CN105759607B - The design method of PAC controllers based on intelligent control algorithm - Google Patents

The design method of PAC controllers based on intelligent control algorithm Download PDF

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CN105759607B
CN105759607B CN201610103921.XA CN201610103921A CN105759607B CN 105759607 B CN105759607 B CN 105759607B CN 201610103921 A CN201610103921 A CN 201610103921A CN 105759607 B CN105759607 B CN 105759607B
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陈双叶
冯超
丁迎来
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Beijing University of Technology
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    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B13/00Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
    • G05B13/02Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
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Abstract

The invention discloses the design methods of the PAC controllers based on intelligent control algorithm, the present invention is on the basis of traditional PAC controllers, use the intelligent control algorithms such as advanced PID control algorithm, variable universe Fuzzy PID, pid control algorithm based on neural network, control accuracy can be improved, control response is improved, higher control requirement is met.In terms of network communication, the communication modes such as Ethernet, CAN bus are increased on the basis of traditional serial ports 232,485, use Modbus RTU, Modbus TCP, CANopen, custom protocol etc., to realize interconnecting for network.Being increased on the basis of Traditional PID prevents integral saturation algorithm, carries out differential, differential forward scheduling algorithm to control variable, can significantly improve the effect of PID, improve the response time, reduce control overshoot.

Description

The design method of PAC controllers based on intelligent control algorithm
Technical field
The invention belongs to field of industrial automatic control, it is related to the design of embedded PAC controllers, high accuracy temperature control, Intelligent control algorithm etc..
Background technology
In industrial manufacturing industry production process, the demand to control is higher and higher.PAC controllers are on control performance, letter Breath processing above and on Internet communication capacity has the advantages that some are more notable.PAC controllers combine intrinsic reliable of PLC Property, robustness and distribution character, while compared with PC is controlled, PAC uses real time operating system, has in process performance real-time The incomparable advantages of PC machine such as property, certainty.However traditional PAC controllers are relatively simple in control algolithm, are being related to When some complicated algorithms, through frequently with method be to be combined control with modes such as PC machine, also expose some defects, example Such as:The effect of control is poor, the retardance of communication, the increase of cost.
Invention content
According to above-mentioned the problem of proposing in the prior art, the purpose of the present invention is:The control performance for improving control system, is adopted With advanced PID control algorithm, variable universe Fuzzy PID, based on the pid control algorithm of neural network, can improve Control accuracy improves control response.In addition the scalability of acquisition signal is improved, analog input signal can be that voltage is believed Number either the signals such as current signal and resistance.In terms of network communication, increase on the basis of traditional serial ports 232,485 The communication modes such as Ethernet, CAN bus, using Modbus-RTU, Modbus-TCP, CANopen, custom protocol etc. comes Realize interconnecting for network.
The present invention is realized based on a kind of intelligent controlling device, and the intelligent controlling device includes mainly following Part:
1, senser sampling circuit, the circuit include the sampled signal modulate circuit of voltage, electric current, resistance signal, to The signal high precision acquisition for realizing sensor, such as pressure transmitter, PT100 temperature sensors, angular transducer, 4~20mA Current sensor etc..
2, control output circuit controls big voltage high-current containing isolated location using solid-state relay.It is defeated using PWM Go out signal, control output accuracy is high.
3, the microcontroller and Ethernet communication circuit for participating in operation, 232,485, CAN bus communicating circuit, Reset circuit, watchdog circuit.
4, ensure the power module circuitry of power good.
Sensor is interacted by input signal conditioning circuit with microcontroller.
The present invention is to propose some intelligent control algorithms and realization, includes mainly following components:
Step 1:PID Self-tuning System algorithms are devised, common Industry Control object is with non-linear, time variation and not The factors such as certainty are caused pid parameter to be compared using the method manually adjusted and expend the time, and the effect adjusted is also poor, The algorithm of PID Self-tuning Systems is increased in the present invention, can be automatically determined the pid parameter of equipment operation, be saved the time, improve Control effect.
Step 2:In addition on the basis of traditional PID control, increase prevent integral saturation algorithm, to control variable into Row differential, differential forward scheduling algorithm, can significantly improve the effect of PID, improve the response time, reduce control overshoot.
