CONTROL SYSTEMS ENGINEERING
7th Edition
ISBN: 9781119185666
Author: NISE
Publisher: WILEY
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Question
Chapter 7, Problem 23P
a.
To determine
The type of given system.
b.
To determine
The expected error of the system for given input.
c.
To determine
The expected error of the system for the given input.
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6. Consider a 10N step input to the mechanical system shown below, take M = 15kg, K = 135N/m, and
b = 0.4 Ns/m.
(a) Assume zero initial condition, calculate the
(i)
System pole
(ii)
System characterization, and
(iii) The time domain response
(b) Calculate the steady-state value of the system
b
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2. Solve the following linear time invariant differential equations using Laplace transforms subject to
different initial conditions
(a) y-y=t
for y(0) = 1 and y(0) = 1
(b) ÿ+4y+ 4y = u(t)
for y(0) = 0 and y(0) = 1
(c) y-y-2y=0
for y(0) = 1 and y(0) = 0
3. For the mechanical systems shown below, the springs are undeflected when x₁ = x2 = x3 = 0 and
the input is given as fa(t). Draw the free-body diagrams and write the modeling equations governing
each of the systems.
K₁
000
K₂
000
M₁
M2
-fa(t)
B₂
B₁
(a)
fa(t)
M2
K₂
000
B
K₁
x1
000
M₁
(b)
Chapter 7 Solutions
CONTROL SYSTEMS ENGINEERING
Ch. 7 - Prob. 1RQCh. 7 - A position control, tracking with a constant...Ch. 7 - Name the test inputs used to evaluate steady-state...Ch. 7 - Prob. 4RQCh. 7 - Increasing system gain has what effect upon the...Ch. 7 - Prob. 6RQCh. 7 - Prob. 7RQCh. 7 - Prob. 8RQCh. 7 - Prob. 9RQCh. 7 - The forward transfer function of a control system...
Ch. 7 - Prob. 11RQCh. 7 - Prob. 12RQCh. 7 - Is the forward-path actuating signal the system...Ch. 7 - Prob. 14RQCh. 7 - Prob. 15RQCh. 7 - Name two methods for calculating the steady-state...Ch. 7 - Prob. 1PCh. 7 - Figure P7.2 shows the ramp input r(t) and the...Ch. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - A system has Kp = 4. What steady-state error can...Ch. 7 - Prob. 10PCh. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - For the system shown in Figure P7.4. [Section:...Ch. 7 - Prob. 14PCh. 7 - 1515. Find the system type for the system of...Ch. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Given the system of Figure P7.8, design the value...Ch. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Given the system in Figure P7.9, find the...Ch. 7 - Repeat Problem 33 for the system shown in Figure...Ch. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Design the values of K1and K2in the system of...Ch. 7 - Prob. 41PCh. 7 - For each system shown in Figure P7.17, find the...Ch. 7 - For each system shown in Figure P7.18, find the...Ch. 7 - Prob. 44PCh. 7 - 45. For the system shown in Figure P7.20,...Ch. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68P
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