CN105606381B - A kind of Distributed filtering network system and design method - Google Patents

A kind of Distributed filtering network system and design method Download PDF

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CN105606381B
CN105606381B CN201610058593.6A CN201610058593A CN105606381B CN 105606381 B CN105606381 B CN 105606381B CN 201610058593 A CN201610058593 A CN 201610058593A CN 105606381 B CN105606381 B CN 105606381B
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CN105606381A (en
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张皓
洪倩倩
吴苗苗
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Tongji University
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    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M17/00Testing of vehicles
    • G01M17/007Wheeled or endless-tracked vehicles
    • G01M17/04Suspension or damping

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Abstract

The present invention relates to a kind of Distributed filtering network system and design method.The system includes:Filter network unit:Wave filter including being distributed in different physical sites;Sensor sample unit:Including onboard sensor and filtered sensor, onboard sensor is embedded in automobile suspension system and gathers its status information, and filtered sensor is embedded in each wave filter and gathers the exchange of information of the wave filter and the adjacent filter of setting;Event trigger element:Including event trigger corresponding with each wave filter, each event trigger determines respective filter event generation time respectively;In event generation time, wave filter receives the automobile suspension system status information of corresponding onboard sensor collection and sets the exchange of information of adjacent wave filter, and otherwise the wave filter is failure to actuate.Compared with prior art, present invention the needs of can meeting multiple terminals while obtaining data, and can effectively prevents filter network from collapsing, and energy consumption is low, efficiency high, stability are strong.

Description

A kind of Distributed filtering network system and design method
Technical field
The present invention relates to a kind of filtering system and design method, more particularly, to a kind of Distributed filtering network system and sets Meter method.
Background technology
With increasing considerably for automobile usage amount, automobile ride research is increasingly paid close attention to by people, and it also turns into One of important performance indexes of automobile.During Ride Comfort Analysis, accurate real-time dynamic information collection is accurately analyzed Premise.Although conventional data collecting system is effective, the experimental situation with ever-increasing high-precision requirement, increasingly complicated With the interference of measurement noise, existing collecting method can not meet the requirement of people.
At present, most of research be all around properties of product forecasting problem, i.e., it is whole by establishing in the Automobile Design stage Car simulation model, the parameters of operating part such as suspension, vehicle body are analyzed.Ride Comfort Analysis based on emulation experiment, automobile dynamic are real When data message be easy to be collected.But Ride Comfort Analysis can not be only limited to product prediction and emulation experiment, when needs pair When the true car for having certain driving age of wide variety carries out ride comfort estimation, it is contemplated that the polytropy of running car environment and automobile sheet The complexity of body performance, automobile Simulation Experimental Platform are tended not to simulate all situations, and this is just needed to travelling in true environment In automobile carry out Ride Comfort Analysis experiment.The presence of the complexity of automobile construction, sampling error and ambient noise is to high accuracy Data acquisition propose challenge.Furthermore, it is contemplated that the automobile position in motion is changing always, the data message collected needs To be transferred to the wave filter of fixed station by radio sensing network, the antijamming capability in information exchanging process is that wave filter is set The important indicator considered is needed in meter.
Kalman filtering is classical filter form, for solving most of problem, it be optimal, efficiency highest even It is most useful, but it only has good filter effect to white Gaussian noise, it is not strong to the adaptability of noise type change.Fortune Dynamic automotive system there may be other kinds of noise, therefore unsatisfactory using Kalman filtering mode effect.
In addition, the data message that onboard sensor collects needs to send filter network to by wireless network.Tradition Sample mode is periodic sampling, although periodic sampling can reduce the degree of transitivity of packet in network, works as the real-time appearance of automobile When state information change amplitude is small, the faint or wave filter of system noise influence has accurately estimated vehicle condition information, just do not have It is necessary to still provide for intensive cycle information transmission.So in order to reduce data communication rates, save Internet resources, ensureing to filter On the premise of ripple device service behaviour, reduction sample information transmission capacity that can be appropriate.In order to reach this purpose, the present invention uses Event triggers sampling mechanism to replace traditional periodic sampling.Numerous studies demonstrate the superiority of event trigger mechanism, it The fields such as network control, multi-agent system, air formation are widely applied to, according to the difference of application background, are also divided into base In the trigger mechanism that system mode, system output, observer export.The present invention is filtered using based on automobile suspension system and neighbours The event triggering sampling mechanism of device output information, filter network can be achieved with to automobile real time status information according to output information Accurate estimation.The core of event trigger mechanism is design trigger conditions, and it directly affects sample information and passes frequency and filtering The quality of effect.Event generator is judged trigger conditions in each sampling instant, once condition deviates predetermined threshold Value, trigger sensor transmit current sample values to wave filter, otherwise, abandon current data information.Event triggers sampling mechanism energy It is enough effectively to reduce data transfer number, reduce communication bandwidth occupation rate, save Internet resources.
Although single filter can realize the estimation to vehicle condition, it sometimes appear that multiple Performance Evaluation websites are same When need to receive the situation of automobile information, or single filter failure causes the whole situation for assessing process interrupt.
The content of the invention
It is an object of the present invention to overcome the above-mentioned drawbacks of the prior art and provide one kind to including white noise A variety of form of noise inside have good anti-noise ability, and effectively reduce data on the premise of filtering performance is ensured and pass Successive number, Internet resources are saved, meet the Distributed filtering network system and design method of the demand for development of modern economy society.
