PID_Py
provide a PID controller written in Python. This PID controller is simple to use, but it's complete.
I am not responsible for any material or personal damages in case of failure. Use at your own risk.
- Installation
- Usage
- Minimum usage
- Indirect action PID
- Integral limitation
- Limiting output
- Proportionnal on measurement
- Derivative on measurement
- Integral freezing
- Deadband
- Setpoint ramp
- Setpoint reached by the process value
- Process value stabilized indicator
- Historian
- Manual mode
- Logging
- Time simulation
- Threaded PID
- Simulation
- SetupTool
python3 -m pip install PID_Py
from PID_Py.PID import PID
# Initialization
pid = PID(kp = 10.0, ki = 5.0, kd = 0.0)
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
In this usage the PID as no limitation, no history and the PID is in direct action (Error increasing -> Increase output).
If you have a system that required to decrease command to increase feedback, you can use indirectAction
parameters.
from PID_Py.PID import PID
# Initialization
pid = PID(kp = 10.0, ki = 5.0, kd = 0.0, indirectAction = True)
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
The integral part of the PID can be limit to avoid overshoot of the output when the error is too high (When the setpoint variation is too high, or when the system have trouble to reach setpoint).
from PID_Py.PID import PID
# Initialization
pid = PID(kp = 10.0, ki = 5.0, kd = 0.0, integralLimit = 20.0)
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
In the example above, the integral part of the PID is clamped between -20 and 20.
If your command must be limit you can use outputLimits
parameters.
from PID_Py.PID import PID
# Initialization
pid = PID(kp = 10.0, ki = 5.0, kd = 0.0, outputLimits = (-20, 20))
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
By default the value is (None, None)
, which implies that there is no limits. You can activate just the maximum limit with (None, 100)
. The same for the minimum limit (-100, None)
.
This avoid a strong response of proportionnal part when the setpoint is suddenly changed.
This change the P equation as follow :
- False : P = error * kp
- True : P = -(processValue * kp)
This result in an augmentation of the stabilization time of the system, but there is no bump on the output when the setpoint change suddenly. There is no difference on the reponds to process disturbance.
from PID_Py.PID import PID
# Initialization
pid = PID(kp = 3.0, ki = 5.0, kd = 0.0, proportionnalOnMeasurement=True)
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
This avoid a strong response of derivate part when the setpoint is suddenly changed.
This change the D equation as follow :
- False : D = ((error - lastError) / dt) * kd
- True : D = -(((processValue - lastProcessValue) / dt) * kd)
The effect is there is no bump when the setpoint change suddenly, and there is no difference on the responds to process disturbance.
from PID_Py.PID import PID
# Initialization
pid = PID(kp = 10.0, ki = 5.0, kd = 0.2, derivativeOnMeasurement=True)
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
When a known disturbance occur, the integral part can be freezed to avoid increasing of its value during the perturbance. For example, in a oven. When temperature is stable, and the door is opened the temperature drops quickly. And when the door is closed again, the temperature will rise to the previous temperature. So integral part value don't need to be increased to reach temperature setpoint.
from PID_Py.PID import PID
# Initialization
pid = PID(kp = 2.0, ki = 5.0, kd = 0.0)
...
pid.integralFreezing = doorIsOpened
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
In the example above, the integral part value is freezed when the door is open. When the door is closed the integral part value resumes its calculation. The door is opened between 5 and 7 second. For the example, the setpoint is increase during the freezing.
A deadband can be set, by default its deactivated. It can be activated by entering a value to deadband
. When the error is between [-deadband
, deadband
] for deadbandActivationTime
(in second) the integral is no longer calculated. If the error exceed deadband
the integral part is recalculated.
from PID_Py.PID import PID
# Initialization
pid = PID(kp = 2.0, ki = 5.0, kd = 0.0, deadband=1.0, deadbandActivationTime = 10.0)
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
In the example above, the PID behaves normally until the error is lower than 1 for 10 seconds. The integral part stops. Then when the error is higher than 1.0 the integral is recalculated.
