Ziegler–Nichols method

<h2 id="evaluation">Evaluation</h2>
<p>The Ziegler–Nichols tuning (represented by the 'Classic PID' equations in the table above) creates a "quarter wave decay".  This is an acceptable result for some purposes, but not optimal for all applications.
</p><p>This tuning rule is meant to give PID loops best disturbance rejection.<a class="footnote-ref" id="fnref:6" href="#fn:6"><sup>6</sup></a>
</p><p>It yields an aggressive gain and <a href="/facts/Overshoot_(signal)/l450BHuI">overshoot</a><a class="footnote-ref" id="fnref:7" href="#fn:7"><sup>7</sup></a> – some applications wish to instead minimize or eliminate overshoot, and for these this method is inappropriate.  In this case, the equations from the row labelled 'no overshoot' can be used to compute appropriate controller gains.
</p>

<ul><li>Bequette, B. Wayne. Process Control: Modeling, Design, and Simulation. Prentice Hall PTR, 2010. <a href="http://homepages.rpi.edu/~bequeb/edu.html">[1]</a></li>
<li>Co, Tomas; Michigan Technological University (February 13, 2004). <a href="http://www.chem.mtu.edu/~tbco/cm416/zn.html">"Ziegler–Nichols Closed Loop Tuning"</a>. Retrieved 2007-06-24.</li></ul>

<h2 id="external-links">External links</h2>
<ul><li><a href="https://web.archive.org/web/20080616062648/http://controls.engin.umich.edu:80/wiki/index.php/PIDTuningClassical#Ziegler-Nichols_Method">https://web.archive.org/web/20080616062648/http://controls.engin.umich.edu:80/wiki/index.php/PIDTuningClassical#Ziegler-Nichols_Method</a></li></ul>

<h2 id="references">References</h2>

<ol>
<li id="fn:1"><p>Ziegler, J.G & Nichols, N. B. (1942). "Optimum settings for automatic controllers" (PDF). Transactions of the ASME. 64: 759–768. Archived from the original (PDF) on 2017-09-18. <a href="https://web.archive.org/web/20170918055307/http://staff.guilan.ac.ir/staff/users/chaibakhsh/fckeditor_repo/file/documents/Optimum%20Settings%20for%20Automatic%20Controllers%20(Ziegler%20and%20Nichols,%201942).pdf" target="_blank">https://web.archive.org/web/20170918055307/http://staff.guilan.ac.ir/staff/users/chaibakhsh/fckeditor_repo/file/documents/Optimum%20Settings%20for%20Automatic%20Controllers%20(Ziegler%20and%20Nichols,%201942).pdf</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li>
<li id="fn:2"><p>Ziegler–Nichols Tuning Rules for PID, Microstar Laboratories <a href="http://www.mstarlabs.com/control/znrule.html" target="_blank">http://www.mstarlabs.com/control/znrule.html</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li>
<li id="fn:3"><p>Ziegler–Nichols Tuning Rules for PID, Microstar Laboratories <a href="http://www.mstarlabs.com/control/znrule.html" target="_blank">http://www.mstarlabs.com/control/znrule.html</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li>
<li id="fn:4"><p>Ziegler–Nichols Tuning Rules for PID, Microstar Laboratories <a href="http://www.mstarlabs.com/control/znrule.html" target="_blank">http://www.mstarlabs.com/control/znrule.html</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li>
<li id="fn:5"><p>Ziegler–Nichols Tuning Rules for PID, Microstar Laboratories <a href="http://www.mstarlabs.com/control/znrule.html" target="_blank">http://www.mstarlabs.com/control/znrule.html</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li>
<li id="fn:6"><p>Ziegler–Nichols Tuning Rules for PID, Microstar Laboratories <a href="http://www.mstarlabs.com/control/znrule.html" target="_blank">http://www.mstarlabs.com/control/znrule.html</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li>
<li id="fn:7"><p>Ziegler–Nichols Tuning Rules for PID, Microstar Laboratories <a href="http://www.mstarlabs.com/control/znrule.html" target="_blank">http://www.mstarlabs.com/control/znrule.html</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></p></li>
</ol>

Ziegler–Nichols method open-in-new

Ziegler–Nichols method