Step 3:Due to factors such as the non-linear of control object, time variation and uncertainties, PID control is only used only, Control effect is poor.This method increases FUZZY ALGORITHMS FOR CONTROL on the basis of improving regulatory PID control method, passes through The fuzzy reasoning table for imitating human knowledge language and membership function are established to carry out fuzzy control operation, uses Fuzzy Control The mode being combined with regulatory PID control is made, it is with non-linear, time variation and not true in control object that controller can be improved The control effect of qualitative factor.
Step 4:In fuzzy control, the acquisition of fuzzy rule and membership function is greatly mostly from the experience of people, control effect Selection of the quality of fruit also with fuzzy rule and membership function is closely bound up.However neural network has very strong Nonlinear Quasi Conjunction ability, can learn with the advantages such as adaptive ability, neural network is combined with PID control, neural network can be utilized Self-learning capability calculates the optimized parameter of PID control, is optimal control, significant effect.
The realization for the PID Self-tuning Systems that the step 1 is mentioned is specifically divided into following steps:
1.1, it is realized using Z-N (Ziegler-Nichols rule) relay feedback formula setting methods, compares Z-N methods There is good advantage, i.e., generates oscillation element, the wherein descriptive equation of relay characteristics using relay method:In formula, M is relay characteristics amplitude, and X is to measure output peak difference calculating to acquire.When meeting argG (j ω)=- π,A is acquired by measuring the maximum value exported and minimum value in formula, KuFor threshold oscillation ratio Gain, d are the amplitude of the symmetrical relay characteristics divided.
1.2, by the oscillating curve of generation, obtain the above KuAnd critical period of the oscillation Tu, certainly by Ziegler-Nichols The calculation formula of setting method, as shown in table 1, performance requirement as needed calculate the pid parameter adjusted, and complete relay The PID Self-tuning System processes of feedback.
1 Z-N selftuning PID parameters (quick performance) of table
The realization for the improvement Traditional PID that the step 2 is mentioned is specifically divided into following steps:
2.1, normal PID lgorithm can expose easy overshoot, system time stable period if use without modification Length has the shortcomings that oscillatory occurences when stablizing.
2.2, PID common type is:
Over control is led to limit integral using anti-windup saturation algorithm, and can quickly be improved the rise time.Wherein, Umin≤u (t)≤Umax, whenWhen, enable u1(t)=Umax, wherein enablingLimit integral saturated phenomenon.In addition the variable quantity for improving differential, due toWherein e (t)=r (t)-y (t), wherein r (t) are setting value, and y (t) is sensor sample value, however works as r (t) when adjustment, necessarily lead to the instantaneous variation of differential term, the unstability of system can be increased, therefore enable
The realization for the Varied scope fuzzy control PID that the step 3 is mentioned is specifically divided into following steps:
3.1, theory-region changed adaptive-fuzzy control is using error e and error rate ec as the input of system, in difference Moment is automatically adjusted pid parameter according to the difference of e and ec, and fuzzy rule online carries out Kp, Ki, Kd of pid parameter Modification.Fuzzy selftuning PID is on the basis of pid algorithm, by calculating current system error e and error rate ec, profit Fuzzy reasoning is carried out with fuzzy rule, inquiry fuzzy reasoning table carries out parameter adjustment.
3.2, the foundation of fuzzy control table is not unique, for different control systems difference, but is directed to common system System can meet control using following fuzzy control table and require:
Δ KP fuzzy reasoning tables:
Δ Ki fuzzy reasoning tables:
Δ Kd fuzzy reasoning tables:
The selection of 3.3 domains and the determination of membership function are determined by artificial experience, it is ensured that accurate as possible.In addition lead to The variation for crossing monitoring e and ec, the problem of continuing to optimize and reduce the range of domain, reach variable universe Self-tuning System.The step 4 The realization for the Neural network PID mentioned is specifically divided into following steps:
4.1 this method use single neuron Neural Network PID, can avoid as using BP neural network, losing The computationally intensive problem of propagation algorithm, particle cluster algorithm, can also ensure real-time control, online constantly to correct.
4.2 input the structure singly exported as shown in figure 4, Neuron PID structural model is 3, wherein 3 inputs are e (k),The output of neuron is u (k), wherein the weights of neuron be the ratio of PID, it is integral, micro- Divide three coefficient, that is, Kp, Ki, Kd.
It can similarly obtain,
Wherein μ be learning rate, 0<μ<1;
Kp (k+1)=Kp (k)+Δ Kp (k+1),
Ki (k+1)=Ki (k)+Δ Ki (k+1),
Kd (k+1)=Kd (k)+Δ Kd (k+1).
