Electrical Motor Controls for Integrated Systems Workbook
5th Edition
ISBN: 9780826912275
Author: Gary Rockis;Glen A. Mazur
Publisher: American Technical Publishers
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Chapter 1.1, Problem 15CP
To determine
The resistance of the heating element.
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3. The following closed-loop systems in Fig. 1 and Fig. 2 operate with a damping ratio of 0.707
(=0.707). The system in Fig. 1 does not have a PI controller, while the one in Fig. 2 does.
R(s):
S
Gain
Plant
R(s) +
E(s)
1
C(s)
K
(s+1)(s+2)(s+10)
Fig. 1: Closed-loop system without PI controller
Compensator
Plant
R(s) +
E(s)
K(s+0.1)
S
1
(s+1)(s+2)(s+10)
C(s)
Fig. 2: Closed-loop system with a practical PI controller
a. Please use Matlab to find the intersection point between line and the root locus of the
system in Fig. 1. Then find the K value and one complex closed-loop pole corresponding
to the intersection point. Calculate the steady-state error. Show the Matlab code in your
answer sheet.
b. Please use Matlab to find the intersection point between § line and the root locus of the
system in Fig. 2. Then find the K value and one complex closed-loop pole associated with
the intersection point. Compare the complex closed-loop pole with the one you just found
in task a. Are they very…
1. Please draw the root locus by hand for the following closed-loop system, where G(s) =
s+6
=
S-2
s+8
s-2'
and H(s) = Find the range of K for stability using Method II in Examples 2 and 3 in
Lecture 15.
Input
R(s)
Output
C(s)
KG(s)
H(s)
9-1) Lathi & Ding, Prob. P.5.1-10
(a) A first-order-hold circuit can also be used to reconstruct a signal g(t) from its samples. The
impulse response of this circuit is
h(t) = A
(
2Ts
12
where Ts is the sampling interval. Consider a typical sampled signal ğ(t) and show that this
circuit performs the linear interpolation. In other words, the filter output consists of sample
tops connected by straight-line segments. Follow the procedure discussed in Sec. 5.1.2
(Fig. 5.6) for a typical signal g(t).
(b) Determine the transfer function of this filter and its amplitude response, and compare it with
the ideal filter required for signal reconstruction.
Chapter 1 Solutions
Electrical Motor Controls for Integrated Systems Workbook
Ch. 1.1 - Prob. 1CPCh. 1.1 - Prob. 2CPCh. 1.1 - Prob. 3CPCh. 1.1 - Prob. 4CPCh. 1.1 - Prob. 5CPCh. 1.1 - Prob. 6CPCh. 1.1 - Prob. 7CPCh. 1.1 - Prob. 8CPCh. 1.1 - Prob. 9CPCh. 1.1 - Prob. 10CP
Ch. 1.1 - Prob. 11CPCh. 1.1 - Prob. 12CPCh. 1.1 - Prob. 13CPCh. 1.1 - Prob. 14CPCh. 1.1 - Prob. 15CPCh. 1.2 - Prob. 1CPCh. 1.2 - Prob. 2CPCh. 1.2 - Prob. 3CPCh. 1.2 - Prob. 4CPCh. 1.2 - Prob. 5CPCh. 1.2 - Prob. 6CPCh. 1.3 - Prob. 1CPCh. 1.3 - Prob. 2CPCh. 1.3 - Prob. 3CPCh. 1.3 - Prob. 4CPCh. 1.3 - Prob. 5CPCh. 1.4 - Prob. 1CPCh. 1.4 - Prob. 2CPCh. 1.4 - Prob. 3CPCh. 1.4 - Prob. 4CPCh. 1.4 - Prob. 5CPCh. 1.4 - Prob. 6CP
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