Difference between revisions of "HW 7 Prob 1 Comments"

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Remember that when you use the Ziegler-Nichols method, you need to plot the unit step response for the plant. You must draw the steepest tangent line to the step response until it crosses the two axes. You can then approximate the values for "a" and "tao" by visual or numerical approximation.  Knowing these values will then allow you to determine the values of othe parameters found on Table 10.1 on pg. 301 of AM07. You should also plot the step response of the closed-loop system and determine the phase and gain margins.  
+
For Problem 1c you need to design two controllers. The first one is
 +
designed using the Ziegler-Nichols rules for the step response method.
 +
You need to plot the step response of the closed-loop and the frequency
 +
response of the loop transfer function L. Then you are asked to design a
 +
controller using the Ziegler-Nichols rules for the frequency response
 +
method. You also need to plot the step response of the closed-loop and
 +
the frequency response of the loop transfer function L (this is what is
 +
in the solutions). Both the step response method and frequency response
 +
method rules are found in table 10.1 on pg. 301.
 +
 
 +
 
 +
Remember that when you use the step-response Ziegler-Nichols method, you need to plot the unit step response for the plant. You must draw the steepest tangent line to the step response until it crosses the two axes. You can then approximate the values for "a" and "tao" by visual or numerical approximation.  
 
As usual for all HW questions, give a title to your plots, label axes, and turn in code along with your plots.
 
As usual for all HW questions, give a title to your plots, label axes, and turn in code along with your plots.
 
--[[User:Soto|Soto]] 14:20, 25 November 2007 (PST)
 
--[[User:Soto|Soto]] 14:20, 25 November 2007 (PST)
 
[[Category: CDS 101/110 FAQ - Homework 7]]
 
[[Category: CDS 101/110 FAQ - Homework 7]]
 
[[Category: CDS 101/110 FAQ - Homework 7, Fall 2007]]
 
[[Category: CDS 101/110 FAQ - Homework 7, Fall 2007]]

Revision as of 07:34, 26 November 2007

For Problem 1c you need to design two controllers. The first one is designed using the Ziegler-Nichols rules for the step response method. You need to plot the step response of the closed-loop and the frequency response of the loop transfer function L. Then you are asked to design a controller using the Ziegler-Nichols rules for the frequency response method. You also need to plot the step response of the closed-loop and the frequency response of the loop transfer function L (this is what is in the solutions). Both the step response method and frequency response method rules are found in table 10.1 on pg. 301.


Remember that when you use the step-response Ziegler-Nichols method, you need to plot the unit step response for the plant. You must draw the steepest tangent line to the step response until it crosses the two axes. You can then approximate the values for "a" and "tao" by visual or numerical approximation. As usual for all HW questions, give a title to your plots, label axes, and turn in code along with your plots. --Soto 14:20, 25 November 2007 (PST)