CN107045576A - A kind of comprehensive analysis and its verification method for judging the buffeting of wire feed blower fan - Google Patents
A kind of comprehensive analysis and its verification method for judging the buffeting of wire feed blower fan Download PDFInfo
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Abstract
The comprehensive analysis judged and its verification method are buffeted the present invention relates to a kind of cigarette Pneumatic silk feeding field, more particularly to wire feed blower fan.Constraint formula is expected control and is incorporated into comprehensive analysis and its verification method to judging the buffeting of wire feed blower fan by this method, by deducing out the generating process for causing blower fan to be buffeted to expected control coefrficient σ and mode quantization parameter c, the short time is preferably resolved, the blower fan under the influence of the inferior factor of sporadic and high frequency buffets reason and do not know, analyzes the problem of inaccurate and checking is difficult to.
Description
Technical field
The present invention relates to a kind of cigarette Pneumatic silk feeding field, more particularly to wire feed blower fan buffet the comprehensive analysis that judges and its
Verification method.
Background technology
Pipe tobacco is to manufacture one of important source material of cigarette.During production of cigarettes, first pipe tobacco by cutting, fermentation,
The technological processes such as humidification, adding ingredient, drying, cigarette machine tobacco collecting box is reached by conveying process；Then cigarette machine passes through pipe tobacco
Form plume after shaping, then plume cut into the impartial cigarette of weight by weight control system, last cigarette passes through packing machine
Form parcel and big bar.During this, pipe tobacco is as important and unique circulation medium, so the pipe tobacco in conveying process
Whether can guarantee both quality and quantity to be to determine one of key factor of cigarette product quality height.
Pneumatic silk feeding due to its have fast response time, configuration flexibly, reliability is high the features such as by most of tobacco enterprises
Used, Pneumatic silk feeding provides negative-pressure air-suction by wire feed blower fan, and the pipe tobacco in tobacco collecting box is sent into cigarette by wire feed pipeline
Machine produces cigarette, and in the process, wire feed blower fan can be produced buffeting by windage effect in current fluctuation and airduct, wire feed blower fan,
When blower fan produces buffeting, the air stream of at the uniform velocity rule can become unstable originally, produce many irregular sinuous flows, be referred to as
" turbulent flow ".Although the relatively whole aspirator process time of generation time of turbulent flow is insignificant, but still pipe tobacco can be caused to convey
Abnormal, anomaly is shown：When aspirator wind speed is relatively low, it is easy for producing the phenomenon that pipe tobacco is on the low side or pipe tobacco is blocked, finally
Cigarette machine is caused to be shut down；When aspirator wind speed is higher, the collision and friction of pipe tobacco and tube wall will be increased, increase making for pipe tobacco
It is broken, directly affect the processing quality index such as long filament rate of pipe tobacco.In addition, impeller of blower can be damaged by frequently buffeting, accelerate blower fan
Interior moving component abrasion.The buffeting frequency of general blower fan is all uninterrupted generation from low to high, is moved therefore, how to combine blower fan
Mechanical characteristic, it is to avoid blower fan is buffeted, is the problem for studying wire feed process stability, reduces the method buffeted with reference to miscellaneous equipment,
Method to this proposition has a lot.For example Anhui Science and Technology College (Qiao Yinhu, Yi Kechuan wait the fan blade of intellectual materials to vibrate
Active Control Analysis [J] Detection ＆ Controling, 2009, (9):118-120) propose that two kinds reduce the control strategy that equipment is buffeted, i.e.,
Active damping strategy and VFC strategy, active damping strategy make buffeting obtain effective attenuation or suppression by adjusting damping ratio
System, VFC strategy is not excited by ensureing the main vibration modes of system or forced vibration energy is towards being easy to what is dissipated
Mode is transmitted, so as to reach the purpose that control is buffeted.Guangdong University of Technology (trembles in Li Zhongjuan, Zhang Xinzheng variable structure control theories
Research [J] the Five City University journal for problem of shaking, 2003,17 (3):66-69) analyze common four kinds be used for weaken buffeting
Method after, it is proposed that the buffeting method based on fuzzy neural and using simulation result to prove.Beijing Institute of Technology is (in Asia
Man, Sun Bo waits Spacecraft Sliding mode variable structure control [J] the Aerospace Controls of based on new Reaching Law, 2013,31 (5):
The high frequency for 62-68) being directed to the Spacecraft Sliding mode variable structure control torque brought using switching function buffets problem, it is proposed that
Fuzzy logic carries out self-adapting intelligent processing to the exponential approach rate after improvement, so that the high frequency for suppressing control moment is trembled
Shake.(Jin Hongzhang, Luo Yanming wait to suppress new saturation function method research [J] the Harbin that sliding formwork is buffeted for Harbin Engineering University