The initial value of 4.5 neural network weights is using the calculated value of PID automatic setting methods that step 1 is related to as just Initial value can accelerate the speed of Neural network PID Self-tuning System.
The present invention improves acquisition precision in conventional PAC controller designs on hardware, improve network interconnection intercommunication, Using CANopen and Modbus-TCP, Modbus-RTU as common communications protocol, it is conventional that improvement is used on software PID control method, variable universe fuzzy self-adaption method, Neural network PID algorithm, more accurate good realization industry control scene The control of equipment can be preferably useful in such as petroleum pipeline electric tracer heating system, cotton textile industry Temperature and Humidity Control, boiler temperature The occasions such as control.
Description of the drawings
Fig. 1 system hardware structure block diagrams;
Fig. 2 PID relay autotuner block diagrams;
Fig. 3 Varied scope fuzzy control PID structure diagrams;
Fig. 4 Neural network PID structure diagrams;
Specific implementation mode
The detailed description that the present invention is embodied according to the accompanying drawings, will become more apparent to one of ordinary skill in the art The above-mentioned advantages and features of the present invention.
It is hardware configuration first, as shown in Figure 1.
Microcontroller selects the STM32F207VET6 of ST Microelectronics, the memory space with large capacity and high property The arithmetic speed of energy, it is ensured that run some control algolithms.
House dog and reset circuit select SP706, are special watchdog reset chip, can improve the stabilization of system Property and anti-interference.
Power module, equipment turn 24v using Switching Power Supply 220v outside, LM2576 and SPX1117- are used in system equipment 3.3 carry out voltage conversion, and to meet system module voltage requirements, in addition ADC sampling modules need accurately reference voltage, select The sources as the reference voltage TL431.
Sensor and input signal conditioning circuit, to ensure 4~20mA current modes, voltage-type, resistance change type sensing In the access systems such as device, selecting switch can be emitted in same port according to corresponding jump of selection sensor difference setting by devising. Such as temperature sensor uses PT100, signal conditioning circuit to select electric bridge mode, and the PT100 resistance values changed are converted into pair The voltage form answered send the ADC of controller to be sampled.Actual temperature value is obtained by conversion, the temperature of acquisition is sent to micro- place Reason device is handled.Other sensor circuits also similar process.
Output signal conditioning circuit and actuator, the digital control amount that controller operation obtains can be by way of output root It is converted into switching value, PWM outputs etc. according to demand.Electrical isolation module is contained in inside, prevents from being interfered by the external world, in addition to Powerful output control, in-built solid state relay.
Data memory module selects FM24CL04, can store a small amount of data and power down preserves the function of not losing. Some critical parameter informations can be used to store.
Communication module, using MAX3485, MAX3232, PCA82C250, DP83848 etc. respectively as RS485, RS232, CAN communication, the data processing chip of ethernet communication and physical layer transceiver circuit.The selection of multiple communication modes can be with difference Equipment between carry out with more compatibility information exchange.
PID relay autotuner methods are as shown in Figure 2.
The oscillating curve generated by relay link obtains KuAnd critical period of the oscillation Tu(seeing above described), by The calculation formula of Ziegler-Nichols automatic setting methods, as shown in table 2, performance requirement that can be as needed calculate whole Fixed pid parameter completes the PID Self-tuning System processes of relay feedback.
2 relay feedback formula Z-N selftuning PID parameters (quick performance) of table
Pid parameter can be obtained by calculating, it can be as fuzzy control and the initial value of ANN Control.
Varied scope fuzzy control method is as shown in Figure 3.Mainly it is made of fuzzy control and PID controller two parts.
The input of Digital PID Controller is the collection value r (t) obtained by sensor sample and the desired value manually set Y (t) obtains numeral output controlled quentity controlled variable u (t) controlled quentity controlled variable u (t) by advanced PID control algorithm and changes or lead to by D/A It crosses numeral output PWM wave and carries out output control.And then the operation of control device.Reach the function of making output control in desired value.
Varied scope fuzzy control pid algorithm is as shown in Figure 3.
1. determining domain and membership function.It is determined according to the deviation e of input signal and deviation variation rate ec input ranges Domain, the determination of domain generally according to artificial experience, the fuzzy set of domain be divided into it is negative big, in bearing, bear it is small, zero, it is just small, just In, it is honest }.Specific domain range needs that scene is used in combination to determine.Membership function is the signal value institute for determining input In the proportion of interval range, generally select the curve of rectilinear(-al) as membership function model in embedded device, in order to Facilitate embeded processor to calculate, prepares for following fuzzy rule and ambiguity solution.