The purpose of the present invention can be achieved through the following technical solutions:
A kind of Distributed filtering network system, is analyzed for 1/4 vehicle model automobile ride, and the system includes:
Filter network unit:Wave filter including being distributed in different physical sites, each wave filter carry out letter by network Breath interaction;
Sensor sample unit:Including onboard sensor and filtered sensor, described onboard sensor is embedded in automobile Suspension system simultaneously gathers automobile suspension system status information, and described filtered sensor is embedded in each wave filter and gathers the filter The exchange of information of ripple device and the adjacent filter of setting;
Event trigger element:Including event trigger corresponding with each wave filter, each event trigger is based on periodic event Trigger mechanism, respective filter event generation time is determined respectively;
In event generation time, wave filter receive corresponding onboard sensor collection automobile suspension system status information and The exchange of information of adjacent wave filter is set, otherwise the wave filter is failure to actuate.
A kind of design method of Distributed filtering network system, this method comprise the following steps:
(1) discretization model of 1/4 vehicle model automobile is established:
X (k+1)=Ax (k)+Bv (k) (1)
Wherein, x (k) is k moment automobile suspension system state variables, and x (k+1) is k+1 moment automobile suspension system states Variable, v (k) are the road rumble at current time, and A and B are respectively the normal matrix of system for being adapted to dimension;
(2) each onboard sensor sampling model is established:
yi(k)=Cix(k)+Diωi(k) (2)
Wherein, i=1,2 ... N, N are onboard sensor total number, yi(k) i-th of onboard sensor of k moment is represented Output information, ωi(k) sampling noiset of i-th of onboard sensor of k moment, C are representedi、DiIt is the normal matrix of system for being adapted to dimension;
(3) each wave filter exchange of information model in filter network unit is established:
Wherein,The exchange of information of i-th of wave filter is given for j-th of filter transfer of k moment,For the k moment The estimated state of j-th of wave filter,Represent the communication channel between j-th of wave filter of k moment and i-th of wave filter Random perturbation, Eij、FijTo be adapted to the coefficient matrix of dimension, i=1,2 ... N, j=1,2 ... N, N are number of filter;
(4) trigger condition of event trigger in each wave filter is established respectively:
Wherein, σiAnd εiFor i-th of event trigger threshold parameter, ΦiFor the first weight of i-th of event trigger Matrix,For the second weight matrix of i-th of event trigger,For i-th of filtering The estimated state at device k moment,For the event generation time of i-th of wave filter, Ni For that can transmit set of the exchange of information to all adjacent filters of i-th of wave filter, Ξ represents to ask square;
(5) wave filter discretization model is established based on event trigger trigger condition:
Wherein i=1,2 ... N represent i-th of wave filter, and N is wave filter total number,Filtered for i-th for the k moment Device estimated state,For i-th of wave filter estimated state of k+1 moment, HiFor the local gain of i-th of wave filter, Ki The coupling gain of i-th of wave filter,Exist for i-th of wave filterThe state estimation at moment,For I-th of wave filter existsThe output information at moment,ForJ-th of filter transfer of moment is to i-th of filtering The exchange of information of device;
(6) formula (1) and formula (5) are subtracted each other, and integrates and obtain filter network evaluated error model:
Wherein,For the evaluated error of i-th of wave filter of k moment,For i-th Individual wave filter k moment evaluated error and event triggering momentThe difference of evaluated error, For event triggering momentThe random perturbation of communication channel between j-th of wave filter and i-th of wave filter, FijIt is to be adapted to dimension The normal matrix of degree;
(7) rememberWhole filter network evaluated error mould is obtained according to formula (7) Type is:
Wherein, ξ (k)=[eT(k),δT(k),vT(k),ωT(k)]T, H=diag { H1,H2,…,HN, C=diag { C1,C2,…,CN, D=diag { D1, D2,…,DN, K=diag { K1,K2,…,KN, aijFor adjacency coefficient, i=1,2 ... N, j=1,2 ... N,
(8) there is H using the design of Liapunov stability analysis method to filter network evaluated error modelStability Filter network constraint matrix;
(9) according to above-mentioned constraint matrix and given periodic event activation threshold value parameter σiAnd εiCalculate wave filter Each wave filter local gain H in networkiWith coupling gain Ki
Described step (8) includes following sub-step:
(801) establishing Lyapunov Equation is:
V (e (k))=eT(k)Pe(k) (8)
Wherein, P is positive matrices;
(802) difference equation of Lyapunov Equation is solved, being solved using the method for Lyapunov's stability theorem second is made Obtaining filter network system has HThe constraint matrix of stability:
Wherein, γ decays for disturbance rejection Level,N is number of filter, and I is N × N-dimensional unit matrix, Φ= diag{Φ12,…ΦN, the Laplacian Matrix for the graph structure that L is formed for filter network, IpUnit matrix is tieed up for p × p,ForTie up unit matrix,
Described filter network system has HStability specifically meets the following steps:
(a) judge whether to consider its exterior disturbance, sensor measurement errors and interchannel noise, if performing step (b), Otherwise step (c) is performed;
(b) filter network evaluated error meets:
limk→∞Ξ||ei(k)||2≤Mρk (11)
Wherein M and ρ is normal number, and Ξ represents to ask square, and k is discrete time;
(c) filter network evaluated error meets:
Wherein R is normal number,X (0) is the initial of automobile suspension system state Value.
