Ziegler–Nichols method

The Ziegler–Nichols tuning method is a heuristic method of tuning a PID controller. It was developed by John G. Ziegler and Nathaniel B. Nichols. It is performed by setting the "I" and "D" gains to zero. The "P" gain is then increased (from zero) until it reaches the critical gain $K\_c$, at which the output of the control loop begins to oscillate. $K\_c$ and the oscillation period $T\_c$ are used to set the P, I, and D gains depending on the type of controller used:

This type of tuning creates a "quarter wave decay". This is an acceptable result, but not optimal.

References

*cite journal
last =Van, Doren
first =Vance J.
authorlink =
coauthors =
title =Loop Tuning Fundamentals
journal =Control Engineering
volume =
issue =
pages =
publisher =Red Business Information
date =July 1, 2003
url =http://www.controleng.com/article/CA307745.html
doi =
id =
accessdate = 2007-06-24

* cite web
last =Co
first =Tomas
authorlink =
coauthors =Michigan Technological University
title =Ziegler-Nichols Closed Loop Tuning
work =
publisher =
date = February 13, 2004
url =http://www.chem.mtu.edu/~tbco/cm416/zn.html
format =
doi =
accessdate = 2007-06-24

* cite web
last =Shaw
first =John
authorlink =
coauthors =
title =Ziegler-Nichols Closed Loop Tuning
work =
publisher =
date = January 9, 1996
url =http://users.aol.com/JohnShaw/znclosed.html
format =
doi =
accessdate = 2008-09-03

External links

* http://controls.engin.umich.edu/wiki/index.php/PIDTuningClassical#Ziegler-Nichols_Method

* http://users.aol.com/JohnShaw/znclosed.html