2. A unity gain feedback system has the open loop transfer function given by K G(s) = (s+3)(s+6) (s+7) a) If the feedback is negative, what range of k will result in a stable system? b) If the feedback is positive, what range of k will result in a stable system?

2. A unity gain feedback system has the open loop transfer function given by K G(s) = (s+3)(s+6) (s+7) a) If the feedback is negative, what range of k will result in a stable system? b) If the feedback is positive, what range of k will result in a stable system?

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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2. A unity gain feedback system has the open loop transfer function given by
K
G(s) =
(s+3)(s+6)(s+7)
a) If the feedback is negative, what range of k will result in a stable system?
b) If the feedback is positive, what range of k will result in a stable system?

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Step 1: Given open loop system and what we need to find

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Step 2: Finding closed loop system

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Step 3: Finding stability Using RH criterion

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Step 4: Range of K for nagative feed back

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Step 5: Transfer function of closed loop transfer function for positive feedback system

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Step 6: Finding stability using RH criterion

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