DORDT COLLEGE ENGINEERING DEPARTMENT
CONTROL SYSTEMS — EGR 362
(FALL 2008)

PROBLEM SETS

(Last update: 12/13/2008 2:48 pm)
PS
#   		Assigned Due Returned Problems Assigned
(In Ogata's text unless otherwise noted)
11

11/21 12/05 12/10   Review Ch 6 as need, Read 6.4
  Do B-6-5
 
  Hints: On B-6-5 first use Matlab to plot the
  locus. Make sure the axes are scaled so that
  the details of the interesting areas are
  visible. Then do calculations for asymptotes,
  centroid, etc. and compare to the Matlab plot.
  Be sure to calculate the jw axis crossing as
  requested in the problem statement.
10

11/14 11/21 12/03   Read Ch 6 through Section 6.3
  Do B-6-3
 
  Hints: On B-6-3 be sure to find the portion of
  the locus on the real axis, and the angles of
  the asymptotes. You may assume a breakaway
  point at about s = -0.4. Sketch the locus on a
  big enough area.
9

11/07 11/14 11/19   Review class notes on convolution as needed.
  Do 12.1.1, 12.1.3 from a text by Lindner
  (Click the link to see the problems.)
 
  (On Friday, 11/14/08 at 5 pm a typographic error in
  this problem set was fixed, namely "12.1.2" was
  changed to "12.1.3.")
8

10/24 11/07 11/14   Review Chapter 5 as needed,
  also read Sections 5.8, 5.9
  Do B-5-14, B-5-15, B-5-22, B-5-30  
  Note 1) Use of Matlab can ease your work on
  problems B-5-14 and B-5-15 but not the others.  
  Note 2) For problem B-5-15 do not forget to
  discuss which system is best.  
  Note 3) This system has no input signal but
  has an initial displacement and velocity. The
  question asks how the system responds to the
  initial conditions. Please "obtain" an
  analytical expression for y(t). (In contrast
  to a plot of y(t).) The problem can be solved
  a number of different ways, all of which rely
  on what you learned in differential equations.
7

10/17 10/24 11/10   Read Sections 5.5, 5.6, 5.7
  Do B-5-9, B-5-13, B-5-19, B-5-20, B-5-23
 
  Notes:
  B-5-9 is a much longer problem than average.
  It has these parts. . .  
  a.) Find a formula for the step response for
  system without tachometer feedback. Plot it.  
  b.) Find a formula for the step response for
  the system with tachometer feedback. Plot it.
  Also find Kh.  
  c.) Find a formula for the error for a ramp
  input to the system without tachometer
  feedback. Plot it.  
  d.) Find a formula for the error for a ramp
  input to the system with tachometer feedback.
  Plot it. You should notice that techometer
  feedback trades accuracy for faster settling.
 
  Liberal use of Matlab on most of these problems
  will ease your workload, even though you are
  learning how to apply Matlab to the problems.
6

10/10 10/17 10/24   Read Chapter 5 through Section 5.4
  Do B-5-1, B-5-2, B-5-4, B-5-5, B-5-6, B-5-10
5

9/26 10/10 10/17   Read 3-6, 3-7, All of Chapter 4
  Do B-3-11 (use Matlab), B-3-28 (This system has
  two inputs, x and y. It has one output, z.),
  B-3-29, B-4-1, B-4-2, B-4-5, B-4-6, B-4-11
4

9/19 9/26 10/01   Read 3-9, 3-4, 3-5
  Do B-3-26, B-3-27, B-3-7, B-3-8, B-3-9, B-3-10,
  B-3-12
3

9/15 9/19 9/24
at
9:15 AM 		  Review Ch 2, Read 3-1, 3-2, 3-3
  Do B-2-14, B-3-1, B-3-2, B-3-3, B-3-5., B-3-13,
  B-3-14
2

9/05 9/12 9/17   Review Ch. 2, Read 2-7
  Do B-2-13, B-2-18, B-2-20, B-2-21, B-2-22, B-2-23
  Note errata on B-2-20 and B-2-23.
  (The errata on B-2-20 was updated on 9/05.)
1

8/27 9/05 9/08

See
notes
3 and 6
below. 		  Read Chapter 1 and
  Chapter 2 through Section 2-6
  Review as necessary from your EGR 221
  textbook and/or your MATH 204 textbook.
 
  Prove line 7 on page 17 using the definition of
  the Laplace transform (page 13). Also,
  B-2-6, B-2-9 both via tables (pages 17, 18, 31).
  Bring homework questions to class on Friday.

Note 1) Discussion in class is an important part of working the assignments. Students must be prepared to discuss the assignments starting with the class following the "Assigned" date.

Note 2) The text includes "Examples" embedded throughout the reading assignments. Near the end of each chapter there are more solved problems, the "A" problems—so-called because their labels start with the letter "A." The assigned problems are mostly from the set of "B" problems found at the end of each chapter. For many assigned "B" problems there are similar "A" problems with complete solutions.

Note 3) If the "Returned" date is a link, then the solution key is posted on courses@dordt.

Note 4) Problem sets shown above with no "Assigned" date are tentative. More problems might be added, expected due dates might change, but problems shown will eventually be assigned.

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