Engineering college journal, 2007,28 (3):A kind of saturation function control method with dynamic boundary layer 288-291) is proposed, should
Method can be such that boundary layer is gradually tapered up with the convergence of state trajectory, so as to reduce the buffeting frequency in state trajectory.Chinese ore deposit
Sparetime university (Zheng Chexiao, Sun Wei, wait a kind of method design [J] Chinese science and technologies paper for suppressing to buffet of variable-structure controls online,
2011) devise and a kind of by Reaching Law and traditional PID control method and use saturation function for traditional structure changes of switching function
Control is compared, so as to obtain a kind of new method that there is the weakening of good control effect to buffet.Xi'an electronics technology is big
Learn (characteristic research buffeted in Shen Yu Sliding mode variable structure controls and suppression [D] Xian Electronics Science and Technology University dissertation for the bachelor's degree,
2012) propose a kind of use and be broadly described function method stability criterion and structure changes handoff gain adaptive regulation method, be used for
Compensation of gear clearance controller and two class Second Order Sampling variable-structure controllers of the design with smaller buffeting characteristic.Ordnance Engineering College
(Xi Leiping, Chen Zili, wait to have and buffet rejection characteristic mechanical arm quick Sliding mode variable structure control [J] Electric Machines and Controls,
2012,16(7):97-102) propose a kind of Sliding mode variable structure control plan based on new sliding-mode surface and fuzzy power Reaching Law
Slightly, improve the convergence rate in Sliding mode variable structure control sliding motion stage, can ensure buffet inhibition on the premise of,
The convergence movement velocity of raising system.(child is super, and Chen Li are based on fuzzy power and become for Mechanicac Engineering and Automation institute of University of Fuzhou
The quick Sliding mode variable structure control of Free-floating space robot [J] closely restrained, 2015,10 (3):45-51) discuss a kind of based on mould
The quick sliding mode variable structure control method of power Reaching Law is pasted, this method can make mechanical arm buffet the effect suppressed substantially, together
When also ensure that the Trajectory Tracking Control effect of system.Tsing-Hua University's (class Sliding Mode Variable Structure Systems of Yang Pu, Zhang Zengke mono-
Chatter control [J], 2005,45 (1):34-42) by the buffeting process of Sliding mode variable structure control under analysis index tendency rate,
The quantitative relationship between buffeting amplitude, cycle and tendency rate parameter, the rate of change of controlled quentity controlled variable is given, to weaken stopper with certain
The buffeting of amplitude and frequency.(Huang Hua, Li Guang wait mechanical arm sliding-mode control researchs of the based on Reaching Law for Hunan University of Technology
[J],2013,27(1):62-66) analyze and devise exponentially approaching rule, based on this, study and optimize the fortune of mechanical arm
Phoronomics characteristic, reduces buffeting of the mechanical arm in motion process.
Buffeting is Fan Equipment common phenomenon in the process of running, and slight buffeting is normal phenomenon, but if frequently
Or the buffeting that has serious abnormal sound be that can influence the service life of fan blade inner components, cause irreversible damage.By
It is the running environment of a closing in blower fan, it is all by slightly gradually developing into serious process, when generation is serious that blower fan, which is buffeted,
With regard to necessary shutdown maintenance during buffeting, part is changed, this can cause Influence of production and economic loss, so how to prejudge blower fan
Buffeting situation, is to reduce one of measure of blower fan system fault impact risk to suppress or eliminate buffeting trend.Above-mentioned document is more
Many is the method using adjustment Reaching Law, and to judge whether to reduce amplitude, cycle and the rate of change buffeted, this is applied to have
With respect to common-path interference, the object of interruption disturbance, but because blower fan is by systematic parameter itself and external environment condition (electric current, high-intensity magnetic field)
Influence it is larger, noiseproof feature is relatively weak, easily produces the persistent disturbances that can not be predicted, so on stricti jurise,
Method using adjustment Reaching Law judges that for the blower fan system with inscrutability and persistent disturbances be nonsensical.
The content of the invention
The technical problem to be solved in the present invention is to provide a kind of comprehensive analysis and its authentication for judging the buffeting of wire feed blower fan
Method, is expected control by constraint formula and is incorporated into comprehensive analysis and its verification method to judging the buffeting of wire feed blower fan, by pre-
Phase control coefrficient σ and mode quantization parameter c deduce out the generating process for causing blower fan to be buffeted, and preferably resolve short time, idol
Blower fan under the influence of hair property and the inferior factor of high frequency buffets reason and does not know, analyzes the problem of inaccurate and checking is difficult to.
