CN103760770B - Distribution type generalized forecast control method based on positive and negative input system - Google Patents
Distribution type generalized forecast control method based on positive and negative input system Download PDFInfo
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Abstract
The invention discloses distribution type generalized forecast control method based on positive and negative input system, include following steps: obtain the positive and negative input of this system and positive and negative input parameter;It is single input parameter by positive and negative input parameter synthesis;Utilize GPC algorithm and single input parameter to align, reverse pumping enters to process, thus obtains single input;Time lag according to the equivalence relation between positive and negative input and single input and positive and negative input calculates the expection positive input of positive and negative input system or expection reverse pumping enters, and then aligns anti-input system and be controlled.The present invention is by being single input parameter by positive and negative input parameter synthesis, the time lag characteristic utilizing GPC algorithm and positive and negative input calculates, control process is reflected in single input parameter, thus realize pinpoint accuracy, and reduce the energy during controlling or the consumption of material.The present invention can be widely applied to Industry Control as a kind of distribution type generalized forecast control method based on positive and negative input system.
Description
Technical field
The present invention relates to industrial control method, be based especially on the distribution type generalized predictive control side of positive and negative input system
Method.
Background technology
Positive and negative input system is widely present in Industry Control, refers in a control system, have two run counter to defeated
Entering signal, positive input system makes output produce positive-effect, and negative input system makes output produce negative effect.The existence of this system is
Because controller needs positive input to obtain the result wanted sometimes, but sometimes needs negative input unnecessary to remove
Energy.
Major part technology, is the most also limited to separately consider, even if entirety is put two positive and negative input variables at present
Consider also not account for the characteristic of different input variables together.For the control of positive and negative input system, mainly there are two classes, one
Class is individually to control for positive and negative two different controllers of two In-put designs, typically has: double PID control, for two not
Same control system, separately designs a set of PID controller and carries out control respectively.Double PID are controlled, in certain condition
Under, reasonable control result can be obtained.But due to positive and negative input in this case, can open simultaneously, thus shine into energy
The waste in source.This is primarily due to these methods does not has positive and negative two inputs to integrate consideration.
An other class is Staged cotrol for the method for positive and negative input system, such as PID type Staged cotrol.This kind of method sets
The controller of meter is summarized as one positive and negative input and handles variable, and then design PID controller controls, at output result
Which interval to distribute control positive input in or reverse pumping enters.For PID type Staged cotrol, this control method is due to time each
Carve only one of which input can be opened, the energy can be saved, but owing to not accounting for positive and negative input to the response characteristic of output be
Different, particularly manipulation variable switches near zero when, the control result obtained can deteriorate.So this is a kind of
By the method that infringement control performance is energy-conservation.In a lot of production processes, low precision controlling is the quality that can damage product
's.Such as: in plastic extrusion production process, first barrel is preheated, when temperature arrives setting value, electricity can be started
Machine, at this moment raw material can enter barrel along hopper, and under the shear action of screw rod and barrel, material melts and is sent to extrusion
Machine die head, and by after mouth die molding, it is thus achieved that the product wanted.In whole extrusion, the process variable pair such as temperature, pressure
Product quality is most important, and the fluctuation of temperature can cause the fluctuation of product quality, and for some temperature-sensitive materials, temperature is too high also
It is likely to result in material degradation, causes the generation of waste material, so accurate temperature controls most important.But existing extruder
Temperature control system, major part makes a search just for heating system, not in view of the control of cooling system.Cooling system
The unnecessary heat produced when system is for taking away screw rod rotational shear material.In recent years, some temperature control systems are had to consider
The control of cooling system, but it is undesirable to control result, and adding gentle cooling can constantly switch, and wastes the energy.
Summary of the invention
In order to solve above-mentioned technical problem, it is an object of the invention to: a kind of high accuracy based on positive and negative input system is provided
And the distribution type generalized forecast control method of good energy-conserving effect.
