Fig. 5 a is single-frequency excitation suspension dynamic deflection time-domain response curve figure in the specific embodiments of the invention;
Fig. 5 b is single-frequency excitation suspension dynamic deflection frequency response curve figure in the specific embodiments of the invention;
Fig. 6 is LMS adaptive control error e (n) change procedure diagram of curves in the specific embodiments of the invention;
Fig. 7 is LMS adaptive control weight convergence conditional curve figure in the specific embodiments of the invention;
Fig. 8 is a sprung weight acceleration power spectral density diagram of curves under the road excitation in the specific embodiments of the invention;
Fig. 9 is dynamic wheel load power spectral density plot figure under the road excitation in the specific embodiments of the invention;
Figure 10 is road excitation lower suspension dynamic deflection power spectral density plot figure in the specific embodiments of the invention.
The specific embodiment
The self-adaptation control method that is used for Vehicular vibration control of the present invention, its preferable specific embodiment is, comprise and adopt the LMS adaptive algorithm that target component is controlled, make the quadratic performance index of described target component reach minimum by the weight coefficient of adjusting filter.
Described quadratic performance index can comprise with the next item down or multinomial: error signal mean square value, average power.
Described filter is LMS adaptive transversal filter or LMS adaptive line combiner.
Described LMS algorithm can be regulated described weight coefficient according to the negative gradient of single error signal variance.
Can get the gradient of described single error signal square
Figure A20091008657400041
As the error of mean square functional gradient
Figure A20091008657400042
Estimation.
Can be by this method: the dynamic load between bouncing of automobile body acceleration/accel, wheel and road surface, the dynamic deflection of suspension system to estimating with the next item down or multinomial target component; And improve the ride comfort of running car by control to above-mentioned target component.
When improving the ride comfort of running car by control to multinomial target component, the bouncing of automobile body acceleration/accel evaluating of attaching most importance to.
The present invention adopts adaptive control technology, state and parameter by on-line identification controlled object constantly in control process, the parameter of timely adjusting control device, eliminate because unknown, time becomes and the adverse effect that the performance of control system is produced such as non-linear, thereby controlled system is operated under the well behaved level.
Auto-adaptive filtering technique is debated in the knowledge process in system, and the number of required input Serial No. was few when system parameter was done certain variation, and required the amount of calculation (in multiplication and division, add, subtract, square etc. operation times) few, have tangible rapidity.
Adaptive filter algorithm has a variety of, and LMS (Least Means Squares) algorithm computing is simple.The present invention is based on of the application of the horizontal sef-adapting filter of LMS algorithm,, propose the suspension system of LMS adaptive control at vehicle suspension 1/4 model in signal conditioning.
In conjunction with the accompanying drawings the solution of the present invention is carried out detail analysis below by specific embodiment:
As shown in Figure 1, the onrecurrent sef-adapting filter also can be described as the adaptive line combiner, for by element x 0, x 1, Λ, x L-1The signal vector of forming, one group of adjustable power correspondingly is w 0, w 1, Λ, w L-1For one group of fixing weights, its output is the linear combination of input component.For single input system, incoming signal can be thought the different time serieses constantly of same signal, and as shown in Figure 2, sef-adapting filter can be realized by adaptive line combiner and unit delay unit, thereby constitute adaptive transversal filter.
As shown in Figure 2, be y (n) if establish the linear estimate of sef-adapting filter, the true response of simultaneity factor is d (n), then has
e 2(n)=[d(n)-y(n)] 2 (1)
Be the square error that becomes with sequential n.Definition
ε(n)=E{e 2(n)} (2)
Wherein, the expectation value of amount in the E{} representative { }, i.e. ensemble average.Since average when ensemble average is not, so ε (n) is the function of moment t, be defined as error of mean square (MSE).
According to horizontal sef-adapting filter structure, have
y ( n ) = Σ i = 0 L - 1 w i ( n ) · x ( n - i ) = W T ( n ) · X ( n ) - - - ( 3 )
Wherein, W T(n)=[w 0(n), Λ, w L-1(n)] (4)
X T(n)=[x(n),Λ,x(n-L+1)] (5)
Because y (n) is the linear function (w of incoming signal x (n-i) i(n) be coefficient in the linear equation), thus by x (n-i) the process of filter output y (n) is called linear filtering.