The present invention is for the technical method that is used of solution above-mentioned technical problem：
A kind of comprehensive analysis and its verification method for judging the buffeting of wire feed blower fan, this method includes comprehensive analysis and authentication
Method, described comprehensive analysis comprises the following steps：
1) it is random within an equipment line sending period that the instantaneous wind pressure of wire feed blower negative pressure air draught and the process of air quantity are become
Amount is sampled, and obtains sampling matrix W=(N*S), and wherein N is sampled point number, and S is monitored parameterses number；Repeat T production
Period, obtain corresponding data matrix W'=(T*N*Si), wherein SiFor the sampled point number in i-th of dedusting period；
2) data matrix described in is calculated according to constrained variational principle, obtains the pact beam control buffeted for wire feed blower fan
Factor sigma processed, i.e.,See the supply air system of wire feed blower fan as constraint formula and be expected control
System, the comprehensive analysis to process of blowing uses the infinitely great regulation and control control method of bounded, gain；
3) the air-supply process setting described in is two rank functions, and its supply air system is regulated and controled：When blower fan work is in surely
Regularly, then there are y=x, wherein y0=y, x0=x, wherein y are amplitude, and x is vibration frequency, and its start and stop switching condition isWherein σ is constraint control coefrficient, and c is mode quantization parameter；If when blower fan is buffeted, y0 and x0 change
Change can deviate from supply air system expection, and its corresponding relation is corresponding with the biased error that constraint formula is expected control, i.e.,Wherein VxσFor supply air system control coefrficient changing value, xcEstimating after quantifying for supply air system mode
Value, xuFor supply air system biased error value；And it is x to specify supply air system original stateoUnder conditions of ＜ 0 and σ ＞ 0, wherein xo
For supply air system initial state value；
3) what if the supply air system described in can regulate and control, then according to the factor sigma energy that regulation and control method is designed before this
Enough ensure that supply air system meets (x0',xσ') initial value, i.e., in tRC=tσ-t0Period, tσControl process is constrained for supply air system
Time, t0For supply air system original state time, tRCFor the expected control time of supply air system constraint；Make supply air system from (x0',
xσ') original state reach c mode and quantify state, this process, which is easy for blower fan, can meet the amount that constraint formula is expected control
Change state, process is as shown in Figure 1；
4) (x in Fig. 1 described in, figure0',xσ') slope of line is expressed as d=-x between origin O (0,0)σ/x0；σ ＞
0 equivalent to Δ d=xσ-x0＞ 0, during blower fan supply air system state convergence quantifies state c, must there is a d ＜ 0, therefore x+dx=0 institutes
The blower fan supply air system operating mode mode convergence rate of representative is different from the operating mode mode convergence rate representated by c, that is to say, that wind
Operating mode mode convergence rate of the machine supply air system under also incomplete quantization state is more than constraint formula and is expected institute's generation under state of a control
The operating mode mode convergence rate of table, the buffeting of blower fan is also obvious；In supply air system from (x0',xσ') to c approach procedure
In, its convergence rate gradually decreases to, i.e. d → c consistent with c convergence rate, and the approach procedure is referred to as balance, conversely, being then
Buffet；
5) c that the factor sigma described in is solved under blower fan start and stop switching condition (σ ' ＜ 0, σ ＞ 0), which exists, to be possible to not
The phenomenon of c equivalences designed under supply air system operating mode mode convergence state is same as, because σ when blower fan produces buffeting has
The possibility of over-limit condition, there is no assurance that blower fan is constantly in stable state, if after the convergence of supply air system operating mode mode
Still occur blower fan to buffet, then the expected not achievable phenomenon of control must occur；
6) described in when there is expectations of control not achievable phenomenon, slope d now is not equal to c, flat with x+cx=0
The state that capable straight line x'+cx ≠ 0, i.e. blower fan supply air system mode quantify can not meet constraint formula condition, so supply air system
The meaning of expectations of control can not be played；, can be by the upper and lower translation of x+cx ≠ 0 although its slope is not equal to quantization parameter c；Institute
Slope can be equal into c using the method for translation, result is convergent change procedure (i.e. (x (t), x'(t))) there are two kinds of possibility,