The constraint matrix obtained to step (802) linearizes, and is specially:
Make Xi=PiHi, Yi=PiKi, X=diag { X1,X2,…,XN, Y=diag { Y1,Y2,…,YN, by constraints Matrixing is:
Wherein,P is positive definite matrix to be solved.
Described step (9) specifically includes following sub-step:
(901) given event activation threshold value parameter σiAnd εiInitial value, and meetεi> 0, performs step Suddenly (902);
(902) by event trigger threshold parameter σiAnd εiσ is entered as respectivelyii1,εii3, and meetεi> 0, wherein Δ1、Δ2And Δ3Respectively σiAnd εiIteration step length;
(903) by σiεiSubstitute into inequality (13) and (14) and solve inequality, if without solution, return to step (902), if there is solution, matrix X, Y and γ are obtained;
(904) the transfer rate ο of filter network data message is calculated, judges ο≤οopt,γ≤γoptWhether set up, wherein ooptFor anticipatory data transfer rate, γoptFor expected interference rejection ratio, local gain H is calculated if setting upi=Pi -1Xi, coupling increasing Beneficial Ki=Pi -1Xi, otherwise return to step (902).
Compared with prior art, the invention has the advantages that:
(1) filter network design method of the present invention is simple, and filter parameter (including local gain and coupling gain) is easy It is determined that as long as meet MATRIX INEQUALITIES (13) and the matrix K of (14)iAnd HiThe gain matrix of filter network is can serve as, and MATRIX INEQUALITIES (13) and (14) are two conditions being easily met.
(2) present invention is simple to filtering object requirement, and the present invention only utilizes the Observable output variable of automobile suspension system, It is filtered using onboard sensor measured value, realizes and the status information of automobile suspension system is observed, to car model Without other requirements.
(3) filter network layout strategy of the present invention is flexible, meets different accuracy requirement, has a wide range of application, filter network Need the condition conservative that meets low, for different disturbance rejection Reduction Level γ, can be easy to from MATRIX INEQUALITIES (13) (14) value of filter gain matrix is solved in, is designed hence for the filter network of different accuracy requirement, the present invention Strategy can be realized.
(4) present invention determines that wave filter receives the automotive suspension system of onboard sensor collection using event triggering sampling mechanism At the time of status information of uniting, event triggering sampling can be with the reality of current filter object compared with traditional continuous or periodic sampling When state be reference quantity, decide whether transmit present sample data.When automobile is disturbed smaller or undisturbed, wave filter filter When ripple effect is preferable, data transfer is relatively dredged;When automobile is disturbed larger, automobile real-time attitude information change speed is larger When, data transfer is closeer.In general, the periodic event triggering sampling mechanism based on output feedback can be reduced effectively in network Data transfer number, save Internet resources.
(5) the Distributed filtering network that the present invention designs to estimate automobile attitude information in real time, the wave filter of strange land distribution By the exchange of information with onboard sensor, neighbours' wave filter, realize that the data message sent to onboard sensor is carried out Filtering, is collected into accurate data message.Compared with traditional centralized wave filter, the Distributed filtering network of the invention designed It disclosure satisfy that multiple observation stations while obtain the requirement of precise information, and have certain tolerance to wave filter collapse. In a word, on the premise of meeting that more observed terminals can receive precise information simultaneously, the robustness of filter network is also improved.
(6) H that the present invention designsFilter network can resist the interference of diversified forms, include disturbance, the biography of external environment The sampling error and communication channel noise of sensor.And compared with the Kalman filtering of classics, HFilter network can filter More extensive types of noise, for example disturb when not being the Parameter uncertainties of white noise or noise, classical Kalman filtering is just No longer it is applicable, but HFiltering but still functions as good filter effect.
Brief description of the drawings
Fig. 1 is Distributed filtering network architecture schematic diagram of the present invention;
Fig. 2 is the structural representation of 1/4 vehicle model of 2DOF of the present invention;
Fig. 3 is the simulation platform structure schematic diagram for the Distributed filtering network based on ChangAn Automobile that the present invention designs;
Fig. 4 is the displacement curve comparison diagram of unsprung mass block;
Fig. 5 is the displacement curve comparison diagram of sprung mass block;
Fig. 6 is the rate curve comparison diagram of unsprung mass block;
Fig. 7 is the rate curve comparison diagram of sprung mass block;
Fig. 8 is the evaluated error curve map of the filter network based on event triggering;
Fig. 9 is the timing diagram that the first wave filter receives external information in Fig. 3;
Figure 10 is the timing diagram that the second wave filter receives external information in Fig. 3;
Figure 11 is the timing diagram that the 3rd wave filter receives external information in Fig. 3
In figure, 1 is automobile suspension system, and 2 be onboard sensor, and 3 be event trigger, and 4 be wave filter, and 5 be transmission network Network.
Embodiment
The present invention is described in detail with specific embodiment below in conjunction with the accompanying drawings.