The setpoint variation can be limited with setpointRamp
option.
This option allow to make a ramp with the setpoint when this one change.
from PID_Py.PID import PID
# Initialization
pid = PID(kp = 2.0, ki = 5.0, kd = 0.0, setpointRamp=10.0)
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
In the example above, the setpoint has a maximal ramp of 10 units per second.
If the setpoint is change to 10 from 0, the real setpoint used will change for 1 second to 10.0.
The same behavior in negative, but with -setpointRamp
.
The PID can return that the process value is stable on the setpoint. To configure it use setpointStableLimit
to define the maximum difference between the process value and the setpoint (error) to considered the setpoint reached. And use setpointStableTime
to define an amount of time to considered the setpoint reached
from PID_Py.PID import PID
# Initialization
pid = PID(kp = 2.0, ki = 5.0, kd = 0.0, setpointStableLimit=0.1, setpointStableTime=1.0)
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
In the example abose, the output setpointReached
is set to True
when the error is between -0.1 and +0.1 for 1.0 second. If the error exceed +/- 0.1, the output is reset.
The PID can return that the process value is stabilized, to configure it use processValueStableLimit
to define the maximum variation when the process value is stable, and processValueStableTime
to define the amount of time when the variation is below the limit.
from PID_Py.PID import PID
# Initialization
pid = PID(kp = 2.0, ki = 5.0, kd = 0.0, processValueStableLimit=0.1, processValueStableTime=1.0)
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
In the example above, the output processValueStabilized
is set to True
when the process value variation do not exceed +/- 0.1 unit/s for 1.0 second. If the process value variation exceed +/- 0.1 unit/s the output processValueStabilized
is set to False
.
If you want to historize PID values, you can configure the historian to record values.
from PID_Py.PID import PID
from PID_Py.PID import HistorianParams
# Initialization
HistorianParams = HistorianParams.SETPOINT | HistorianParams.PROCESS_VALUE
pid = PID(kp = 10.0, ki = 5.0, kd = 0.0, HistorianParams = HistorianParams)
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
...
# PID Historian
import matplotlib.pyplot as plt
plt.plot(pid.historian["TIME"], pid.historian["SETPOINT"], label="Setpoint")
plt.plot(pid.historian["TIME"], pid.historian["PROCESS_VALUE"], label="Process value")
plt.legend()
plt.show()
In the example above, the PID historian records setpoint
, processValue
. time
is also recorded when at least one parameter is recorded. Time is the elapsed time from the start. After that a graphic is draw with matplotlib
.
P
: proportionnal partI
: integral partD
: derivative partERROR
: PID errorSETPOINT
: PID setpointPROCESS_VALUE
: PID process valueOUTPUT
: PID output
The maximum lenght of the historian can be choose. By default it is set to 100 000 record per parameter. Take care about your memory.
In example for one parameters. A float
value take 24 bytes in memory. So 100 000
floats take 2 400 000
bytes (~2.3MB).
For all parameters it takes 16 800 000
bytes (~16MB).
It's not big for a computer, but if PID is executed each millisecond (0.001s), 100 000 record represent only 100 seconds of recording.
If you want to save 1 hour at 1 millisecond you will need 3 600 000 records (~82.4MB) for one parameter, and for all parameters it will takes ~576.8MB.
For a raspberry pi 3 B+ it's the half of the RAM capacity (1GB)
The PID can be switch in manual mode, this allow to operate output directly through manualValue
.
from PID_Py.PID import PID
# Initialization
pid = PID(kp = 2.0, ki = 5.0, kd = 0.0)
...
# Manual mode
pid.manualMode = True
pid.manualValue = 12.7
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
In the example above, command will be always equal to 12.7. The PID calculation is no longer executed. The integral part is keep equal to output minus proportionnal part, this allow a smooth switching to automatic.
To avoid bump when switching in manual there is bumplessSwitching
attribute. This attributes keep manualValue
equal to output
.