As shown in Fig. 2 wherein the 1st kind may illustrate that blower fan buffets controllable, the 2nd kind may illustrate that blower fan is buffeted to regulate and control；
7) in Fig. 2 described in, curve 1 shows controllable when blower fan is buffeted, and curve 2 shows to regulate and control, in blower fan
During supply air system convergence quantifies c, because the supply air system convergence process of d ＞ 0 must first dissipate, quantify c another point is then evolved into
Branch, then it is non-unidirectional convergence process that blower fan, which buffets the process for tending to stable,；
8) method of the above-mentioned analysis correctness of checking described in includes two steps, and first step is to determine that blower fan is sent
The start and stop switching function σ (x) of wind system；Second step is to reach expected control by meeting mode quantization coefficient of regime c
Purpose；
First step comprises the following steps：
1) in first step described in, it is assumed that by the object of blower fan chatter control problem, i.e. fan condition state representation
For：S=A (x)+B (y) * 0.5, wherein A (x) represent the frequent transformation matrices of vibration, and B (y) represents amplitude variations matrix, and c is represented
Mode quantization parameter；Because A (x) is n × n dimension matrixes, B (y) is n × m dimension matrixes, so s is n-dimensional vector, c ∈ Rm×n, then wind
The function that the start and stop switching function σ (x) of machine supply air system is appointed as state variable linear combination is equivalent to：σ (x)=s=A
(x)+B(y)*c；
2) in the function equation described in, mode quantization parameter c ∈ Rm×n, it is the linear combination coefficient of switching function, its quilt
Control object is represented by matrix：Wherein x1, x2 are respectively that blower fan is gathered when buffeting
The instantaneous wind pressure of negative-pressure air-suction and the process variable of air quantity, if now in gatherer process, it is assumed that desired fan condition dynamic
Process is asymptotically stable, then corresponding σ (x) is：σ (x)=[c, 1] [x1,x2]T=0, wherein x1 and x2 span claim
For blower fan supply air system start and stop switching function σ (x) domain of the existence, θ is designated as, in addition blower fan mode quantization parameter c value model
Enclose and be related to many-side, for example, the stability of expectations of control method is buffeted to blower fan, it is contemplated that the rapidity of regulation and control method dynamic process
Deng；
3) span of the blower fan mode quantization parameter c described in, if wanting, reducing blower fan buffets, and meets method Asymptotic Stability
The requirement of property, it is only necessary to c ＞ 0, according to the x1 scopes that may change and to expectations of control method dynamic process rapidity requirement come
Reduce and buffet, for example, specify c=0.5, then fan condition state S is defined as：x2=-0.5x1, -2 ＜ x1＜ 2, it is S presence
Region θσIn, skew symmetry is in the two lines section S1 and S2 of zero point, as shown in figure 3, θ in figureσFor S field；If it is desired to persistently subtract
It is weak to buffet, and there is no particular requirement to method rapidity, then only need to reduce c and c>0, make method rapidity far below air-supply system
System rapidity；
Second step comprises the following steps：
1) in the second step described in, the approach that c moves supply air system from x0 on S has two：σ (x) ＞ 0 draw x
Onto Sp, or it is stable that σ (x) ＜ 0 move x on SN to, and wherein Sp is predicted state, and SN is regulation and control state；σ (x) ＞ 0 draw x
Onto SN, or σ (x) ＜ 0 move x on Sp as buffeting to；Although they all reach S, dynamic process x0(t) it is different；If steady
It is fixed, x0(t) non-overshoot is unidirectionally restrained；If buffeting, x0(t) then overshoot；Stable or buffeting, depending on c determination method；
2) approach described in, using this condition, obtaining the inequality controlled isReferred to as second
The additional conditions of step, c can be solved according to additional conditions, on the premise of assert that c is constant, there is σ (x)=cx, by this formula generation
Enter expression formula x=A (x)+B (x) * C, wherein x (t0)=x0, while substituting into error coefficient u, expression formula can be obtained：σ (x)=cA (x)+
CB (x) u, it is assumed that (cB (x))-1In the presence of the error coefficient u ' that can try to achieve the expection control of constraint formula is：U'=-csgn (σ (x)), formula
Middle u ' is metRequirement；
3) constraint formula described in is expected the error coefficient u ' of control expression formula, i.e. u'=-csgn (σ (x)) with controlled pair
As both expression formulas form closed-loop control；
4) expression formula of the error coefficient u described in is illustrated, and for example willU'=[0.5
1] error coefficient u ' expression formula is put into, the start stop mode air-blower control expression formula that must can illustrate is：U'=-0.5sgn (σ (x))；This
When u ' and controlled device expression formula (x=A (x)+B (x) * C, wherein x (t0)=x0) form closed-loop control.