Embodiment
As shown in figure 1, a kind of Distributed filtering network system, is analyzed, the system bag for 1/4 vehicle model automobile ride Include:Filter network unit:Wave filter 4 including being distributed in different physical sites, each wave filter 4 enter row information by network and handed over Mutually;Sensor sample unit:Including onboard sensor 2 and filtered sensor, described onboard sensor 2 is embedded in automotive suspension System 1 simultaneously gathers the status information of automobile suspension system 1, and described filtered sensor is embedded in each wave filter 4 and gathers the filter The exchange of information of ripple device 4 and the adjacent filter of setting;Event trigger element:Including being triggered with each 4 corresponding event of wave filter Device 3, each event trigger 3 are based on periodic event trigger mechanism, determine the event generation time of respective filter 4 respectively;In event Generation moment, wave filter 4 receive the automobile suspension system status information of the corresponding collection of onboard sensor 2 and the filter that setting is adjacent The exchange of information of ripple device, otherwise wave filter 4 be failure to actuate.
Based on a kind of above-mentioned design method of Distributed filtering network system, this method comprises the following steps:
(1) as shown in Fig. 2 car model can be reduced to 1/4 vehicle model of 2 frees degree, wherein k1And k2It is spring Coefficient of elasticity, m1、m2、x1And x2Quality and the displacement of unsprung mass block and sprung mass block are represented respectively, and v represents to become on road surface The input disturbance of change, c are damped coefficient.According to Hooke's law and Newton's second law, the dynamic of the vehicle model of two degrees of freedom 1/4 is obtained Shown under mechanical equation:
Definition,So obtaining continuous system model isWhereinBc=[0 0-k1/m1 0]T.Then state space time domain solution handle is utilized Continuous system model discretization, obtain the discretization model of 1/4 vehicle model automobile:
X (k+1)=Ax (k)+Bv (k) (1)
Wherein, x (k) is k moment automobile suspension system state variables, and x (k+1) is k+1 moment automobile suspension system states Variable, v (k) are the road rumble at current time, and v (k) ∈ l2[0, ∞), A and B are respectively the normal square of system for being adapted to dimension Battle array;
(2) each sampling model of onboard sensor 2 is established:
yi(k)=Cix(k)+Diωi(k) (2)
Wherein, i=1,2 ... N, N are the total number of onboard sensor 2, yi(k) i-th of onboard sensor of k moment 2 is represented Output information, ωi(k) sampling noiset of i-th of onboard sensor of k moment 2, C are representedi、DiIt is the normal square of system for being adapted to dimension Battle array;
(3) each wave filter exchange of information model in filter network unit is established:
Wherein,The exchange of information of i-th of wave filter is given for j-th of filter transfer of k moment,For the k moment The estimated state of j-th of wave filter, ωij(k) communication channel between j-th of wave filter of k moment and i-th of wave filter is represented Random perturbation, Eij、FijTo be adapted to the coefficient matrix of dimension, i=1,2 ... N, j=1,2 ... N, N are number of filter;
(4) trigger condition of event trigger in each wave filter is established respectively:
Wherein, σiAnd εiFor i-th of event trigger threshold parameter, ΦiFor the first weight of i-th of event trigger Matrix,For the second weight matrix of i-th of event trigger,For i-th of wave filter k moment Estimated state,For the event generation time of i-th of wave filter,For i-th The event generation time of wave filter,Ni For that can transmit set of the exchange of information to all adjacent filters of i-th of wave filter, Ξ represents to ask square;
Trigger conditions are presented in the form of inequality, such as (4) formula, when a triggering condition is met, i.e. inequality (4) left side Value when being more than or equal to the right, event can just occur, so, threshold parameter σiAnd εiThe selection of value is just particularly important.It is excessive, εiToo small, trigger conditions are difficult to deviate, and cause filter effect poor;It is too small, εiExcessive, event occurs Intensive, network bandwidth occupation rate is high, and resource consumption is big, and cost is high.In addition, the concrete operating principle on event trigger mechanism, Design is as follows:From being carved at the beginning of test experiments, onboard sensor 2 and to be embedded in filtered sensor in wave filter 4 right respectively The exchange of information of the status information of automobile suspension system 1 and the adjacent filter of setting carries out numerical sample according to cycle h.It is and false When being located at the initial quarter of experiment, the event of each wave filter 4 occurs once, receives the phase from automobile suspension system 1 and setting The initial value information of adjacent wave filter.On the basis of the value of initial time, in ensuing each sampling instant, local filter is embedded in Event trigger 3 in ripple device all can be according to last event generation time receive information and local filter state information Situation of change, come judge current sample time whether occur event triggering.If event occurs, local wave filter can just receive net The current information that network transmission comes, update the variate-value of corresponding state in local filter model;If event does not occur, local filter The state variable value related to automobile suspension system 1 and neighbours' wave filter keeps the value of last event time not in ripple device model Become, until next time, event is arrived.Periodic event triggering sampling mechanism has merged periodic sampling and continuous events triggering Sampling Machine System, it can effectively reduce data transfer number, save Internet resources, and and can ensures good filter effect.
