The characteristic equation of a system is given by: s(s? + 2s + a) + K(s+1) = 0 The gain K is varied in the range [0, 0) to obtain the root locus for different values of a > 0. 7) The angle of departure(in degrees) from one of the complex open-loop poles(when they exist) vary w.r.t. as: 2| (represents the absolute value of a complex number) 90 – tan- ( 2-a ), a > 2 tan1 (VTα ) , α> 1 180 – tan-1 (V1-– a|), a < 1 2-a tan-1 (/1), a < 2

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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The characteristic equation of a system is given by:
s(s? + 2s + a) + K(s+1)
S
The gain K is varied in the range 0, 0) to obtain
the root locus for different values of a > 0.
7) The angle of departure(in degrees) from
one of the complex open-loop
poles(when they exist) vary w.r.t. a as: z|
(represents the absolute value of a complex
number)
90 – tan-1(|/2,ª ), a > 2
tan (VT-a), α> 1
180 – tan-1 (V1 – al), a < 1
*(), a < 2
2-a
tan-(.
Transcribed Image Text:The characteristic equation of a system is given by: s(s? + 2s + a) + K(s+1) S The gain K is varied in the range 0, 0) to obtain the root locus for different values of a > 0. 7) The angle of departure(in degrees) from one of the complex open-loop poles(when they exist) vary w.r.t. a as: z| (represents the absolute value of a complex number) 90 – tan-1(|/2,ª ), a > 2 tan (VT-a), α> 1 180 – tan-1 (V1 – al), a < 1 *(), a < 2 2-a tan-(.
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