Constraint formula is expected to control to be incorporated into the comprehensive analysis and its verification method to judging the buffeting of wire feed blower fan by the present invention
In, by deducing out the generating process for causing blower fan to be buffeted to expected control coefrficient σ and mode quantization parameter c, preferably solve
Blower fan under the influence of short time, the inferior factor of sporadic and high frequency buffets reason and does not know, analyzes inaccurate and checking and be difficult to
The problem of realizing.
Brief description of the drawings
Fig. 1 is system convergence controllable state procedure figure.
Fig. 2 is (x (t), x'(t)) two kinds of change procedure may figure.
Fig. 3 is system asymptotic stability procedure chart.
Fig. 4 is the present invention and system block diagram.
Embodiment
Comprehensive analysis and its verification method that a kind of judgement wire feed blower fan as shown in Figure 4 is buffeted, this method include integrating
Analysis and verification method, described comprehensive analysis comprise the following steps：
1) it is random within an equipment line sending period that the instantaneous wind pressure of wire feed blower negative pressure air draught and the process of air quantity are become
Amount is sampled, and obtains sampling matrix W=(N*S), and wherein N is sampled point number, and S is monitored parameterses number；Repeat T production
Period, obtain corresponding data matrix W'=(T*N*Si), wherein SiFor the sampled point number in i-th of dedusting period；
2) data matrix described in is calculated according to constrained variational principle, obtains the pact beam control buffeted for wire feed blower fan
Factor sigma processed, i.e.,See the supply air system of wire feed blower fan as constraint formula and be expected control
System, the comprehensive analysis to process of blowing uses the infinitely great regulation and control control method of bounded, gain；
3) the air-supply process setting described in is two rank functions, and its supply air system is regulated and controled：When blower fan work is in surely
Regularly, then there are y=x, wherein y0=y, x0=x, wherein y are amplitude, and x is vibration frequency, and its start and stop switching condition isWherein σ is constraint control coefrficient, and c is mode quantization parameter；If when blower fan is buffeted, y0 and x0 change
Change can deviate from supply air system expection, and its corresponding relation is corresponding with the biased error that constraint formula is expected control, i.e.,Wherein VxσFor supply air system control coefrficient changing value, xcEstimating after quantifying for supply air system mode
Value, xuFor supply air system biased error value；And it is x to specify supply air system original stateoUnder conditions of ＜ 0 and σ ＞ 0, wherein xo
For supply air system initial state value；
3) what if the supply air system described in can regulate and control, then according to the factor sigma energy that regulation and control method is designed before this
Enough ensure that supply air system meets (x0',xσ') initial value, i.e., in tRC=tσ-t0Period, tσControl process is constrained for supply air system
Time, t0For supply air system original state time, tRCFor the expected control time of supply air system constraint；Make supply air system from (x0',
xσ') original state reach c mode and quantify state, this process, which is easy for blower fan, can meet the amount that constraint formula is expected control
Change state, process is as shown in Figure 1；
4) (x in Fig. 1 described in, figure0',xσ') slope of line is expressed as d=-x between origin O (0,0)σ/x0；σ ＞
0 equivalent to Δ d=xσ-x0＞ 0, during blower fan supply air system state convergence quantifies state c, must there is a d ＜ 0, therefore x+dx=0 institutes
The blower fan supply air system operating mode mode convergence rate of representative is different from the operating mode mode convergence rate representated by c, that is to say, that wind
Operating mode mode convergence rate of the machine supply air system under also incomplete quantization state is more than constraint formula and is expected institute's generation under state of a control
The operating mode mode convergence rate of table, the buffeting of blower fan is also obvious；In supply air system from (x0',xσ') to c approach procedure
In, its convergence rate gradually decreases to, i.e. d → c consistent with c convergence rate, and the approach procedure is referred to as balance, conversely, being then
Buffet；
5) c that the factor sigma described in is solved under blower fan start and stop switching condition (σ ' ＜ 0, σ ＞ 0), which exists, to be possible to not
The phenomenon of c equivalences designed under supply air system operating mode mode convergence state is same as, because σ when blower fan produces buffeting has
The possibility of over-limit condition, there is no assurance that blower fan is constantly in stable state, if after the convergence of supply air system operating mode mode
Still occur blower fan to buffet, then the expected not achievable phenomenon of control must occur；
6) described in when there is expectations of control not achievable phenomenon, slope d now is not equal to c, flat with x+cx=0
The state that capable straight line x'+cx ≠ 0, i.e. blower fan supply air system mode quantify can not meet constraint formula condition, so supply air system
