GATE EC 2015 Set 1 — Question 58
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Control Systems → Compensators & Controllers → PID Controllers
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Question
A plant transfer function is given as . When the plant operates in a unity feedback configuration, the condition for the stability of the closed loop system is
Correct answer
(A) Kₚ (K_I)/(2) 0
Solution
The open-loop transfer function is . The characteristic equation for unity feedback is , which gives . Applying the Routh-Hurwitz criterion:
For stability, all elements in the first column must be positive:
| Column 1 | Column 2 | |
|---|---|---|
| 1 | ||
| 2 | ||
| 0 | ||
1.
2.
Combining these conditions, we get . Thus, option (A) is correct.Continue learning with Success Tracker
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