(5) wave filter discretization model is established based on event trigger trigger condition:
Wherein i=1,2 ... N represent i-th of wave filter, and N is wave filter total number,Filtered for i-th for the k moment Device estimated state,For i-th of wave filter estimated state of k+1 moment, HiFor the local gain of i-th of wave filter, KiI-th The coupling gain of individual wave filter,Exist for i-th of wave filterThe state estimation at moment,For i-th Individual wave filter existsThe output information at moment,ForJ-th of filter transfer of moment gives i-th of wave filter Exchange of information;
(6) formula (1) and formula (5) are subtracted each other, and integrates and obtain filter network evaluated error model:
Wherein,For the evaluated error of i-th of wave filter of k moment,For i-th Individual wave filter k moment evaluated error and event triggering momentThe difference of evaluated error, For event triggering momentThe random perturbation of communication channel between j-th of wave filter and i-th of wave filter, FijIt is to be adapted to dimension The normal matrix of degree;
(7) rememberWhole filter network evaluated error mould is obtained according to formula (7) Type is:
Wherein, ξ (k)=[eT(k),δT(k),vT(k),ωT(k)]T, H=diag { H1,H2,…,HN, C=diag { C1,C2,…,CN, D=diag { D1,D2,…, DN, K=diag { K1,K2,…,KN, aijFor adjacency coefficient, i=1,2 ... N, j=1,2 ... N,
(8) there is H using the design of Liapunov stability analysis method to filter network evaluated error modelStability Filter network constraint matrix;
(9) according to above-mentioned constraint matrix and given periodic event activation threshold value parameter σiAnd εiCalculate wave filter Each wave filter local gain H in networkiWith coupling gain Ki
Described step (8) includes following sub-step:
(801) establishing Lyapunov Equation is:
V (e (k))=eT(k)Pe(k) (8)
Wherein, P is positive matrices;
(802) difference equation of Lyapunov Equation is solved, being solved using the method for Lyapunov's stability theorem second is made Obtaining filter network system has HThe constraint matrix of stability:
Wherein, γ is disturbance rejection Reduction Level,N is wave filter Number, I are N × N-dimensional unit matrix, Φ=diag { Φ12,…ΦN, L is filter network structure Into graph structure Laplacian Matrix, IpUnit matrix is tieed up for p × p,ForTie up unit matrix,
Described filter network system has HStability specifically meets the following steps:
(a) judge whether to consider its exterior disturbance, sensor measurement errors and interchannel noise, if performing step (b), Otherwise step (c) is performed;
(b) filter network evaluated error meets:
limk→∞Ξ||ei(k)||2≤Mρk (11)
Wherein M and ρ is normal number, and Ξ represents to ask square, and k is discrete time;
(c) filter network evaluated error meets:
Wherein R is normal number,X (0) is the initial of automobile suspension system state Value.
The constraint matrix obtained to step (802) linearizes, and is specially:
Make Xi=PiHi, Yi=PiKi, X=diag { X1,X2,…,XN, Y=diag { Y1,Y2,…,YN, by constraints Matrixing is:
Wherein,P is positive definite matrix to be solved.
Described step (9) specifically includes following sub-step:
(901) given event activation threshold value parameter σiAnd εiInitial value, and meetεi> 0, performs step Suddenly (902);
(902) by event trigger threshold parameter σiAnd εiσ is entered as respectivelyii1,εii3, and meetεi> 0, wherein Δ1、Δ2And Δ3Respectively σiAnd εiIteration step length;
(903) by σiεiSubstitute into inequality (13) and (14) and solve inequality, if without solution, return to step (902), if there is solution, matrix X, Y and γ are obtained;
(904) the transfer rate ο of filter network data message is calculated, judges ο≤οopt,γ≤γoptWhether set up, wherein ooptFor anticipatory data transfer rate, γ optFor expected interference rejection ratio, local gain H is calculated if setting upi=Pi -1Xi, coupling increasing Beneficial Ki=Pi -1Xi, otherwise return to step (902).
Based on above Distributed filtering network system and its design method, by taking ChangAn Automobile as an example, devise is for ginseng The vertical displacement of the accurate estimation vehicle model car body of ChangAn Automobile 1/4 and the Distributed filtering network system of speed state.Based on table 1 Parameter, by modeling and discretization, obtain the car discrete form mathematical model parameter of ChangAn Automobile 1/4:
B=[- 1.0970, -1.0591,5.4462, - 6.9661]T
The ChangAn Automobile parameter list of table 1
Variable m1 m2 k1 k2 c T
Numerical value 510 3886 1250000 279300 9224 0.2
Unit kg kg N/s N/s s
Devised in the embodiment wave filter group of three strange lands distribution into filtering system, to estimate automotive suspension respectively The status information of system, the embodiment devise a kind of emulation platform such as Fig. 3 of the Distributed filtering network based on ChangAn Automobile Shown, figure median filter 4 is respectively the first wave filter, the second wave filter and the 3rd wave filter, it is assumed that system disturbance form is v (k)=e-2k, the sampling noiset of i-th of onboard sensor of k moment 2 is ωi(k)=[e-ksin(k) e-kcos(2k)]T, i=1, 2,3, the interchannel noise of information transmission is ω between wave filterij(k)=N (0,1/k).By matlab emulation obtain one group it is optimal Solution, the gain of wave filter local and coupling gain are respectively:
Emulation experiment is carried out to the emulation platform of above-mentioned design.Fig. 4 is the displacement curve comparison diagram of unsprung mass block, in figure Transverse axis represents that simulation time is 20 step-lengths, and the longitudinal axis represents the displacement of unsprung mass block, and the figure depicts suspension system respectively Output information and the curve using the output information of event triggering wave filter and the output information using periodic sampling wave filter Figure, equally, Fig. 5 are the displacement curve comparison diagram of sprung mass block, and Fig. 6 is the rate curve comparison diagram of unsprung mass block, and Fig. 7 is The rate curve comparison diagram of sprung mass block, complex chart 4~7 is visible, and the filter network system triggered using event can be fine The status information of ground estimation suspension system, its effect are very nearly the same with using the green wave network effect of periodic sampling.Fig. 8 is use The filter network state estimation error curve diagram of event triggering, transverse axis represent 100 simulation step lengths, and the longitudinal axis represents the margin of error, can See that filter network system can estimate the status information of object well, and have various types of disturbances by strong robust Property.Fig. 9, Figure 10, Figure 11 are respectively the timing diagram that three wave filters receive external information in Fig. 3, and longitudinal direction value is bigger, shows to trigger Time interval is longer, more can effectively reduce data transfer number, reduces traffic load, complex chart 4~11 is visible, is touched based on event While the filter network system of hair can ensure the preferably status information of estimation suspension system, additionally it is possible to effectively reduce data Degree of transitivity, reduce traffic load.

