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 < c∞). Then draw the locus contours for 0 < Kp < c∞0 and several fixed values of Kp starting from 0.001 to 0.01. 10000 R(s). |Kp + Kps Y(s) s²(s + 10) Figure (2)
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 < c∞). Then draw the locus contours for 0 < Kp < c∞0 and several fixed values of Kp starting from 0.001 to 0.01. 10000 R(s). |Kp + Kps Y(s) s²(s + 10) Figure (2)
Chapter30: Ac Solid-state Reduced Voltage Controller
Section: Chapter Questions
Problem 1SQ: List some advantages of solid-state control.
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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 < c∞). Then draw the
locus contours for 0 < Kp < c∞0 and several fixed values of Kp starting from 0.001 to 0.01.
10000
R(s).
|Kp + Kps
Y(s)
s²(s + 10)
Figure (2)
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