7.For the unity feedback closed-loop system with forward transfer function K G(s) = 2 +5s +1) (a) Find the range of K for which the system is stable. (b) Find the gain value at which the system has jw-axis poles and determine the pole locations. (c) For K =0.5, what is the steady-state error (i) due to a unit step? (ii) due to a unit parabolic?

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
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.3P
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May I ask for you to explain all the steps in detail and telling why you used that formula and calculations, please. Thanks a lot.

 
7.For the unity feedback closed-loop system with forward transfer function
K
G(s) =
2
+5s +1)
(a) Find the range of K for which the system is stable.
(b) Find the gain value at which the system has jw-axis poles and determine the pole
locations.
(c) For K =0.5, what is the steady-state error
(i) due to a unit step?
(ii) due to a unit parabolic?
Transcribed Image Text:7.For the unity feedback closed-loop system with forward transfer function K G(s) = 2 +5s +1) (a) Find the range of K for which the system is stable. (b) Find the gain value at which the system has jw-axis poles and determine the pole locations. (c) For K =0.5, what is the steady-state error (i) due to a unit step? (ii) due to a unit parabolic?
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