Difference between revisions of "Original Ziegler-Nichols gains listed after improved tuning rules are incorrect"

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(Created page with "{{Errata |Book edition=Second |Version number=3.0j |Submission date=31 Aug 2019 |Your name=Richard Murray |E-mail address=murray@cds.caltech.edu |Chapter number=11 |Page numbe...")
 
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|E-mail address=murray@cds.caltech.edu
 
|E-mail address=murray@cds.caltech.edu
 
|Chapter number=11
 
|Chapter number=11
|Page number=13
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|Page number=11-13
 
|Line number=22, 23
 
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|Current status=Closed
 
|Current status=Closed
 
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The gains listed in parenthesis in equation (11.10) are not quite correct:
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The gains listed in parenthesis in equation (11.10) need to be updated in conjunction with the [[Ziegler-Nichols_tuning_rules_don't_quite_match_the_original_gains_from_the_Ziegler-Nichols_paper|adjustment of the original Ziegler-Nichols gains]]:
  
* For the step response method in equation (11.10a) the original Ziegler-Nichols gains should be $k_p = 1.43T/(K \tau)$ and $k_i = 0.43 T / (K \tau^2)$.
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* For the step response method in equation (11.10a) the original Ziegler-Nichols gains should be $k_p = 0.9T/(K \tau)$ and $k_i = <font color=blue>0.27</font> T / (K \tau^2)$.
  
* For the frequency response method in equation (11.10b) the original Ziegler-Nichols gains should be $k_p = 0.45 k_c$ and $k_i = 0.54 k_c/T_c$.
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* For the frequency response method in equation (11.10b) the original Ziegler-Nichols gains should be $k_p = <font color=blue>0.45</font> k_c$ and $k_i = <font color=blue>0.54</font> k_c/T_c$.

Latest revision as of 08:43, 3 September 2019

Edition Second
Version number 3.0j
Submission date 31 Aug 2019
Your name Richard Murray
E-mail address murray@cds.caltech.edu
Chapter 11
Page number 11-13
Line number 22, 23
Current status Closed

The gains listed in parenthesis in equation (11.10) need to be updated in conjunction with the adjustment of the original Ziegler-Nichols gains:

  • For the step response method in equation (11.10a) the original Ziegler-Nichols gains should be $k_p = 0.9T/(K \tau)$ and $k_i = 0.27 T / (K \tau^2)$.
  • For the frequency response method in equation (11.10b) the original Ziegler-Nichols gains should be $k_p = 0.45 k_c$ and $k_i = 0.54 k_c/T_c$.