# PID Controller Automation

This automation implements a PID (opens new window)-T1 controller for openHAB.

A PID controller can be used for closed-loop controls. For example:

  • Heating: A sensor measures the room temperature. The PID controller calculates the heater's valve opening, so that the room temperature is kept at the setpoint.
  • Lighting: A light sensor measures the room's illuminance. The PID controller controls the dimmer of the room's lighting, so that the illuminance in the room is kept at a constant level.
  • PV zero export: A meter measures the power at the grid point of the building. The PID controller calculates the amount of power the battery storage system needs to feed-in or charge the battery, so that the building's grid power consumption is around zero, i.e. PV generation, battery storage output power and the building's power consumption are at balance.

# Modules

The PID controller can be used in openHAB's rule engine (opens new window). This automation provides a trigger and an action module.

# Trigger

This module triggers whenever the input or the setpoint changes or the loopTime expires. Every trigger calculates the P, the I and the D part and sums them up to form the output value. This is then transferred to the action module.

Name Type Description Required
input Item Name of the input Item (opens new window) (e.g. temperature sensor value) Y
setpoint Item Name of the setpoint Item (e.g. desired room temperature) Y
kp Decimal P: Proportional Gain Parameter Y
ki Decimal I: Integral Gain Parameter Y
kd Decimal D: Derivative Gain Parameter Y
kdTimeConstant Decimal D-T1: Derivative Gain Time Constant in sec. Y
commandItem String Send a String "RESET" to this item to reset the I and the D part to 0. N
loopTime Decimal The interval the output value will be updated in milliseconds. Note: the output will also be updated when the input value or the setpoint changes. Y

The loopTime should be max a tenth of the system response. E.g. the heating needs 10 min to heat up the room, the loop time should be max 1 min. Lower values won't harm, but need more calculation resources.

# Action

This module writes the PID controller's output value into the output Item and provides debugging abilities.

Name Type Description Required
output Item Name of the output Item (e.g. the valve actuator 0-100%) Y
pInspector Item Name of the debug Item for the current P part N
iInspector Item Name of the debug Item for the current I part N
dInspector Item Name of the debug Item for the current D part N
eInspector Item Name of the debug Item for the current regulation difference (error) N

You can view the internal P, I and D parts of the controller with the inspector Items. These values are useful when tuning the controller. They are updated everytime the output is updated.

# Proportional (P) Gain Parameter

Parameter: kp

A value of 0 disables the P part.

A value of 1 sets the output to the current setpoint deviation (error). E.g. the setpoint is 25°C and the measured value is 20°C, the output will be set to 5. If the output is the opening of a valve in %, you might want to set this parameter to higher values (kp=10 would result in 50%).

# Integral (I) Gain Parameter

Parameter: ki

The purpose of this parameter is to let the output drift towards the setpoint. The bigger this parameter, the faster the drifting.

A value of 0 disables the I part.

A value of 1 adds the current setpoint deviation (error) to the output each loopTime (in milliseconds). E.g. (loopTimeMs=1000) the setpoint is 25°C and the measured value is 20°C, the output will be set to 5 after 1 sec. After 2 sec the output will be 10. If the output is the opening of a valve in %, you might want to set this parameter to a lower value (ki=0.1 would result in 30% after 60 sec: 5*0.1*60=30).

# Derivative (D) Gain Parameter

Parameter: kd

The purpose of this parameter is to react to sudden changes (e.g. an opened window) and also to damp the regulation. This makes the regulation more resilient against oscillations, i.e. bigger kp and ki values can be set.

A value of 0 disables the D part.

A value of 1 sets the output to the difference between the last setpoint deviation (error) and the current. E.g. the setpoint is 25°C and the measured value is 20°C (error=5°C). When the temperature drops to 10°C due to an opened window (error=15°C), the output is set to 15°C - 5°C = 10.

# Derivative Time Constant (D-T1) Parameter

Parameter: kdTimeConstant

The purpose of this parameter is to slow down the impact of the D part.

This parameter behaves like a low-pass (opens new window) filter. The D part will become 63% of its actual value after kdTimeConstant seconds and 99% after 5 times kdTimeConstant. E.g. kdTimeConstant is set to 10s, the D part will become 99% after 50s.

Higher values lead to a longer lasting impact of the D part (stretching) after a change in the setpoint deviation (error). The "stretching" also results in a lower amplitude, i.e. if you increase this value, you might want to also increase kd to keep the height of the D part at the same level.

# Tuning

Tuning the Kp, Ki and Kd parameters can be done by applying science. It can also be done by heuristic methods like the Ziegler–Nichols method (opens new window). But it can also be done by trial and error. This results in quite reasonable working systems in most cases. So, this will be described in the following.

To be able to proceed with this method, you need to visualize the input and the output value of the PID controller over time. It's also good to visualize the individual P, I and D parts (these are forming the output value) via the inspector Items. The visualization can be done by the analyze function in Main UI or by adding a persistence and use Grafana for example.

After you added a Rule (opens new window) with above trigger and action module and configured those, proceed with the following steps:

Notice: A good starting point for the derivative time constant kdTimeConstant is the response time of the control loop. E.g. the time it takes from opening the heater valve and seeing an effect of the measured temperature.

  1. Set kp, ki and kd to 0
  2. Increase kp until the system starts to oscillate (continuous over- and undershoot)
  3. Decrease kp a bit, that the system doesn't oscillate anymore
  4. Repeat the two steps for the ki parameter (keep kp set)
  5. Repeat the two steps for the kd parameter (keep kp and ki set)
  6. As the D part acts as a damper, you should now be able to increase kp and ki further without resulting in oscillations

After each modification of above parameters, test the system response by introducing a setpoint deviation (error). This can be done either by changing the setpoint (e.g. 20°C -> 25°C) or by forcing the measured value to change (e.g. by opening a window).

This process can take some time with slow responding control loops like heating systems. You will get faster results with constant lighting or PV zero export applications.