The adaptive signal processing algorithm generally is used for obtaining relevant adjustable parameter, and making with these parameters is objective function minimum under certain criterion of variable, and the mean square value of evaluated error is a kind of criterion commonly used.Therefore, distinguish from criterion, adaptive signal processing method can divide two classes: (1) random statistical method; (2) accurate method.In accurate method, criterion has comprised the true definite input data that obtained, and in the random statistical method, criterion has comprised the statistical nature of input data.The derivation of algorithm is based on the ensemble average (being error of mean square) of evaluated error square.
At formula (1), (2), (3), find the solution W T(n), make ε (n) minimum.Because ε (n) is each coefficient w iFunction, can be written as ε (W).As shown from the above formula
ε(W)=E[e 2(n)]=E{[d(n)-W TX(n)] 2} (6)
Wherein, W TBe W TSlightly writing (n), the situation when now studying network characteristic and being in plateau.
Launch by formula (6),
ε(W)=E{d 2(n)}-2W TE{d(n)X(n)}+W TE{X(n)X T(n)}W (7)
The right side first term is the mean square power of manipulated signal d (n) in the formula (7), and the cross-correlation amount of second expression d (n), x (n) is expressed as Rxd.Rxd is a time-varying vector (being a constant vector when stable state), and its each element is expressed from the next:
R xd = E { d ( n ) x ( n ) } E { d ( n ) x ( n - 1 ) } Λ E { d ( n ) x ( n - L + 1 ) } = R xd ( 0 ) R xd ( 1 ) Λ R xd ( L - 1 ) - - - ( 8 )
R wherein Xd(m) be cross-correlation coefficient, be defined as
R xd(m)=E{d(n)x(n-m)} (9)
In actual process, real R Xd(m) value is a unknown number often, need be estimated.The general method of estimation that adopts is: for steady ergodic stochastic signal x, y, and its corresponding R Xy(m) can estimate by following formula
R xy ( m ) = 1 k - | m | Σ i = 0 k - | m | - 1 x ( n - i ) · y ( n - | m | - i ) - - - ( 10 )
K data number when calculating in the formula, general run of thins get k>>| m|.
E{X (n) X of formula (7) right side in last T(n) } represent the autocorrelation battle array of x (n), be designated as R Xx
R xx=E{X(n)X T(n)} (11)
For stationary signal, R XxIrrelevant with n, R XxCan be written as
R xx = E { x ( n ) x ( n - 1 ) M x ( n - L + 1 ) [ x ( n ) , x ( n - 1 ) , Λ , x ( n - L + 1 ) ] } - - - ( 12 )
Then according to formula (8), R XxCan be written as
R xx = φ x ( 0 ) φ x ( 1 ) Λ φ x ( L - 1 ) φ x ( 1 ) φ x ( 0 ) Λ φ x ( L - 2 ) Λ Λ Λ Λ φ x ( L - 1 ) φ x ( L - 2 ) Λ φ x ( 0 ) - - - ( 13 )
φ in the formula x(l) be l rank cross-correlation coefficient.
