GATE EE 2016 Set 2 — Question 49
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Control Systems → Stability Analysis → Routh-Hurwitz Criterion
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Question
The open loop transfer function of a unity feedback control system is given byThe closed loop system will be stable if,
Correct answer
(C) 0 < K < (T+2)/(T-2)
Solution
The characteristic equation of the closed-loop system is given by .Applying the Routh-Hurwitz stability criterion:
Thus, the condition for stability is .
- : |
- : |
- : | 0
- :
1. (Given)
2. (Satisfied as )
3. (Given)
4.
Solving the inequality from step 4:If , then .Thus, the condition for stability is .
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