Consider the plant with transfer function G(s) connected in standard feedback configuration with the controller De(s) = K. 1) 2) = s+2 (s+1)²+1 Sketch the root locus for G(s). Explain what rules you used to plot it. (Be sure to describe the following: the number of branches, where they start and where they are going; the real-axis portion of the root locus; jw-axis crossings (if any); points of multiple roots (if any).) What conditions need to be imposed if we want our closed-loop system to have no oscillations under a step input? Explain the conditions from the root locus. + Ro Σ Dc(s) G(s) Figure 1: Control system in Problem 1.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider the plant with transfer function G(s)
connected in standard feedback configuration with the controller De(s) = K.
1)
2)
=
s+2
(s+1)²+1
Sketch the root locus for G(s). Explain what rules you used to plot it. (Be
sure to describe the following: the number of branches, where they start and where
they are going; the real-axis portion of the root locus; jw-axis crossings (if any); points
of multiple roots (if any).)
What conditions need to be imposed if we want our closed-loop system to
have no oscillations under a step input? Explain the conditions from the root locus.
+
Ro Σ Dc(s)
G(s)
Figure 1: Control system in Problem 1.
Transcribed Image Text:Consider the plant with transfer function G(s) connected in standard feedback configuration with the controller De(s) = K. 1) 2) = s+2 (s+1)²+1 Sketch the root locus for G(s). Explain what rules you used to plot it. (Be sure to describe the following: the number of branches, where they start and where they are going; the real-axis portion of the root locus; jw-axis crossings (if any); points of multiple roots (if any).) What conditions need to be imposed if we want our closed-loop system to have no oscillations under a step input? Explain the conditions from the root locus. + Ro Σ Dc(s) G(s) Figure 1: Control system in Problem 1.
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