The technical solution adopted in the present invention is: distribution type generalized forecast control method based on positive and negative input system, bag
Include following steps:
A, sensor from positive and negative input system obtain the positive input of this system, reverse pumping enters, positive input parameter and reverse pumping enter
Parameter;
B, positive input parameter and reverse pumping enter parameter synthesis is single input parameter;
C, utilize GPC algorithm and single input parameter to enter to process to positive input and reverse pumping, thus obtain
Single input;
D, enter the time lag that the equivalence relation between single input, the time lag of positive input and reverse pumping enter according to positive input, reverse pumping
The expection positive input or the expection reverse pumping that calculate positive and negative input system enter;
E, enter to align anti-input system be controlled according to expection positive input or expection reverse pumping.
Further, in described step A, positive input parameter includes positive input Delay Parameters θh, positive input gain KhThe most defeated
Angle of incidence constant, τh, described reverse pumping enters parameter and includes anti-input delay parameter θc, anti-input gain KcWith anti-input time constant
τc。
Further, in described step B, single input parameter includes single input Delay Parameters θ, single input gain K and single input
Timeconstantτ, the computing formula of described single input parameter is respectively With θ=min (θh,
θc)。
Further, described positive input, reverse pumping enter the equivalence relation between single input and are: corresponding the most defeated of described positive input
The total output going out to enter corresponding reinfusion with described reverse pumping should be equal to the list output corresponding to single input.
Further, during described expection positive input and expection reverse pumping enter, at least the value of is zero.
Further, described positive and negative input system is temperature control system, and described positive input is power of heating, and described reverse pumping enters
For cooling power.
Further, described positive and negative input system is in PH and control system, and described positive input is alkaline reagent amount, described instead
Input is acid reagent amount.
Further, described positive and negative input system is control pressurer system, and described positive input is aeration quantity, described reverse pumping enter for
Rate of air sucked in required.
The invention has the beneficial effects as follows: the present invention enters parameter also by reading positive input parameter and reverse pumping during controlling
Both are synthesized single input parameter, has considered the positive and negative input in positive and negative input system, then utilized Generalized Prediction control
The time lag characteristic of algorithm processed and positive and negative input calculates, and control process is reflected in single input parameter, thus real
The energy during controlling or the consumption of material is reduced on the basis of having ensured now control accuracy.
Accompanying drawing explanation
Fig. 1 is the method step flow chart of the present invention;
Fig. 2 dual input single output system schematic diagram;
Fig. 3 is extruder sketch;
Fig. 4 is that AGPC of the present invention controls result;
Fig. 5 is that traditional double SISO GPC controls result;
Fig. 6 is energy expenditure comparison diagram;
Fig. 7 controls result for point journey PID;
Fig. 8 is the control result that AGPC controls for barrel temperature.
Detailed description of the invention
Below in conjunction with the accompanying drawings the detailed description of the invention of the present invention is described further:
With reference to Fig. 1, distribution type generalized forecast control method based on positive and negative input system, include following steps:
A, sensor from positive and negative input system obtain the positive input of this system, reverse pumping enters, positive input parameter and reverse pumping enter
Parameter;
B, positive input parameter and reverse pumping enter parameter synthesis is single input parameter;
C, GPC algorithm and single input parameter is utilized to enter to process to positive input and reverse pumping, thus
To single input;
D, enter the time lag that the equivalence relation between single input, the time lag of positive input and reverse pumping enter according to positive input, reverse pumping
The expection positive input or the expection reverse pumping that calculate positive and negative input system enter;
E, enter to align anti-input system be controlled according to expection positive input or expection reverse pumping.
The process of above A-E step is based primarily upon three step process flow process:
The first step, the positive input and the reverse pumping that obtain positive and negative input system enter, and enter positive input with reverse pumping comprehensively to become single input,
Will positive input and counter enter through positive and negative input system produce output be considered as what single input was produced by positive and negative input system
Output (preservation of energy);
Second step, utilizes GPC algorithm to ask for single input variable;
3rd step, determines the expection input value for controlling according to preservation of energy.
Below as a example by temperature control system, the concrete steps flow process of the present invention is described.