2. determining fuzzy reasoning table.The establishment of fuzzy reasoning table should ensure accurately as possible because the quality of control algolithm with The accuracy of fuzzy rule is closely bound up.The range of e and ec is generally divided into seven sections, i.e.,:It is negative big, and it is negative small in bearing, zero, just Small, center is honest }.Therefore 49 complete fuzzy rule set can be established.By taking temperature rise curve as an example, when the temperature rise phase Between when, it should allow Kp to take bigger value as possible to guarantee quick response, reduce the rise time, Ki takes relatively small Value prevents integral to be saturated, integrates the generation of over control, Kd takes relatively large value, and overshoot in order to prevent reduces the defeated of system Go out, controls climbing speed.
Therefore rule 1:When e is " PB " and ec is " Z0 ", Δ Kp is " PM ", and Δ Ki is " PS ", and Δ Kd is " PM ".
Rule 2:When e is " PB " and ec is " NS ", Δ Kp is " PM ", and Δ Ki is " PS ", and Δ Kd is " PM ".
Rule 3:When e is " PB " and ec is " NM ", Δ Kp is " PS ", and Δ Ki is " Z0 ", and Δ Kd is " PM ".
It is pushed away with this, specific rules list is:
Δ KP fuzzy reasoning tables:
Δ Ki fuzzy reasoning tables:
Δ Kd fuzzy reasoning tables:
3. true PID controller parameter Kp and Ki and Kd in order to obtain, is changed as follows:
Kp=Kp0+ Δs Kp;Ki=Ki0+ Δs Ki;(wherein Kp0, Ki0, Kd0 indicate PID coefficient to Kd=Kd0+ Δs Kd respectively Initial value);
Neuron PID structural model as shown in figure 4,
1. structure is the structure of triple input single output, wherein three inputs are e (k),Neuron Output be u (k), wherein the weights of neuron are three ratio of PID, integral, differential coefficients (Kp, Ki, Kd).
(wherein μ be learning rate, 0<μ<1)
It can similarly obtain,
4, the PID automatic setting methods that the initial value of neural network weight can use this method step 1 to mention are calculated Value is used as initial value, can accelerate the speed of Neural network PID Self-tuning System.

Claims (1)

1. the design method of the PAC controllers based on intelligent control algorithm, this method are realized based on a kind of intelligent controlling device, The intelligent controlling device includes mainly following components:
1) senser sampling circuit, which includes the sampled signal modulate circuit of voltage, electric current, resistance signal, to realize The signal high precision of sensor acquires;
2) control output circuit controls big voltage high-current containing isolated location using solid-state relay;It is exported and is believed using PWM Number, control output accuracy is high;
3) be used to participate in the microcontroller and Ethernet communication circuit of operation, 232,485, CAN bus communicating circuit, reset Circuit, watchdog circuit;
4) ensure the power module circuitry of power good;
Sensor is interacted by input signal conditioning circuit with microcontroller;
It is characterized in that:This approach includes the following steps:
Step 1:PID Self-tuning System algorithms are designed, common Industry Control object has non-linear, time variation and uncertainty Factor is caused pid parameter to be compared using the method manually adjusted and expends the time, and the effect adjusted is also poor, in the method The algorithm of PID Self-tuning Systems is increased, the pid parameter of equipment operation can be automatically determined, save the time, improves control effect Fruit;
Step 2:In addition on the basis of traditional PID control, increase prevent integral saturation algorithm, to control variable carry out it is micro- Divide, differential forward algorithm, the effect of PID can be significantly improved, improve the response time, reduces control overshoot;
Step 3:Due to the non-linear of control object, time variation and uncertain factor, PID control, control effect is only used only Fruit is poor;This method increases FUZZY ALGORITHMS FOR CONTROL on the basis of improving regulatory PID control method, by establishing mould Fuzzy reasoning table and the membership function of human knowledge language are imitated to carry out fuzzy control operation, using fuzzy control and often The mode that is combined of rule PID control, can improve controller control object have non-linear, time variation and it is uncertain because The control effect of element;
Step 4:In fuzzy control, the acquisition of fuzzy rule and membership function greatly mostly from the experience of people, control effect Selection of the quality also with fuzzy rule and membership function is closely bound up;However neural network has very strong nonlinear fitting energy Power, can learn with adaptive ability advantage, neural network is combined with PID control, can utilize neural network self study Ability calculates the optimized parameter of PID control, is optimal control, significant effect;
