Consider the control system with a PD controller shown in Figure (2). The control objective is to design a PD controller to satisfy maximum overshoot and rise time with less than 10% and 0.5 sec respectively. 1. Determine the ranges of the values of Kp and Kp for stability. 2. Sketch the root locus for the system with (Kp = 0) and (0 < Kp < œ). Then draw the locus contours for 0 < Kp <∞ and several fixed values of Kp starting from 0.001 to 0.0: 10000 R(s)- Kp + Kps Y(s) s²(s + 10)
Consider the control system with a PD controller shown in Figure (2). The control objective is to design a PD controller to satisfy maximum overshoot and rise time with less than 10% and 0.5 sec respectively. 1. Determine the ranges of the values of Kp and Kp for stability. 2. Sketch the root locus for the system with (Kp = 0) and (0 < Kp < œ). Then draw the locus contours for 0 < Kp <∞ and several fixed values of Kp starting from 0.001 to 0.0: 10000 R(s)- Kp + Kps Y(s) s²(s + 10)
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![Consider the control system with a PD controller shown in Figure (2). The control objective is to
design a PD controller to satisfy maximum overshoot and rise time with less than 10% and 0.5 sec
respectively.
1. Determine the ranges of the values of Kp and Kp for stability.
2. Sketch the root locus for the system with (Kp = 0) and (0 < Kp < œ). Then draw the
locus contours for 0 < Kp <∞ and several fixed values of Kp starting from 0.001 to 0.0:
10000
R(s)-
Kp + Kps
Y(s)
s²(s + 10)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1d22e4a-ead0-4f5c-92b6-3fe97fa4c27f%2F8cc6a225-1eff-471d-83bc-da5951d0ef75%2Fzghaqh7.png&w=3840&q=75)
Transcribed Image Text:Consider the control system with a PD controller shown in Figure (2). The control objective is to
design a PD controller to satisfy maximum overshoot and rise time with less than 10% and 0.5 sec
respectively.
1. Determine the ranges of the values of Kp and Kp for stability.
2. Sketch the root locus for the system with (Kp = 0) and (0 < Kp < œ). Then draw the
locus contours for 0 < Kp <∞ and several fixed values of Kp starting from 0.001 to 0.0:
10000
R(s)-
Kp + Kps
Y(s)
s²(s + 10)
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