System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Textbook Question
Chapter 10, Problem 10.77P
Refer to Figure 10.3.9, which show s a speed control system using an armature-controlled dc motor. The motor has the follow ing parameter values. Create a Simulink model by modifying Figure 10.3.9 to use Pl control instead of P control. Use the PI control gains computed in Problem 10.50 part (b).
| Kb= 0.199 V-sec/rad | Ra= 0.43 Q |
| Kt= 0.141b-ft/A | ce= 3.6 x 10-4 Ib-ft-sec/rad |
| 4 = 2.08 x 10~3 slug-ft2 | La = 2.1 x IO"3 H |
| N = 1 | |
| a. Run the simulation using a unit-step command starting at t = 0 and a | |
unit-step disturbance starting at t = 4 sec. Plot the speed and the motor current versus time.
b. Run the simulation for 0 < t < 2 sec using a unit-ramp command. Plot the speed error and the motor current versus time.
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1) Consider the system below:
Vehicle
Controller
Steering
dynamics
Desired
Actual
bearing angle
bearing angle
50
1
K
s2 + 10s + 50
s(s + 5)
Figure 1: Simplified Block Diagram of a Self-Guiding Vehicle's Bearing Angle Control.
• Find a K value that the system has minimum rise time and minimum overshoot.
Let us call this proportional gain as Kopt
Show each step while finding Kopt-
Show the necessary graphical solutions.
Simulate the system response with 3 different K values. (Kopt and two other K
values close to Kopt) Show the system response (actual bearing angle) in a
single graph for different K values.
• Comment on the results.
H.w 2: The open loop response, that is, the speed of the motor to a voltage input of 20V, assuming a
system without damping is
dw
20 = (0.02) + (0.06)w.
dt
If the initial speed is zero (w(0) = 0) ,and using the Runge-Kutta 4th order method, what is the speed at
t = 0.8s? Assume a step size of h = 0.4s.
Please refer to the instruction below.
As7
A42
A76
x,
Aer
A43
A54
A65
A32
X,
A45
A s0
A23
A34
A72
Fig. 8-34
Identify the (a) input node, (b) output node, (c) forward paths, (d) feedback paths,
(e) self-loop. Determine the (f) loop gains of the feedback loops, (g) path gains of the forward
paths.
Chapter 10 Solutions
System Dynamics
Ch. 10 - Prob. 10.1PCh. 10 - 10.2 Draw the block diagram of a system using...Ch. 10 - Prob. 10.3PCh. 10 - Prob. 10.4PCh. 10 - Prob. 10.5PCh. 10 - Prob. 10.8PCh. 10 - Prob. 10.9PCh. 10 - Prob. 10.12PCh. 10 - Prob. 10.13PCh. 10 - Prob. 10.14P
Ch. 10 - Prob. 10.15PCh. 10 - Prob. 10.16PCh. 10 - Prob. 10.17PCh. 10 - Prob. 10.19PCh. 10 - Prob. 10.20PCh. 10 - Prob. 10.21PCh. 10 - Prob. 10.22PCh. 10 - Prob. 10.23PCh. 10 - Prob. 10.24PCh. 10 - Consider the PI speed control system shown in...Ch. 10 - Prob. 10.26PCh. 10 - Prob. 10.27PCh. 10 - Prob. 10.28PCh. 10 - Prob. 10.29PCh. 10 - Prob. 10.30PCh. 10 - Prob. 10.31PCh. 10 - Prob. 10.32PCh. 10 - Prob. 10.33PCh. 10 - Prob. 10.34PCh. 10 - Prob. 10.35PCh. 10 - Prob. 10.36PCh. 10 - For the designs found in part (a) of Problem...Ch. 10 - Prob. 10.39PCh. 10 - Prob. 10.40PCh. 10 - Prob. 10.41PCh. 10 - Prob. 10.44PCh. 10 - Prob. 10.45PCh. 10 - Prob. 10.46PCh. 10 - For the system shown in Figure 10.7.1, / = c = 1....Ch. 10 - Prob. 10.48PCh. 10 - Prob. 10.51PCh. 10 - Prob. 10.52PCh. 10 - Prob. 10.53PCh. 10 - Prob. 10.54PCh. 10 - Prob. 10.56PCh. 10 - Prob. 10.57PCh. 10 - Prob. 10.58PCh. 10 - Prob. 10.59PCh. 10 - Prob. 10.60PCh. 10 - Prob. 10.61PCh. 10 - Prob. 10.62PCh. 10 - Prob. 10.63PCh. 10 - Prob. 10.64PCh. 10 - Prob. 10.65PCh. 10 - Consider Example 10.6.3. Modify the diagram in...Ch. 10 - Prob. 10.67PCh. 10 - 10.68 Consider Example 10.6.4. Modify the diagram...Ch. 10 - 10.69 Figure P10.7 shows a system for controlling...Ch. 10 - A speed control system using an...Ch. 10 - Prob. 10.72PCh. 10 - Prob. 10.73PCh. 10 - Prob. 10.74PCh. 10 - Consider Example 10.7.4. Use the diagram in Figure...Ch. 10 - Prob. 10.76PCh. 10 - Refer to Figure 10.3.9, which show s a speed...Ch. 10 - For the system in Problem 10.77 part (a), create a...
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