The meaning of expectations of control can not be played；, can be by the upper and lower translation of x+cx ≠ 0 although its slope is not equal to quantization parameter c；Institute
Slope can be equal into c using the method for translation, result is convergent change procedure (i.e. (x (t), x'(t))) there are two kinds of possibility,
As shown in Fig. 2 wherein the 1st kind may illustrate that blower fan buffets controllable, the 2nd kind may illustrate that blower fan is buffeted to regulate and control；
7) in Fig. 2 described in, curve 1 shows controllable when blower fan is buffeted, and curve 2 shows to regulate and control, in blower fan
During supply air system convergence quantifies c, because the supply air system convergence process of d ＞ 0 must first dissipate, quantify c another point is then evolved into
Branch, then it is non-unidirectional convergence process that blower fan, which buffets the process for tending to stable,；
8) method of the above-mentioned analysis correctness of checking described in includes two steps, and first step is to determine that blower fan is sent
The start and stop switching function σ (x) of wind system；Second step is to reach expected control by meeting mode quantization coefficient of regime c
Purpose；
First step comprises the following steps：
1) in first step described in, it is assumed that by the object of blower fan chatter control problem, i.e. fan condition state representation
For：S=A (x)+B (y) * 0.5, wherein A (x) represent the frequent transformation matrices of vibration, and B (y) represents amplitude variations matrix, and c is represented
Mode quantization parameter；Because A (x) is n × n dimension matrixes, B (y) is n × m dimension matrixes, so s is n-dimensional vector, c ∈ Rm×n, then wind
The function that the start and stop switching function σ (x) of machine supply air system is appointed as state variable linear combination is equivalent to：σ (x)=s=A
(x)+B(y)*c；
2) in the function equation described in, mode quantization parameter c ∈ Rm×n, it is the linear combination coefficient of switching function, its quilt
Control object is represented by matrix：Wherein x1, x2 are respectively that blower fan is gathered when buffeting
The instantaneous wind pressure of negative-pressure air-suction and the process variable of air quantity, if now in gatherer process, it is assumed that desired fan condition dynamic
Process is asymptotically stable, then corresponding σ (x) is：σ (x)=[c, 1] [x1,x2]T=0, wherein x1 and x2 span claim
For blower fan supply air system start and stop switching function σ (x) domain of the existence, θ is designated as, in addition blower fan mode quantization parameter c value model
Enclose and be related to many-side, for example, the stability of expectations of control method is buffeted to blower fan, it is contemplated that the rapidity of regulation and control method dynamic process
Deng；
3) span of the blower fan mode quantization parameter c described in, if wanting, reducing blower fan buffets, and meets method Asymptotic Stability
The requirement of property, it is only necessary to c ＞ 0, according to the x1 scopes that may change and to expectations of control method dynamic process rapidity requirement come
Reduce and buffet, for example, specify c=0.5, then fan condition state S is defined as：x2=-0.5x1, -2 ＜ x1＜ 2, it is S presence
Region θσIn, skew symmetry is in the two lines section S1 and S2 of zero point, as shown in figure 3, θ in figureσFor S field；If it is desired to persistently subtract
It is weak to buffet, and there is no particular requirement to method rapidity, then only need to reduce c and c>0, make method rapidity far below air-supply system
System rapidity；
Second step comprises the following steps：
1) in the second step described in, the approach that c moves supply air system from x0 on S has two：σ (x) ＞ 0 draw x
Onto Sp, or it is stable that σ (x) ＜ 0 move x on SN to, and wherein Sp is predicted state, and SN is regulation and control state；σ (x) ＞ 0 draw x
Onto SN, or σ (x) ＜ 0 move x on Sp as buffeting to；Although they all reach S, dynamic process x0(t) it is different；If steady
It is fixed, x0(t) non-overshoot is unidirectionally restrained；If buffeting, x0(t) then overshoot；Stable or buffeting, depending on c determination method；
2) approach described in, using this condition, obtaining the inequality controlled isReferred to as second
The additional conditions of step, c can be solved according to additional conditions, on the premise of assert that c is constant, there is σ (x)=cx, by this formula generation
Enter expression formula x=A (x)+B (x) * C, wherein x (t0)=x0, while substituting into error coefficient u, expression formula can be obtained：σ (x)=cA (x)+
CB (x) u, it is assumed that (cB (x))-1In the presence of the error coefficient u ' that can try to achieve the expection control of constraint formula is：U'=-csgn (σ (x)), formula
Middle u ' is metRequirement；
3) constraint formula described in is expected the error coefficient u ' of control expression formula, i.e. u'=-csgn (σ (x)) with controlled pair
As both expression formulas form closed-loop control；
4) expression formula of the error coefficient u described in is illustrated, and for example willU'=[0.5
1] error coefficient u ' expression formula is put into, the start stop mode air-blower control expression formula that must can illustrate is：U'=-0.5sgn (σ (x))；This
When u ' and controlled device expression formula (x=A (x)+B (x) * C, wherein x (t0)=x0) form closed-loop control.
