Difference between revisions of "HW 7 Prob 3 Hint"

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Part c asks you to manipulate the specific system in part b by making k_p a parameter once again and plotting how the closed loop poles vary as k_p is varied.  The first set of plots asked for should have 4 subplots: Re(pole 1) vs k_p, Im(pole 1) vs k_p, Re(pole 2) vs k_p, and Im(pole 2) vs k_p.  The second plot is a root locus plot, with k_p acting as the loop gain (as discussed in class on Wednesday)- don't forget to label gains at interesting features!
 
Part c asks you to manipulate the specific system in part b by making k_p a parameter once again and plotting how the closed loop poles vary as k_p is varied.  The first set of plots asked for should have 4 subplots: Re(pole 1) vs k_p, Im(pole 1) vs k_p, Re(pole 2) vs k_p, and Im(pole 2) vs k_p.  The second plot is a root locus plot, with k_p acting as the loop gain (as discussed in class on Wednesday)- don't forget to label gains at interesting features!
  
--[[User:Braman|Braman]] 10:14, 25 November 2007 (PST)
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--[[User:Braman|Julia Braman]] 10:14, 25 November 2007 (PST)
  
 
[[Category: CDS 101/110 FAQ - Lecture 8-3]]
 
[[Category: CDS 101/110 FAQ - Lecture 8-3]]
 
[[Category: CDS 101/110 FAQ - Homework 7, Fall 2007]]
 
[[Category: CDS 101/110 FAQ - Homework 7, Fall 2007]]

Latest revision as of 18:14, 25 November 2007

This question's purpose is to give you some intuition about how controller gains affect the closed loop system, particularly the poles.

Part a is a simple manipulation. You are given the form of the denominator of the closed loop system (T(s)= L(s)/(1+L(s))), the plant, and the controller. You must then find expressions for k_p and T_i in terms of the other parameters. Part b follows from this part, solving for a specific system.

Part c asks you to manipulate the specific system in part b by making k_p a parameter once again and plotting how the closed loop poles vary as k_p is varied. The first set of plots asked for should have 4 subplots: Re(pole 1) vs k_p, Im(pole 1) vs k_p, Re(pole 2) vs k_p, and Im(pole 2) vs k_p. The second plot is a root locus plot, with k_p acting as the loop gain (as discussed in class on Wednesday)- don't forget to label gains at interesting features!

--Julia Braman 10:14, 25 November 2007 (PST)