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For what value(s) of the gain K does the closed-loop system have two real repeated poles?

For what value(s) of the gain K does the closed-loop system have two real repeated poles?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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A dynamic system in a negative unity feedback configuration has the root locus, shown in Fig. 1. For what value(s) of the gain K does the closed-loop system have two real repeated poles? For the these value(s) of K list the other poles 0.78 0.89 2 0.97 K=8 0.97 K=6 k=3 0.89 0.78 K=1 00 K=4 X=2 0.66 K=I 0.66 43 0.52 K=4 (K=3 K=4 K=2 0.52 0.38 K=1 K=6 K=6 0.38 Figure 1 0.26 0.26 0.12 K=8 K=3 K=4 0.12 K=3 K=6 K=2 K=8 Im s K=1 K=4 Res K=1 K=6 K=8₁ 1
Transcribed Image Text:A dynamic system in a negative unity feedback configuration has the root locus, shown in Fig. 1. For what value(s) of the gain K does the closed-loop system have two real repeated poles? For the these value(s) of K list the other poles 0.78 0.89 2 0.97 K=8 0.97 K=6 k=3 0.89 0.78 K=1 00 K=4 X=2 0.66 K=I 0.66 43 0.52 K=4 (K=3 K=4 K=2 0.52 0.38 K=1 K=6 K=6 0.38 Figure 1 0.26 0.26 0.12 K=8 K=3 K=4 0.12 K=3 K=6 K=2 K=8 Im s K=1 K=4 Res K=1 K=6 K=8₁ 1
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