Homework Solution Set #12
Spring 2012 Control Systems I
Name: _
Hw_73 - From the Characteristic Equation (C.E.), below, in order to construct the Root Locus
showing the effect of varying a system parameter, P, we need to derive, from the C.E., a
loop-gain

Homework Solution Set # 3
Spring 2012 Control Systems I
Name: _
Aux-14 - Often non-linear devices are used in control system designs and since calculations are based on linear time
invariant properties, it is necessary that a straight line approximation b

Homework Set #4
Fall 2011 Control Systems I
Work problems on a printout of this document. Enter answers in boxes provided
NAME: _
HW-21 Work problem E2.13 the 11th edition of the text book or problem E2.14 in the 12th
edition.
Answer
Y1 ( s)
R2 ( s)
Workf

Homework Set #4
Fall 2011 Control Systems I
Work problems on a printout of this document. Enter answers in boxes provided
NAME: _
HW-21 Work problem E2.13 the 11th edition of the text book or problem E2.14 in the 12th
edition.
Answer
Y1 ( s)
R2 ( s)
Workf

Homework Set #5
Spring 2012 Control Systems I
Work problems on a printout of this document. Enter answers in boxes provided
NAME: _
HW-27 For problem P2.32 in the 12th Edition of the text book, or for problem P2.33 in the 11th
Edition, solve for the Trans

Homework Set #6
Spring 2012 Control Systems I
Work problems on a printout of this document. Enter answers in boxes provided
NAME: _
R(s)
HW-34 Below is a model of a temperature-control system.
The nominal values of the parameters are: K = 30, = 2 and = 1.

Homework Set #7
Spring 2012 Control Systems I
Work problems on a printout of this document. Enter answers in boxes provided
NAME: _
HW_40 Given the A, B, and C state matrices, a) construct a flow graph, b) from the flow graph use
Y (s)
Masons Rule to deri

Homework Set #8
Spring 2012 Control Systems I
Work problems on a printout of this document. Enter answers in boxes provided
NAME: _
HW_46. Derive the sensitivity of the transfer function T
A1 kA2
with respect to the parameter k.
A3 kA4
T
Sk
WorkfileCont

Homework Set #9
Fall 2012 Control Systems I
Work problems on a printout of this document.
NAME: _
HW_54 The two control systems shown below have the same transfer function when K1 = K2 = 100. a) Derive the
transfer function for the two systems. b) Determ

Homework Solution Set #10
Spring 2012 Control Systems I
Name: _
Hw_61 Work Problem P4.4 in the text book.
Answers
a)
T(s)
b)
Y(s)
R(s)
ST
G
c)
Hw_62 Work problem AP4.8 in the text book.
WorkfileContents.doc
Last printed 4/4/2012 11:36 PM
Page 1 of 6
Wor

Homework Solution Set #11
Spring 2012 Control Systems I
Name: _
Hw_67 (a) Sketch the root locus for the control system shown. (b) Is there a value of K where
the system is stable or marginally stable?
.
R(s)
WorkfileContents.doc
Last printed 4/4/2012 11:3

Homework Solution Set #13 Solutions I
Name: _
Hw_81 - Determine the phase shift for the following loop gain. You are to assume that the
summing junction has a negative sign associated with it contributing an additional -180 degrees
phase shift.
a) [20%] W

Homework Solution Set # 2
Spring 2012Control Systems I
Name: _
Most students would benefit from a refresher in some of the basic prerequisites material that will
be used throughout the course. The first few problems focus on some of those requirements.
So