With formula (8), (12) substitution formula (7),
ε(W)=E[d 2(n)]-2W TR xd+W TR xxW (14)
By formula (14) as seen, error of mean square ε (W) obviously is the function of weights (filter coefficient) W.If get L=2, error of mean square is the quadratic function of weights, and formula (7) becomes
ϵ ( W ) = ϵ ( w 1 , w 2 ) = w 1 2 φ x ( 0 ) + 2 w 1 w 2 φ x ( 1 ) + w 2 2 φ x ( 0 )
- 2 w 1 R xd ( 0 ) - 2 w 2 R xd ( 1 ) + E [ d 2 ( n ) ] - - - ( 15 )
Utilize differential zero setting method to find the solution, order
∂ ∂ w 1 ϵ ( w 1 , w 2 ) | w 1 , w 2 = w 1 * , w 2 * = 0 ∂ ∂ w 2 ϵ ( w 1 , w 2 ) | w 1 , w 2 = w 1 * , w 2 * = 0 - - - ( 16 )
{。##.##1},
2 w 1 * φ x ( 0 ) + 2 w 2 * φ x ( 1 ) - 2 R xd ( 0 ) = 0 2 w 2 * φ x ( 0 ) + 2 w 1 * φ x ( 1 ) - 2 R xd ( 1 ) = 0 - - - ( 17 )
Obviously when if weights are got the L rank, can be derived as matrix form and be:
R xxW *=R xd (18)
Promptly W * = R xx - 1 R xd - - - ( 19 )
The W that solves by formula (19) *Assurance is the extreme value of ε (W), but whether minimal value also should be verified.Ask for this reason
∂ 2 ∂ w 1 2 ϵ ( W ) | W = W * = 2 φ x ( 0 )
∂ 2 ∂ w 2 2 ϵ ( W ) | W = W * = 2 φ x ( 0 ) - - - ( 20 )
For stationary signal x (n)
φ x(0)=E{x(n-l)x(n-l)}=E{x 2(n)} (21)
Be φ x(0) is the mean square value of x (n), so the value perseverance just.Then as seen, φ by formula (20) x(0) at W *The place
Figure A20091008657400078
Perseverance just.Be ε (W) function be a centre to recessed parabolical curved surface, formula (19) separate the permanent minimal solution that is.Accurately ask this equation, need know R XxAnd R XdThe priori statistical information, when these can't be known in advance, then seek numerical solution.
The LMS adaptive algorithm is to make quadratic performance index (error signal mean square value or average power) reach minimum by the weight coefficient of adjusting filter, is a kind of special gradient decline class algorithm.Real gradient descent algorithm will be regulated the filter weight coefficient according to the negative gradient of error of mean square, because error of mean square is unknown usually in real work, so LMS algorithm solution to this problem is to regulate weight coefficient according to the negative gradient of single sample variance.
According to steepest descent method, next weight coefficient vector W (n+1) constantly should equal current this weight coefficient vector and add the gradient of the next item up ratio in negative error of mean square function Promptly
W ( n + 1 ) = W ( n ) - μ ▿ e 2 ( n ) - - - ( 22 )
μ is called convergence coefficient for the gain constant of control adaptive speed and stability in the formula.
In the working control process, find the solution the each required calculated amount of iteration of W (n) in order to reduce, satisfy the real-time of system, get the gradient of single error sample square
Figure A20091008657400083
As the error of mean square functional gradient
Figure A20091008657400084
Estimation, have
▿ ^ e 2 ( n ) = - 2 e ( n ) X ( n ) - - - ( 23 )
Can sum up rule by formula (1), (3), (22), (23) receives out the LMS adaptive filter algorithm and is
y ( n ) = W T X ( n ) e ( n ) = d ( n ) - y ( n ) W ( n + 1 ) = W ( n ) + 2 μe ( n ) X ( n ) - - - ( 24 )
In the convergence analytic process of LMS adaptive filter algorithm, consider that W (0) iteration how whether W reach by initial setting becomes W *By the derivation of LMS adaptive algorithm as can be known, the LMS algorithm can be considered the steepest descent method that expectation is approximately instantaneous value, therefore some average characteristics of LMS adaptive algorithm identical with steepest descent method still, but fluctuation can appear in the characteristic of its process, and this has introduced difficulty to analysis.
Because the variation of parameter or environment is generally all slow than the variation of X (n) in the variation of power W and the model system of generation X (n), therefore can establish the incoming signal X (n) of LMS filter and the weights W of LMS iUncorrelated, can prove and work as μ in certain span, identical with change procedure of weighing in the steepest descent method and convergence situation, but the mathematical expectation absolute convergence of the weight vector W of LMS algorithm is to optimum right vector W *But in realistic simulation computation process, show, this incoherent supposition is not the sufficient condition of LMS adaptive algorithm convergence, when between the power W of incoming signal X (n) and LMS algorithm or incoming signal, bigger correlativity being arranged, under the bigger prerequisite of error of mean square, weight vector W also can converge to optimum right vector W *
The correct weight coefficient number L of LMS sef-adapting filter, the overshoot coefficient M and the triangular relation of convergence coefficient μ of LMS algorithm handled is to guarantee the stability of control algorithm.The overshoot coefficient M of LMS algorithm can be expressed as
M = N 4 τ - - - ( 25 )
τ in the formula---time constant, μ is inversely proportional to convergence factor.
