pid_controler.sm (56 KiB) downloaded 138 time(s).

Based on the numerical laplace inverse from Oscar.

Best regards.
Alvaro.

Wrote

Laplace stuff is purely Edu.

Isn't. With the attached SMath file you can make the performance optimization of ABB, Schneider and others PID controllers according with their described procedures, as is indicated in this few examples from a very big collection of PID tunning procedures from the modern control industry

ABB:
- Tuning loop: control performance and diagnostics :
https://library.e.abb.com/public/2925fa1164ff90a185256f9b005aad3f/LPM_Paper_Final%20EN.pdf

Schneider:
- PID Optimization – Altivar Process : https://www.schneider-electric.com/resources/sites/SCHNEIDER_ELECTRIC/content/live/FAQS/355000/FA355451/en_US/Application%20Note%2051%20-%20PID%20tuning.pdf

Best regards.
Alvaro.

Read first: EXAMPLE_0 ...
suite if you think you have interest in that kind of stuff.

Jean

Inst_PID Discrete Schema EXAMPLE_5.sm (21 KiB) downloaded 109 time(s).
Inst_PID Discrete Schema EXAMPLE_6.sm (30 KiB) downloaded 98 time(s).
Inst_PID Discrete Schema EXAMPLE_4.sm (57 KiB) downloaded 93 time(s).
Inst_PID Discrete Schema EXAMPLE_7.sm (28 KiB) downloaded 89 time(s).
Inst_PID Discrete Schema EXAMPLE_3.sm (22 KiB) downloaded 93 time(s).
Inst_PID Discrete Schema EXAMPLE_1.sm (32 KiB) downloaded 103 time(s).
Inst_PID Discrete Schema EXAMPLE_0.sm (96 KiB) downloaded 119 time(s).
Inst_PID Discrete Schema EXAMPLE_2.sm (28 KiB) downloaded 96 time(s).
Inst_PID Discrete Schema EXAMPLE_8.sm (16 KiB) downloaded 95 time(s).