Claims (1)
1. a kind of comprehensive analysis and its verification method for judging the buffeting of wire feed blower fan, it is characterised in that this method includes comprehensive analysis
And verification method, described comprehensive analysis comprises the following steps：
1) instantaneous wind pressure of wire feed blower negative pressure air draught and the process variable of air quantity are entered at random within an equipment line sending period
Row sampling, obtains sampling matrix W=(N*S), and wherein N is sampled point number, and S is monitored parameterses number；When repeating T production
Section, obtains corresponding data matrix W'=(T*N*Si), wherein SiFor the sampled point number in i-th of dedusting period；
2) data matrix described in is calculated according to constrained variational principle, obtains the constraint control system buffeted for wire feed blower fan
Number σ, i.e.,See the supply air system of wire feed blower fan as constraint formula and be expected control, it is right
The comprehensive analysis of air-supply process is using the infinitely great regulation and control control method of bounded, gain；
3) the air-supply process setting described in is two rank functions, and its supply air system is regulated and controled：When blower fan work, which is in, to be stablized,
Then there are y=x, wherein y0=y, x0=x, wherein y are amplitude, and x is vibration frequency, and its start and stop switching condition isIts
Middle σ is constraint control coefrficient, and c is mode quantization parameter；If when blower fan is buffeted, y0With x0Change can deviate from air-supply
System is expected, and its corresponding relation is corresponding with the biased error that constraint formula is expected control, i.e.,Wherein VxσFor
Supply air system control coefrficient changing value, xcDiscreet value after quantifying for supply air system mode, xuFor supply air system biased error value；
And it is x to specify supply air system original stateo<0 and σ>Under conditions of 0, wherein xoFor supply air system initial state value；
3) what if the supply air system described in can regulate and control, then can be protected according to the factor sigma that regulation and control method is designed before this
Card supply air system meets (x0',xσ') initial value, i.e., in tRC=tσ-t0Period, tσWhen constraining control process for supply air system
Between, t0For supply air system original state time, tRCFor the expected control time of supply air system constraint；Make supply air system from (x0',xσ')
Original state reach c mode and quantify state, this process, which is easy for blower fan, can meet the quantization shape that constraint formula is expected control
State, process is as shown in Figure 1；
4) (x in Fig. 1 described in, figure0',xσ') slope of line is expressed as d=-x between origin O (0,0)σ/x0；σ>0 is suitable
In △ d=xσ-x0>0, during blower fan supply air system state convergence quantifies state c, there must be d<0, therefore the wind representated by x+dx=0
Machine supply air system operating mode mode convergence rate is different from the operating mode mode convergence rate representated by c, that is to say, that blower fan air-supply system
The operating mode mode convergence rate united under also incomplete quantization state is more than constraint formula and is expected operating mode representative under state of a control
Mode convergence rate, the buffeting of blower fan is also obvious；In supply air system from (x0',xσ') into c approach procedure, it is restrained
Speed gradually decreases to, i.e. d → c consistent with c convergence rate, and the approach procedure is referred to as balance, conversely, being then buffeting；
5) factor sigma described in is in blower fan start and stop switching condition (σ '<0,σ>0) c solved under, which there are, to be likely differed from
The phenomenon of the c equivalences designed under supply air system operating mode mode convergence state, because σ when blower fan produces buffeting has more than pole
The possibility of limit value, there is no assurance that blower fan is constantly in stable state, if still being sent out after the convergence of supply air system operating mode mode
Raw blower fan is buffeted, then the expected not achievable phenomenon of control must occurs；
6) described in when there is expectations of control not achievable phenomenon, slope d now is not equal to c, parallel with x+cx=0
The state that straight line x'+cx ≠ 0, i.e. blower fan supply air system mode quantify can not meet constraint formula condition, so supply air system can not
Play the meaning of expectations of control；, can be by the upper and lower translation of x+cx ≠ 0 although its slope is not equal to quantization parameter c；So can
Slope is equal to by c using the method for translation, result is convergent change procedure (i.e. (x (t), x'(t))) there are two kinds of possibility, such as scheme
Shown in 2, wherein the 1st kind may illustrate that blower fan buffets controllable, the 2nd kind may illustrate that blower fan is buffeted to regulate and control；