By the LMS algorithm as can be known, the speed of μ value direct control self adaptation convergence process is known again by formula (25), and too fast convergence rate can make the overshoot coefficient increase, and it is out of control to form overshoot.In addition, the number that reduces weight coefficient helps system stability, causes available information few but L crosses the young pathbreaker, influences the simulation precision of weight vector to controlled system.Therefore guaranteeing suitably to increase the number L and the convergence coefficient μ value of weight coefficient, progressively to seek quick and stable control process under the stable prerequisite of LMS adaptive control system.
According to the LMS adaptive filter algorithm, at two-freedom vehicle suspension simplified model, design LMS adaptive controller, the sprung weight acceleration/accel is as controlled leading indicator, according to preferred filter order and convergence coefficient, under the input stimulus of two kinds of signals of single-frequency and road surface, carried out the simulation calculation analysis.
In emulation, it is 10mm that incoming signal adopts amplitude, and frequency is the sinusoidal excitation signal of 2Hz, and controller is outputed to link between the power actr, as instruments such as D/A converter, low-pass filter, power amplifiers, is reduced to a ratio amplifying element.
Fig. 3 a, Fig. 3 b, Fig. 4 a, Fig. 4 b, Fig. 5 a, Fig. 5 b are for controlling front and back sprung weight acceleration/accel, dynamic wheel load, suspension dynamic deflection performance ratio.
By Fig. 3 a, Fig. 3 b as seen, sprung weight acceleration/accel index is controlled in 5s under the lower amplitude effectively, and prolongation in time, and effect also can be more remarkable.At low-frequency resonance band place, amplitude is significantly reduced, and proves that the ride comfort of vehicle is improved preferably by its frequency domain figure explanation.
By Fig. 4 a, Fig. 4 b as seen, the dynamic wheel load index of sign vehicle handling quality has also obtained better controlled.
The suspension dynamic deflection by Fig. 5 a, Fig. 5 b as seen, it is not obvious that amplitude reduces because what in the algorithm control of dynamic deflection is taked is indirect control, because the existence of unsprung weight, especially for low-frequency excitation, the significantly reduction of dynamic deflection will become very difficult.
When the frequency that changes sinusoidal signal, carried out exciting control process from 2Hz~25Hz, all receive similar effect.In control computation process, the output of controller all restrains gradually, just control slightly difference of effect, this mainly is that ADAPTIVE LMS ALGORITHM can be according to different incoming signal automatic compensation weight coefficients, have the ability that weight vector is approached to theoretical optimal value on statistical significance, this proves that further the stability of this algorithm is higher.
In the analogue computing process, the convergence process of LMS adaptive filtering error change procedure and weights such as Fig. 6, shown in Figure 7, in the adjustment process of LMS adaptive controller, beginning e (n) and W (n) change bigger, but the trend of convergence is gradually arranged, the output error and the weights of controller tend to be steady substantially before and after 4s, and the LMS filter controller is finished the adjustment of weight coefficient substantially, and system outlet is near stable.
Obtain on the basis of better effects in the control of single-frequency exciting, the simplification suspension system Properties Control under the excitation of road pavement model has been done following analysis.Think that in implementing the simulation control process actr can provide good power width of cloth characteristic in the research frequency range, it is made as linear element, promptly import and be output into direct ratio and do not have time-delay, and instruments such as D/A converter, low-pass filter and power amplifier are reduced to the linear scaling amplifier, with the basic feature of outstanding control algorithm.
