Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 12, Problem 16RQ
Under what conditions can inspection of the signal-flow graph of a system yield immediate determination of observability?
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QUESTION 5
Consider the system whose block diagram is shown below.
D(s)
R(s) +
+
C(s)
K
G(s)
G(8)
R(s) is the reference input or target, and D(s) is the disturbance input. Gp(t) is the plant (house, motor, car,...) transfer function, Gc(t) is the compensator transfer function, and K is the compensator
gain given by
1
G (s)
G (s)
=
P
s+10
1
3s+2
and K=5.
Find the transfer function, C(s)/R(s).
3
s²+16s+14
8
3s²+32s+25
S
382+8+6
8(s+ 10)
3s² + 32s+25
3s+2
3s²+32s+25
5
3x²+32x+25
Conclusion on observable Canonical Form and Observer Design in control engineering
Q4) A particular control system yielded a steady state error of 0.20 for unit step input. A
unit integrator is cascaded to this system and unit ramp input is applied to this
modified system. What is the value of steady-state error for this modified system?
Chapter 12 Solutions
Control Systems Engineering
Ch. 12 - Prob. 1RQCh. 12 - Prob. 2RQCh. 12 - 3. Different signal-flow graphs can represent the...Ch. 12 - Prob. 4RQCh. 12 - Under what conditions can inspection of the...Ch. 12 - In order to determine controllability...Ch. 12 - Prob. 7RQCh. 12 - Prob. 8RQCh. 12 - Prob. 9RQCh. 12 - Prob. 10RQ
Ch. 12 - Prob. 11RQCh. 12 - Prob. 12RQCh. 12 - Prob. 13RQCh. 12 - Prob. 14RQCh. 12 - 15. In order to effect a complete observer design,...Ch. 12 - Under what conditions can inspection of the...Ch. 12 - 17. In order to determine observability...Ch. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - 3. The following open-loop transfer functions can...Ch. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - Prob. 10PCh. 12 - Prob. 11PCh. 12 - Prob. 12PCh. 12 - Prob. 13PCh. 12 - Prob. 14PCh. 12 - Prob. 15PCh. 12 - Repeat Problem 14 assuming that the plant is...Ch. 12 - The open-loop system of Problem 14 is represented...Ch. 12 - Prob. 18PCh. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - Prob. 24PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 29PCh. 12 - Prob. 30PCh. 12 - Prob. 31PCh. 12 - Prob. 32PCh. 12 - Prob. 33PCh. 12 - Prob. 41PCh. 12 - Prob. 42PCh. 12 - Prob. 44P
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- 1. Use Mason's rule to find the transfer function of the signal-flow diagram shown in figure below: G.S) Gy (s) C (s ) RCS) फेडarrow_forwardP.3: An input of 25t³u(t) applied to the input of a Type 3 unity feedback system where 210(s+4)(s+6)(s+11)(s +13) $³ (s+7)(s+ 14)(s +19) G(s) = Find the steady-state error in position. R(s) + E(s) G(s) SR(s) e(co) = lim- 01+G(s) C(s)arrow_forwardFor the system with open loop transfer function given by R(s) K s(s + 1) (s² + 4s +13) where K is the feedback gain. Sketch the root locus a) How many asymptotes are there for this system's root locus? what are asymptote angles? What is the center of asymptotes? C(s) b) Does the root locus cross the imaginary axis? where and what is the value of K at that point? c) Is there any break away, break in points? What is the approximate values of these points?arrow_forward
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