The first step, the positive input and the reverse pumping that obtain positive and negative input system enter, and enter positive input with reverse pumping comprehensively to become single input,
Will positive input and counter enter through positive and negative input system produce output be considered as what single input was produced by positive and negative input system
Output (preservation of energy).Temperature controlled process can represent with Fig. 2: GhRepresentative is heated uhAnd the transmission letter between temperature y
Number.Similarly, GcRepresent cooling ucAnd the transmission function between temperature y.
In general, temperature course can add the transmission function representation of time lag with single order the following:
Subscript h represents and heats, and c represents cooling, y (s) and u (s) and represents output and input variable respectively, when θ, K, τ represent
Stagnant, gain and time constant.In described step A, positive input parameter includes positive input Delay Parameters θh, positive input gain KhWith
Positive input timeconstantτh, described reverse pumping enters parameter and includes anti-input delay parameter θc, anti-input gain KcFashionable with reverse pumping
Between constant, τc.Formula (1) can discrete turn to:
In the present invention, positive and negative two inputs are regarded as a single input: cooling power as negative input variable (scope for-
100~0);Power of heating is positive input variable (scope is 0~100), so formula (1) can be following single input with abbreviation
Single output (SISO) model:
Notice positive input parameter { τh,θh,Kh(characteristic i.e. heated) and reverse pumping enter parameter { τc,θc,Kc(i.e. cool down
Characteristic) there is larger difference, during temperature controls this single-input single-output, we are chosen as time constant and gain
Adding the average of gentle cooling, time lag then selects to add the minima in gentle cooling, it may be assumed that
After discretization, pseudoprocess can be expressed as:
Second step, utilizes GPC algorithm to ask for single input variable;
After Clark proposes generalized predictive control (GPC) algorithm, GPC control algolithm is applied to chemical industry, oil, doctor
The fields such as treatment.As a kind of advance control algorithm, its powerful property is to process nonlinear system, time lag system, mixes and be
System and the system of belt restraining, so in this invention, we utilize GPC design controller to ask for pseudo-input, defeated through deriving
Go out can be expressed as following form:
Δ U=(GTG+λI)-1G(w-f)
F represents free response, and λ is control matrix, and N is prediction step, NuBeing to control step-length, w is prediction output, in order to
Output y (t) making current time the most smoothly reaches setting value, generally the following first-order filtering equation of selection:
W (t)=y (t)
W (t+k)=α w (t+k-1)+(1-α) r (t+k), k=1......N2 (7)
Wherein 0≤α < 1
So output can be expressed as:
3rd step, determines the expection input value for controlling according to preservation of energy.
The most described positive input, reverse pumping enter the equivalence relation between single input: positive output corresponding to described positive input with
Described reverse pumping enters total output of the reinfusion of correspondence should be equal to the list output corresponding to single input.I.e. add in temperature control system
The gross energy that the gross energy that gentle cooling consumes should calculate equal to pseudo-model.
2. further for saving energy or material, described expection positive input and expection reverse pumping enter at least value of
Be zero, i.e. the sampling instant of each in temperature control system can only carry out adding the one in temperature control and cooling control.
The concrete calculating process of step D of the present invention is described below in conjunction with example, according to positive input, reverse pumping enter with single input it
Between the time lag that enters of equivalence relation (the most above-mentioned 1. in energy conservation relation), the time lag of positive input and reverse pumping calculate positive and negative
Expection positive input or the expection reverse pumping of input system enter.
According to above-mentioned 1. in energy conservation relation, the output calculated according to formula (5) should calculate equal to by formula (2)
The output obtained, therefore draws the relational expression of preservation of energy:
Time lag d of positive input considered belowhTime lag d entered with reverse pumpingc:
Situation one: dh=dc
Here d=dh=dc, z is multiplied by formula (9) both sidesd(1+a1z-1)(1+ah1z-1)(1+ac1z-1), and can after displacement
Obtain:
bh0uh(t)+bc0uc(t)=b0(1+ah1z-1)(1+ac1z-1)u(t)
-bh0(a1z-1+ac1z-1+a1ac1z-2)uh(t) (10)
-bc0(a1z-1+ah1z-1+a1ah1z-2) uc(t)
The value of the variable on formula (10) the right is all known, can be therefore a constant C by abbreviation on the right of equation.
