GATE EE 2022 Set 1 — Question 19
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Control Systems → Stability Analysis → Routh-Hurwitz Criterion
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Question
The open loop transfer function of a unity gain negative feedback system is given byThe range of for which the system is stable, is
Correct answer
(C) k 5
Solution
The characteristic equation of the unity gain negative feedback system is given by:For a second-order system to be stable, all the coefficients of the characteristic equation must be positive. Therefore:
1.The coefficient of is , which is .
2.The constant term must be positive: .
Thus, the range of for which the system is stable is .Continue learning with Success Tracker
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