Claims (6)

1. a kind of Distributed filtering network system, analyzed for 1/4 vehicle model automobile ride, it is characterised in that the system bag Include:
Filter network unit:Wave filter (4) including being distributed in different physical sites, each wave filter (4) are carried out by network Information exchange;
Sensor sample unit:Including onboard sensor (2) and filtered sensor, described onboard sensor (2) is embedded in vapour Suspension system (1) simultaneously gathers automobile suspension system status information, and described filtered sensor is embedded in each wave filter (4) simultaneously Gather the exchange of information of the wave filter (4) and the adjacent filter of setting;
Event trigger element:Including event trigger (3) corresponding with each wave filter (4), each event trigger (3) is based on the cycle Event trigger mechanism, respective filter (4) event generation time is determined respectively;
In event generation time, wave filter (4) receive the automobile suspension system status information of corresponding onboard sensor (2) collection with And the exchange of information of adjacent wave filter is set, otherwise the wave filter (4) is failure to actuate.
2. a kind of design method of Distributed filtering network system as claimed in claim 1, it is characterised in that this method includes Following steps:
(1) discretization model of 1/4 vehicle model automobile is established:
X (k+1)=Ax (k)+Bv (k) (1)
Wherein, x (k) is k moment automobile suspension system state variables, and x (k+1) is k+1 moment automobile suspension system state variables, V (k) is the road rumble at current time, and A and B are respectively the normal matrix of system for being adapted to dimension;
(2) each onboard sensor sampling model is established:
yi(k)=Cix(k)+Diωi(k) (2)
Wherein, i=1,2 ... N, N are onboard sensor total number, yi(k) the output letter of i-th of onboard sensor of k moment is represented Breath, ωi(k) sampling noiset of i-th of onboard sensor of k moment, C are representedi、DiIt is the normal matrix of system for being adapted to dimension;
(3) each wave filter exchange of information model in filter network unit is established:
<mrow> <msub> <mover> <mi>y</mi> <mo>^</mo> </mover> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>E</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mover> <mi>x</mi> <mo>^</mo> </mover> <mi>j</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>F</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mover> <mi>&amp;omega;</mi> <mo>^</mo> </mover> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
Wherein,The exchange of information of i-th of wave filter is given for j-th of filter transfer of k moment,For j-th of k moment The estimated state of wave filter,Represent that the random of the communication channel between j-th of wave filter of k moment and i-th of wave filter is disturbed It is dynamic, Eij、FijTo be adapted to the coefficient matrix of dimension, i=1,2 ... N, j=1,2 ... N, N are number of filter;
(4) trigger condition of event trigger in each wave filter is established respectively:
Wherein, σiAnd εiFor i-th of event trigger threshold parameter, ΦiFor the first weight matrix of i-th of event trigger,For the second weight matrix of i-th of event trigger, For i-th of wave filter k moment Estimated state, For the event generation time of i-th of wave filter, Ni For that can transmit set of the exchange of information to all adjacent filters of i-th of wave filter, Ξ represents to ask square;
(5) wave filter discretization model is established based on event trigger trigger condition:
<mrow> <msub> <mover> <mi>x</mi> <mo>^</mo> </mover> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>=</mo> <mi>A</mi> <msub> <mover> <mi>x</mi> <mo>^</mo> </mover> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>H</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> <mo>(</mo> <msubsup> <mi>d</mi> <mrow> <msub> <mi>m</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> <mi>i</mi> </msubsup> <mo>)</mo> <mo>-</mo> <msub> <mi>C</mi> <mi>i</mi> </msub> <msub> <mover> <mi>x</mi> <mo>^</mo> </mover> <mi>i</mi> </msub> <mo>(</mo> <msubsup> <mi>d</mi> <mrow> <msub> <mi>m</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> <mi>i</mi> </msubsup> <mo>)</mo> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>K</mi> <mi>i</mi> </msub> <munder> <mi>&amp;Sigma;</mi> <mrow> <mi>j</mi> <mo>&amp;Element;</mo> <msub> <mi>N</mi> <mi>i</mi> </msub> </mrow> </munder> <mrow> <mo>(</mo> <msub> <mover> <mi>y</mi> <mo>^</mo> </mover> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>(</mo> <msubsup> <mi>d</mi> <mrow> <msub> <mi>m</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> <mi>i</mi> </msubsup> <mo>)</mo> <mo>-</mo> <msub> <mi>E</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mover> <mi>x</mi> <mo>^</mo> </mover> <mi>i</mi> </msub> <mo>(</mo> <msubsup> <mi>d</mi> <mrow> <msub> <mi>m</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> <mi>i</mi> </msubsup> <mo>)</mo> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>