bh0uh(t)+bc0uc(t)=C (11)
Here bh0> 0, bc0> 0, uh(t)∈[0,100],ucT () ∈ [-100,0], according to rule (b), uh,ucCan count
It is:
As seen from formula (12), as C > 0 time, it is believed that be system add thermogenetic effect, therefore uc(t)=0;Same C
< when 0, uh(t)=0。
Situation two: dh> dc
It is similar to the situation of situation one, rule-based (a), here d=dc, z is all multiplied by formula (9) both sidesj(1+a1z-1)(1
+ah1z-1)(1+ac1z-1), j=dc,dc+1,...,dh, and define following formula:
b0(1+ah1z-1)(1+ac1z-1)=trs_a
bh0(1+a1z-1)(1+ac1z-1)=trs_bh (13)
bc0(1+a1z-1) (1+ah1z-1)=trs_bc
Formula (9) abbreviation is:
Trs_a × u (t)=trs_bh × uh(t-dh+dc)+trs_bc×uc(t)
Trs_a × u (t+1)=trs_bh × uh(t-dh+dc+1)+trs_bc×uc(t+1) (14)
trs_a×u(t+dh-dc)=trs_bh × uh(t)+trs_bc×uc(t+dh-dc)
According to discrete model (2), and model (2) is multiplied by zj, j=dc,dc+1,...,dh
By above-mentioned formula it can be seen that y (t+dc) by up-to-date uh(t-dh+dc) and ucT () determines, according to rule (b), right
In a known temperature, heating or cooling down to have a use.uh(t-dh+dc) it is known that according to formula (14) and
(15), therefore ucT () can be calculated by following formula:
Then according to result of calculation ucT () constrains in the range of [-100,0].Same can obtain uc(t+1),uc
(t+2),...,uc(t+dh-dc-1)。uh(t) can by formula (15) last formula obtain, the result above asked for
And the result (8) that GPC calculates, rearrange formula, it is possible to obtain:
bh0uh(t)+bc0uc(t+dh-dc)=
b0(1+ah1z-1)(1+ac1z-1)×u(t+dh-dc)
-bh0(a1+ac1+a1ac1z-1) × uh(t-1) (17)
-bc0(a1+ah1+a1ah1z-1) × uc(t+dh-dc-1)
Substituting into known quantity, formula (17) the right abbreviation is C1
bh0uh(t)+bc0uc(t+dh-dc)=C1 (18)
Follow the principles (b), it is possible to obtain result below:
Situation three: dh< dc
In this case, computational methods are with situation 2, and its result of calculation is as follows:
C2=b0(1+ac1z-1)(1+ah1z-1)×u(t+dc-dh)-bc0(a1+ah1+a1ah1z-1) × uc(t-1)
Wherein-bh0(a1+ac1+a1ac1z-1) × uh(t+dc-dh-1)
Being further used as preferred embodiment, described positive and negative input system is temperature control system, and described positive input is
Heating power, described reverse pumping enters for cooling power.
In order to check the effectiveness of this method, it is compared with traditional double SISO GPC algorithms:
I, emulation are compared
Energy expenditure compares:
Their parameter selects: prediction step=35, control step-length=8, control weighting=20, and smoothing factor α=
0.95, with reference to Fig. 4 and Fig. 5, can be drawn by controlling result, two control control method can tracking fixed valure and suppressing
Interference.Total energy consumption curve represents in figure 6, and this figure can be clearly seen that AGPC algorithm of the present invention is the most prominent energy-conservation
Go out.By AGPC algorithm, efficiency consumption decreases at least 65%.
Control results contrast:
Point journey pid algorithm most like with the inventive method compares in control result, and the parameter of point journey PID selects logical
Cross trial and error method.Parameter is chosen as, P=3;I=0.01;D=0, a point journey rule is:
With reference to Fig. 7 and Fig. 2, point journey PID controls the control result of result and the present invention and compares, and the overshoot dividing journey PID is big
A lot.This is because, the characteristic adding two processes of gentle cooling is the most different, and the parameter meeting the process of heating not necessarily meets
The parameter of cooling procedure.