Under the The controller effect, the performance evaluation index of vehicle suspension such as Fig. 8 before and after the control~shown in Figure 10, by the acceleration power spectral density curve as seen, in 0~25Hz frequency band, vibrating effect is controlled greatly, and especially about 2Hz, amplitude differs more than 10 times before and after the control, the control effect is remarkable, proves that further this controller has the ability that can improve vehicle ride comfort.
For the dynamic wheel load index, by its power spectral density plot as seen, the place reduces about 1/3 approximately at the 12Hz resonance peak, under with the prerequisite of sprung weight acceleration signal as error input signal, vehicle suspension live load index by the random road surface signal excitation is controlled in this case, reason has two: one, and the LMS algorithm shows that indirectly the application force to unsprung weight tends towards stability after adjustment output is stable, so index is stable after the live load control; The 2nd, suitably choose LMS convergence of algorithm coefficient, relax its rate of convergence, though the controlled effect of sprung weight acceleration/accel index does not reach the best, dynamic wheel load control effect is effective.
Effect significantly improves at low-frequency range suspension dynamic deflection as shown in figure 10 before and after the control of suspension dynamic deflection index, compares with the single-frequency exciting, and it is excellent that effect becomes.It is mainly due under the random road surface excitation, and the mis-behave of passive suspension is serious, and has the LMS algorithm of adaptive ability still to keep exporting preferably control ability, so effect is obvious.
Among the present invention, the automobile suspension system self-adaptation control method is to two-freedom vehicle suspension system model, Simulation Control by ADAPTIVE LMS ALGORITHM, under the excitation of single-frequency and test pavement simulating signal, sprung weight acceleration/accel, dynamic wheel load and suspension dynamic deflection have all obtained improvement to a certain degree, particularly obviously reduced the vertical direction acceleration/accel of sprung weight, other two indexes is also obtained certain control effect, verified the feasibility of vehicle suspension system LMS self adaptation active control strategies.
In real system implementation algorithm do not need square, average or differentiate, have simple and easy and high efficiency.Need not be average, the gradient component has comprised a big noise contribution certainly, but in the carrying out of adaptive process, the actual effect of playing a LPF, along with the carrying out of process, this noise must obtain decay, thereby it is more suitable in the automobile suspension system random vibration control.
The above; only for the preferable specific embodiment of the present invention, but protection scope of the present invention is not limited thereto, and anyly is familiar with those skilled in the art in the technical scope that the present invention discloses; the variation that can expect easily or replacement all should be encompassed within protection scope of the present invention.

Claims (7)

1, a kind of self-adaptation control method that is used for Vehicular vibration control is characterized in that, comprises adopting the LMS adaptive algorithm that target component is controlled, and makes the quadratic performance index of described target component reach minimum by the weight coefficient of adjusting filter.
2, the self-adaptation control method that is used for Vehicular vibration control according to claim 1 is characterized in that described quadratic performance index comprises with the next item down or multinomial: error signal mean square value, average power.
3, the self-adaptation control method that is used for Vehicular vibration control according to claim 1 is characterized in that described filter is LMS adaptive transversal filter or LMS adaptive line combiner.
4, according to claim 1, the 2 or 3 described self-adaptation control methods that are used for Vehicular vibration control, it is characterized in that described LMS algorithm is regulated described weight coefficient according to the negative gradient of single error signal variance.
5, the self-adaptation control method that is used for Vehicular vibration control according to claim 4 is characterized in that, gets the gradient of described single error signal square
Figure A2009100865740002C1
As the error of mean square functional gradient
Figure A2009100865740002C2
Estimation.
6, the self-adaptation control method that is used for Vehicular vibration control according to claim 5, it is characterized in that, by this method to controlling with the next item down or multinomial target component: the dynamic load between bouncing of automobile body acceleration/accel, wheel and road surface, the dynamic deflection of suspension system;
And improve the ride comfort of running car by control to above-mentioned target component.
7, the self-adaptation control method that is used for Vehicular vibration control according to claim 6 is characterized in that, when improving the ride comfort of running car by control to multinomial target component, and the bouncing of automobile body acceleration/accel evaluating of attaching most importance to.
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