GATE EC 2014 Set 4 — Question 57
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Control Systems → Stability Analysis → Routh-Hurwitz Criterion
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Question
Consider a transfer function with a positive real parameter. The maximum value of until which remains stable is ________.
Correct answer
1.9 to 2.1
Solution
For a second-order system with a characteristic equation of the form , the system is stable if and only if all coefficients are positive ( and ). The denominator of the transfer function provides the characteristic equation:For stability:
1.The coefficient of must be positive: .
2.The constant term must be positive: .
Given that is a positive real parameter (), the range of for which the system remains stable is . Therefore, the maximum value of is 2.Continue learning with Success Tracker
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