II, experimental verification
As a example by extruder temperature control, temperature is one of essential condition of being carried out of extrusion.Material is in extrusion
During the source of heat mainly by two, one is the heat provided by barrel external heat circle;Two is between material and barrel
Shearing, fricative heat;The regulation of temperature can only be entered by the heating and cooling system on extruder barrel and control system
Row.
With reference to Fig. 3, the barrel of this extruder is divided into five sections, including die head 1, flange the 2, first barrel the 3, second barrel 4
With the 3rd barrel 5.First barrel 3 controls result for the temperature of demonstration the inventive method.
Desired temperature is 190 ° of c, when temperature enters stable state when, bears to one and steps to 150 ° of c.The ginseng of controller
Number is chosen as: prediction step=35, controls step-length=8, controls weighting=20, and smoothing factor α=0.95, with reference to Fig. 8, from controlling result
On can draw utilization the inventive method, not only adding gentle cooling will not be carried out simultaneously, and controls dry straight.
Being further used as preferred embodiment, described positive and negative input system is in PH and control system, described positive input
For alkaline reagent amount, described reverse pumping enters for acid reagent amount.
Being further used as preferred embodiment, described positive and negative input system is control pressurer system, and described positive input is
Aeration quantity, described reverse pumping enters for rate of air sucked in required.
It is above the preferably enforcement of the present invention is illustrated, but the invention is not limited to described enforcement
Example, those of ordinary skill in the art can also make all equivalents on the premise of spirit of the present invention or replace
Changing, deformation or the replacement of these equivalents are all contained in the application claim limited range.
Claims (6)
1. distribution type generalized forecast control method based on positive and negative input system, it is characterised in that: include following steps:
A, sensor from positive and negative input system obtain the positive input of this system, reverse pumping enters, positive input parameter and reverse pumping enter parameter;
B, positive input parameter and reverse pumping enter parameter synthesis is single input parameter;
C, utilize GPC algorithm and single input parameter to enter to process to positive input and reverse pumping, thus obtain single the most defeated
Enter;
D, enter the time lag that the equivalence relation between single input, the time lag of positive input and reverse pumping enter according to positive input, reverse pumping and calculate
The expection positive input or the expection reverse pumping that go out positive and negative input system enter;
E, enter to align anti-input system be controlled according to expection positive input or expection reverse pumping;
In described step A, positive input parameter includes positive input Delay Parameters θh, positive input gain KhWith positive input time constant
τh, described reverse pumping enters parameter and includes anti-input delay parameter θc, anti-input gain KcWith reverse pumping angle of incidence constant, τc;
In described step B, single input parameter includes single input Delay Parameters θ, single input gain K and single input timeconstantτ,
The computing formula of described single input parameter is respectively。
Distribution type generalized forecast control method based on positive and negative input system the most according to claim 1, it is characterised in that:
Described positive input, reverse pumping enter the equivalence relation between single input: positive output corresponding to described positive input enters with described reverse pumping
Total output of corresponding reinfusion should be equal to the list output corresponding to single input.
Distribution type generalized forecast control method based on positive and negative input system the most according to claim 1, it is characterised in that:
Described expection positive input and expection reverse pumping enter at least the value of be zero.
Distribution type generalized forecast control method based on positive and negative input system the most according to claim 1, it is characterised in that:
Described positive and negative input system is temperature control system, and described positive input is power of heating, and described reverse pumping enters for cooling power.
Distribution type generalized forecast control method based on positive and negative input system the most according to claim 1, it is characterised in that:
Described positive and negative input system is in PH and control system, and described positive input is alkaline reagent amount, and described reverse pumping enters for acid reagent
Amount.
Distribution type generalized forecast control method based on positive and negative input system the most according to claim 1, it is characterised in that:
Described positive and negative input system is control pressurer system, and described positive input is aeration quantity, and described reverse pumping enters for rate of air sucked in required.
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CN101284801A (en) * | 2008-05-23 | 2008-10-15 | 中国科学技术大学 | Production device for acrylic nitrile and method for controlling temperature of reactor |
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