7) in Fig. 2 described in, curve 1 shows controllable when blower fan is buffeted, and curve 2 shows to regulate and control, in blower fan air-supply
During system convergence quantifies c, because of d>0 supply air system convergence process must first dissipate, and then be evolved into another branch for quantifying c, then
It is non-unidirectional convergence process that blower fan, which buffets the process for tending to stable,；
8) method of the above-mentioned analysis correctness of checking described in includes two steps, and first step is to determine blower fan air-supply system
The start and stop switching function σ (x) of system；Second step is to reach the mesh of expected control by meeting mode quantization coefficient of regime c
's；
First step comprises the following steps：
1) in first step described in, it is assumed that by the object of blower fan chatter control problem, i.e. fan condition state representation is：s
=A (x)+B (y) * 0.5, wherein A (x) represent the frequent transformation matrices of vibration, and B (y) represents amplitude variations matrix, and c represents mode amount
Change coefficient；Because A (x) is n × n dimension matrixes, B (y) is n × m dimension matrixes, so s is n-dimensional vector, c ∈ Rm×n, then blower fan air-supply
The function that the start and stop switching function σ (x) of system is appointed as state variable linear combination is equivalent to：σ (x)=s=A (x)+B
(y)*c；
2) in the function equation described in, mode quantization parameter c ∈ Rm×n, it is the linear combination coefficient of switching function, its controlled pair
As being represented by matrix：Wherein x1、x2The negative pressure gathered when respectively blower fan is buffeted
The instantaneous wind pressure of air draught and the process variable of air quantity, if now in gatherer process, it is assumed that desired fan condition dynamic process
It is asymptotically stable, then corresponding σ (x) is：σ (x)=[c, 1] [x1,x2]T=0, wherein x1And x2Span be referred to as blower fan
Supply air system start and stop switching function σ (x) domain of the existence, is designated as θ, and blower fan mode quantization parameter c span is related in addition
Many-side, for example, buffet the stability of expectations of control method to blower fan, it is contemplated that rapidity of regulation and control method dynamic process etc.；
3) span of the blower fan mode quantization parameter c described in, if wanting, reducing blower fan buffets, and meets method asymptotic stability
It is required that, it is only necessary to c>0, according to x1Scope and trembled to expectations of control method dynamic process rapidity requirement to reduce that possibility changes
Shake, for example, specify c=0.5, then fan condition state S is defined as：x2=-0.5x1,-2<x1<2, it is S domain of the existence θσ
In, skew symmetry is in the two lines section S of zero point1And S2, as shown in figure 3, θ in figureσFor S field；If it is desired to which lasting weaken trembles
Shake, and there is no particular requirement to method rapidity, then only need to reduce c and c>0, make method rapidity fast far below supply air system
Speed；
Second step comprises the following steps：
1) in the second step described in, c is by supply air system from x0Moving the approach on S to has two：σ(x)>0 moves x to SpOn,
Or σ (x)<0 moves x to SNUpper is stable, wherein SpFor predicted state, SNFor regulation and control state；σ(x)>0 moves x to SNOn, or σ
(x)<0 moves x to SpUpper is to buffet；Although they all reach S, dynamic process x0(t) it is different；If stable, x0(t) it is unidirectional
Restrain non-overshoot；If buffeting, x0(t) then overshoot；Stable or buffeting, depending on c determination method；
2) approach described in, using this condition, obtaining the inequality controlled isReferred to as second step
Additional conditions, c can be solved according to additional conditions, on the premise of assert that c is constant, there is σ (x)=cx, this formula is substituted into table
Up to formula x=A (x)+B (x) * C, wherein x (t0)=x0, while substituting into error coefficient u, expression formula can be obtained：σ (x)=cA (x)+cB
(x) u, it is assumed that (cB (x))-1In the presence of the error coefficient u ' that can try to achieve the expection control of constraint formula is：In u'=-csgn (σ (x)), formula
U ' is metRequirement；
3) the constraint formula described in is expected the error coefficient u ' of control expression formula, i.e. u'=-csgn (σ (x)) and controlled device table
Closed-loop control is formd up to both formulas；
4) expression formula of the error coefficient u described in is illustrated, and for example willU'=[0.5 1] is put
Enter error coefficient u ' expression formula, the start stop mode air-blower control expression formula that must can illustrate is：U'=-0.5sgn (σ (x))；Now u '
With controlled device expression formula (i.e. x=A (x)+B (x) * C, wherein x (t0)=x0) form closed-loop control.
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