Difference between revisions of "HW 7 Prob 1 Comments"

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For Problem 1c you need to design two controllers. The first one is
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For Problem 1c you need to design only ONE controller (ignore the plural 'controllers' in the HW wording for 1c). The controller should be designed using the Ziegler-Nichols rules for the step response method.  
designed using the Ziegler-Nichols rules for the step response method.
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You need to plot the step response and the frequency response (bode plot) of your final design (i.e., the closed-loop system) You also need to compute the gain & phase margins of the loop transfer function L.  
You need to plot the step response of the closed-loop and the frequency
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response of the loop transfer function L. Then you are asked to design a
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controller using the Ziegler-Nichols rules for the frequency response
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method. You also need to plot the step response of the closed-loop and
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the frequency response of the loop transfer function L (this is what is
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in the solutions). Both the step response method and frequency response
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method rules are found in table 10.1 on pg. 301.
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The Ziegler-Nichols step response method rules are found in Table 10.1a on pg. 301. Remember that 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. You might need to change the y-axis range of the plot to determine the y-intercept.
  
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 17:49, 26 November 2007

For Problem 1c you need to design only ONE controller (ignore the plural 'controllers' in the HW wording for 1c). The controller should be designed using the Ziegler-Nichols rules for the step response method. You need to plot the step response and the frequency response (bode plot) of your final design (i.e., the closed-loop system) You also need to compute the gain & phase margins of the loop transfer function L.

The Ziegler-Nichols step response method rules are found in Table 10.1a on pg. 301. Remember that 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. You might need to change the y-axis range of the plot to determine the y-intercept.

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)