The realization for the PID Self-tuning Systems that the step 1 is mentioned is specifically divided into following steps:
1.1, realize have very compared to Z-N methods using Z-N, that is, Ziegler-Nichols rule relay feedback formula setting method Good advantage, i.e., generate oscillation element, the wherein descriptive equation of relay characteristics using relay method: In formula, M is relay characteristics amplitude, and X is to measure output peak difference calculating to acquire;When meeting argG (j ω)=- π,A is acquired by measuring the maximum value exported and minimum value in formula, KuFor threshold oscillation proportional gain, d is The amplitude of the symmetrical relay characteristics divided;
1.2, by the oscillating curve of generation, obtain the above KuAnd critical period of the oscillation Tu, by Ziegler-Nichols Self-tuning Systems The calculation formula of method, as shown in table 1, performance requirement as needed calculate the pid parameter adjusted, and complete relay feedback PID Self-tuning System processes;
1 Z-N selftuning PID parameters of table
The realization for the improvement Traditional PID that the step 2 is mentioned is specifically divided into following steps:
2.1, normal PID lgorithm if use without modification, can expose easy overshoot, system time stable period it is long, The shortcomings that oscillatory occurences is had when stablizing;
2.2, PID common type is:
Over control is led to limit integral using anti-windup saturation algorithm, and can quickly be improved the rise time;Wherein, Umin≤ U (t)≤Umax, whenWhen, enable u1(t)=Umax, wherein enablingLimit integral saturated phenomenon;In addition the variable quantity for improving differential, due toWherein e (t)=r (t)-y (t), wherein r (t) are setting value, and y (t) is sensor sample value, however works as r (t) when adjustment, necessarily lead to the instantaneous variation of differential term, the unstability of system can be increased, therefore enable
The realization for the Varied scope fuzzy control PID that the step 3 is mentioned is specifically divided into following steps:
3.1, theory-region changed adaptive-fuzzy control is using error e and error rate ec as the input of system, in different moments Pid parameter is automatically adjusted according to the difference of e and ec, fuzzy rule online modifies to Kp, Ki, Kd of pid parameter; Fuzzy selftuning PID is on the basis of pid algorithm, by calculating current system error e and error rate ec, using fuzzy Rule carries out fuzzy reasoning, and inquiry fuzzy reasoning table carries out parameter adjustment;
3.2, the foundation of fuzzy control table is not unique, for different control systems difference, but is directed to system, use with Lower fuzzy control table can meet control and require:
Δ KP fuzzy reasoning tables:
Δ Ki fuzzy reasoning tables:
Δ Kd fuzzy reasoning tables:
The selection of 3.3 domains and the determination of membership function are determined by artificial experience, it is ensured that accurate as possible;Additionally by prison The variation for surveying e and ec, the problem of continuing to optimize and reduce the range of domain, reach variable universe Self-tuning System;
The realization for the Neural network PID that the step 4 is mentioned is specifically divided into following steps:
4.1 this method use single neuron Neural Network PID, can avoid as being calculated using BP neural network, heredity The computationally intensive problem of method, particle cluster algorithm, can also ensure real-time control, online constantly to correct;
4.2 Neuron PID structural models are 3 and input the structure singly exported, wherein 3 inputs are e (k),e(k)-e (k-1), the output of neuron is u (k), wherein the weights of neuron be the ratio of PID, integral, three coefficient, that is, Kp of differential, Ki、Kd;
The output of 4.3 neurons isWherein Ts is sampling time, error Function is e (k)=rin(k)-yout(k), performance indicator is takenUsing steepest descent method, the weights tune of neuron It is whole as follows:
It can similarly obtain,
Wherein μ be learning rate, 0<μ<1;
4.4 enablingIt can then be acquired successively by step 3:
Kp (k+1)=Kp (k)+Δ Kp (k+1),
Ki (k+1)=Ki (k)+Δ Ki (k+1),
Kd (k+1)=Kd (k)+Δ Kd (k+1);
The initial value of 4.5 neural network weights using the calculated value of PID automatic setting methods that step 1 is related to as initial value, It can accelerate the speed of Neural network PID Self-tuning System.
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