Wherein i=1,2 ... N represent i-th of wave filter, and N is wave filter total number,For i-th of the wave filter estimation of k moment State,For i-th of wave filter estimated state of k+1 moment, HiFor the local gain of i-th of wave filter, KiI-th of filter The coupling gain of ripple device,Exist for i-th of wave filterThe state estimation at moment,For i-th of filter Ripple device existsThe output information at moment,ForJ-th of filter transfer of moment is to i-th wave filter Exchange of information;
(6) formula (1) and formula (5) are subtracted each other, and integrates and obtain filter network evaluated error model:
<mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi>e</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mo>(</mo> <mi>A</mi> <mo>-</mo> <msub> <mi>H</mi> <mi>i</mi> </msub> <msub> <mi>C</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>e</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>H</mi> <mi>i</mi> </msub> <msub> <mi>&amp;delta;</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>+</mo> <mi>B</mi> <mi>v</mi> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>H</mi> <mi>i</mi> </msub> <msub> <mi>D</mi> <mi>i</mi> </msub> <msub> <mi>&amp;omega;</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>K</mi> <mi>i</mi> </msub> <munder> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>&amp;Element;</mo> <msub> <mi>N</mi> <mi>i</mi> </msub> </mrow> </munder> <msub> <mi>E</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>e</mi> <mi>i</mi> </msub> <mo>(</mo> <mi>k</mi> <mo>)</mo> <mo>-</mo> <msub> <mi>e</mi> <mi>j</mi> </msub> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>-</mo> <mo>(</mo> <mrow> <msub> <mover> <mi>e</mi> <mo>&amp;OverBar;</mo> </mover> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mover> <mi>e</mi> <mo>&amp;OverBar;</mo> </mover> <mi>j</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> <mo>)</mo> <mo>)</mo> <mo>-</mo> <msub> <mi>K</mi> <mi>i</mi> </msub> <msub> <mi>&amp;Theta;</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msubsup> <mi>d</mi> <mrow> <msub> <mi>m</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> <mi>i</mi> </msubsup> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
Wherein,For the evaluated error of i-th of wave filter of k moment,For i-th Individual wave filter k moment evaluated error and event triggering momentThe difference of evaluated error, For event triggering momentThe random perturbation of communication channel between j-th of wave filter and i-th of wave filter, Fij It is the normal matrix for being adapted to dimension;
(7) rememberObtaining whole filter network evaluated error model according to formula (7) is:
<mrow> <mi>e</mi> <mrow> <mo>(</mo> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>=</mo> <mi>H</mi> <mi>&amp;xi;</mi> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>+</mo> <mi>K</mi> <mrow> <mo>(</mo> <msub> <mi>E</mi> <mi>a</mi> </msub> <mover> <mi>e</mi> <mo>&amp;OverBar;</mo> </mover> <mo>(</mo> <mi>k</mi> <mo>)</mo> <mo>-</mo> <mi>&amp;Theta;</mi> <mo>(</mo> <msub> <mi>d</mi> <mi>k</mi> </msub> <mo>)</mo> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
Wherein, ξ (k)=[eT(k),δT(k),vT(k),ωT(k)]T, H =diag { H1,H2,…,HN, C=diag { C1,C2,…,CN, D=diag { D1,D2,…,DN, K=diag { K1,K2,…, KN, aijIt is to be adjacent Number, i=1,2 ... N, j=1,2 ... N,
(8) there is H using the design of Liapunov stability analysis method to filter network evaluated error modelThe filter of stability The constraint matrix of ripple device network;
(9) according to above-mentioned constraint matrix and given periodic event activation threshold value parameter σiAnd εiCalculate filter network In each wave filter local gain HiWith coupling gain Ki
A kind of 3. design method of Distributed filtering network system as claimed in claim 2, it is characterised in that described step (8) following sub-step is included:
(801) establishing Lyapunov Equation is:
V (e (k))=eT(k)Pe(k) (8)
Wherein, P is positive matrices;
(802) difference equation of Lyapunov Equation is solved, is solved using the method for Lyapunov's stability theorem second and to filter Wave network system has HThe constraint matrix of stability:
