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It's the 21st century, anything is possible. Except for PID autotuning for a simple problem, heating/cooling system - make robust and ready to use solution. I've found only one library for PID autotune: https://github.com/br3ttb/Arduino-PID-AutoTune-Library, but even its author says that it is not a robust approach. My question is:

  1. What types of algorithms for PID autotune for a simple heater/cooler application exists? What are their pros and cons?
  2. Is there some open-source libraries for PID autotune?
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First of all, I'm not an expert, but I'll try to give you basic answers listing all that I know as state-of-art. Also, I'm going to update the data with the feedback that people can give or adding new technologies developed.

[2020-10-27]

Popular methods for tuning:

  1. Manual tuning: Stability
  2. Ziegler–Nichols
  3. Tyreus Luyben
  4. Automatic tuning: software tools
  5. Cohen–Coon
  6. Automatic tuning: Åström-Hägglund
  7. Harris Hawks Optimization Algorithm

Automatic tuning:

  1. (Newest) Neural networks: read-paper-1 read-paper-2
  2. Deterministic Q-SLP Algorithm: read paper
  3. Particle swarm optimization algorithm: read paper
  4. Genetic algorithm in C++: review library
  5. Bio-Inspired Multiojective Tuning: read paper
  6. Loop optimization software: open loop, closed loop control and references.
  7. Calculates initial values via the Ziegler–Nichols method automatically.
  8. Patented methods embedded on PID tuning softwares like Matlab. Check all until 2006
  9. Loop optimization software for Non-steady stable models.

Open-source softwares to autotune:

  1. Arduino library that you mentioned.
  2. Python: GEKKO view demostration
  3. Python: based on arduino-library view library
  4. Web based on arduino-library: open online tool

Other softwares:

So, You need to choose the simplest based on your requirements. You may try with Ziegler–Nichols. Also you can check this paper: (2017)"Designing a neuro-fuzzy PID controller based on smith predictor for heating system".

References: (2006) Autotuning of PID Controllers: A Relay Feedback Approach.

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