If you disable this function you will have bump when you switch in manual mode with manualValue
different of output
. If this case you can destabilise (:heavy_exclamation_mark:) your system. Be careful
The PID can use a logger (logging.Logger built-in class) to log event. Logging configuration can be set outside of the PID. See logging.Logger documentation.
from PID_Py.PID import PID
import logging
# Initialization
pid = PID(kp = 2.0, ki = 5.0, kd = 0.0, logger = logging.getLogger("PID"))
...
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback)
In the example above, the PID will send event on the logger. The logger can also get with the name.
pid = PID(kp = 2.0, ki = 5.0, kd = 0.0, logger = "PID")
The time can be simulated by passing current time to the PID. This feature must not be used with a real application. It's only for simulation purpose. This allows to view the PID reaction quickly.
from PID_Py.PID import PID
import numpy as np
# Initialization
pid = PID(kp = 2.0, ki = 5.0, kd = 0.0)
timeValues = np.arange(0, 20.0, 0.001)
...
for t in timeValues:
# PID execution (call it as fast as you can)
command = pid(setpoint = targetValue, processValue = feedback, t = t)
In the example above timeValues
is a numpy array that contain [0.0, 0.001, 0.002, 0.003, ..., 19.999]. And with the for loop, we can calculate 20 seconds very quickly.
And then use the historian to view the PID reaction.
With the threaded PID you don't have to call pid(processValue, setpoint)
. It's call as fast as possible or with a constant cycle time. When you want to stop the PID use quit
attribute to finish the current execution and exit.
from PID_Py.PID import ThreadedPID
# Initialization
pid = ThreadedPID(kp = 2.0, ki = 5.0, kd = 0.0, cycleTime = 0.01)
pid.start()
...
# PID inputs
pid.setpoint = targetValue
pid.processValue = feedback
# PID output
command = pid.output
...
# Stop PID
pid.quit = True
pid.join()
In the example above the threaded PID is created with 10ms (0.01s) of cyclic time. It means that the calculation is executed each 10ms.
A simulation can be activate to simulate a real application.
from PID_Py.PID import PID
from PID_Py.Simulation import Simulation
# Initialization
simulation = Simulation(K = 1.0, tau = 0.1)
pid = PID(kp = 2.0, ki = 5.0, kd = 0.0, simulation=simulation)
...
command = pid(setpoint = targetValue)
SetupTool is a tool to help you to configure the PID's parameters. A trend with the historian values is displayed to show the PID behaviour.
To use SetupTool you need to import QApplication from PySide6.QtWidgets, then create an application and instantiate SetupTool.
After the SetupTool is open, you can see real-time chart updated every second, and on the right all PID's parameters you can adjust in read-write mode.
After having taken control on the setpoint, you can also send a new setpoint to the PID.
# PID imports
from PID_Py.PID import PID, ThreadedPID, HistorianParams
from PID_Py.SetupTool import SetupToolApp
from PID_Py.Simulation import Simulation
# PySide6 (PyQt) imports
from PySide6.QtWidgets import QApplication
import sys
# Threaded PID creation
pid = ThreadedPID(kp=1, ki=0, kd=0.0,
cycleTime=0.01,
historianParams=HistorianParams.SETPOINT | HistorianParams.PROCESS_VALUE,
simulation=Simulation(1, 1))
pid.start()
# PyQt application creation
app = QApplication(sys.argv)
# SetupTool instantiation
setupToolApp = SetupToolApp(pid)
setupToolApp.show()
# Application execution
app.exec()
# Application ended, stop the PID
pid.quit = True
pid.join()
In the example above, a threaded PId is created and gave to SetupTool constructor.
If have a not threaded PID, you can execute PyQt application in a parallel thread.
When SetupTool is instantiate the read-only mode is activated. This mode prevent any modification on the PID's parameters.
If you want to modify PID's parameters you need to switch on read-write mode. Then all parameters are unlocked.
When SetulTool is instantiate, you don't have the control on the setpoint.
If you want to override setpoint, you need to take the control. Then the setpoint is unlocked. Write the new setpoint and then click on "apply".