B-6-6. Show that the root loci for a control system with G(s) ======= K(s² + 6s+ 10) H(s) = 1 s² + 2s + 10 are arcs of the circle centered at the origin with radius equal to √10.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter5: Transmission Lines: Steady-state Operation
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Modern control engineering 4th edition, chapter 6. I would like to understand the details of the method for doing this. Thank you in advance for your answer.

B-6-6. Show that the root loci for a control system with
G(s)
=======
K(s² + 6s+ 10)
H(s)
=
1
s² + 2s + 10
are arcs of the circle centered at the origin with radius equal
to √10.
Transcribed Image Text:B-6-6. Show that the root loci for a control system with G(s) ======= K(s² + 6s+ 10) H(s) = 1 s² + 2s + 10 are arcs of the circle centered at the origin with radius equal to √10.
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