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mover> <mi>&amp;Phi;</mi> <mo>^</mo> </mover> </mtd> <mtd> <mrow> <mn>2</mn> <msup> <mi>K</mi> <mi>T</mi> </msup> <mi>P</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mn>2</mn> <mi>P</mi> <mi>K</mi> </mrow> </mtd> <mtd> <mrow> <mn>2</mn> <mi>P</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>&amp;GreaterEqual;</mo> <mn>0</mn> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mi>&amp;Pi;</mi> </mtd> <mtd> <mrow> <mn>2</mn> <msup> <mi>&amp;Gamma;</mi> <mi>T</mi> </msup> <mi>P</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mn>2</mn> <mi>&amp;Gamma;</mi> <mi>K</mi> </mrow> </mtd> <mtd> <mrow> <mo>-</mo> <mn>2</mn> <mi>P</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>&amp;le;</mo> <mn>0</mn> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>10</mn> <mo>)</mo> </mrow> </mrow>
Wherein, γ is disturbance rejection Reduction Level,N is wave filter Number, I are N × N-dimensional unit matrix, Φ=diag { Φ12,…ΦN, L is filter network The Laplacian Matrix of the graph structure of composition, IpUnit matrix is tieed up for p × p,ForTie up unit matrix,
A kind of 4. design method of Distributed filtering network system as claimed in claim 3, it is characterised in that described filtering Network system has HStability specifically meets the following steps:
(a) judge whether to consider its exterior disturbance, sensor measurement errors and interchannel noise, if performing step (b), otherwise Perform step (c);
(b) filter network evaluated error meets:
limk→∞Ξ||ei(k)||2≤Mρk (11)
Wherein M and ρ is normal number, and Ξ represents to ask square, and k is discrete time;
(c) filter network evaluated error meets:
<mrow> <mi>&amp;Xi;</mi> <mo>&amp;lsqb;</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>0</mn> </mrow> <mi>&amp;infin;</mi> </munderover> <mi>&amp;psi;</mi> <mo>(</mo> <mrow> <mover> <mi>x</mi> <mo>^</mo> </mover> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> <mo>)</mo> <mo>)</mo> <mo>&amp;rsqb;</mo> <mo>&amp;le;</mo> <mi>&amp;gamma;</mi> <mrow> <mo>(</mo> <mo>|</mo> <mo>|</mo> <mi>x</mi> <mo>(</mo> <mn>0</mn> <mo>)</mo> <mo>|</mo> <msup> <mo>|</mo> <mn>2</mn> </msup> <mi>R</mi> <mo>+</mo> <mo>|</mo> <mo>|</mo> <mi>v</mi> <mo>(</mo> <mi>k</mi> <mo>)</mo> <mo>|</mo> <msubsup> <mo>|</mo> <mn>2</mn> <mn>2</mn> </msubsup> <mo>+</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <mo>(</mo> <mrow> <mo>|</mo> <mo>|</mo> <msub> <mi>&amp;omega;</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>|</mo> <msubsup> <mo>|</mo> <mn>2</mn> <mn>2</mn> </msubsup> <mo>+</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <mo>|</mo> <mo>|</mo> <msub> <mi>&amp;omega;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>|</mo> <msubsup> <mo>|</mo> <mn>2</mn> <mn>2</mn> </msubsup> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>12</mn> <mo>)</mo> </mrow> </mrow>
Wherein R is normal number,X (0) is the initial value of automobile suspension system state.
5. a kind of design method of Distributed filtering network system as claimed in claim 3, it is characterised in that to step (802) constraint matrix obtained is linearized, and is specially:
Make Xi=PiHi, Yi=PiKi, X=diag { X1,X2,…,XN, Y=diag { Y1,Y2,…,YN, by constraint matrix It is transformed to:
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mover> <mi>&amp;Phi;</mi> <mo>^</mo> </mover> </mtd> <mtd> <mrow> <mn>2</mn> <msup> <mi>Y</mi> <mi>T</mi> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mn>2</mn> <mi>Y</mi> </mrow> </mtd> <mtd> <mrow> <mn>2</mn> <mi>P</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>&amp;GreaterEqual;</mo> <mn>0</mn> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>13</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mi>&amp;Pi;</mi> </mtd> <mtd> <mrow> <mn>2</mn> <msup> <mi>&amp;Gamma;</mi> <mo>&amp;prime;</mo> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mn>2</mn> <msup> <mi>&amp;Gamma;</mi> <mrow> <mo>&amp;prime;</mo> <mi>T</mi> </mrow> </msup> </mrow> </mtd> <mtd> <mrow> <mo>-</mo> <mn>2</mn> <mi>P</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>&amp;le;</mo> <mn>0</mn> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>14</mn> <mo>)</mo> </mrow> </mrow>
Wherein,P is positive definite matrix to be solved.
A kind of 6. design method of Distributed filtering network system as claimed in claim 5, it is characterised in that described step (9) following sub-step is specifically included:
(901) given event activation threshold value parameter σiAnd εiInitial value, and meetεi> 0, perform step (902);
(902) by event trigger threshold parameter σiAnd εiσ is entered as respectivelyii1,εii3, And meetεi> 0, wherein Δ1、Δ2And Δ3Respectively σiAnd εiIteration step length;
(903) by σiεiSubstitute into inequality (13) and (14) and solve inequality, if without solution, return to step (902), if There is solution, obtain matrix X, Y and γ;
(904) the transfer rate ο of filter network data message is calculated, judges ο≤οopt,γ≤γoptWhether set up, wherein oopt For anticipatory data transfer rate, γoptFor expected interference rejection ratio, local gain H is calculated if setting upi=Pi -1Xi, coupling gain Ki =Pi -1Xi, otherwise return to step (902).
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