GATE EC 2026 Set 1 — Question 40
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Control Systems → Compensators & Controllers → Open & Closed-Loop Systems
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Question
For the control system shown in the Figure, the transfer function of a plant, is connected in cascade with a compensator , where and are positive real valued constants. Which of the following pairs represent the correct values for the closed loop system to have poles at ?
Correct answer
(B) 3, 4
Solution
The open-loop transfer function is given by:For a unity negative feedback system, the characteristic equation is :The desired closed-loop poles are at . The desired characteristic equation is:Comparing the coefficients of equations (1) and (2):
1.Coefficient of :
2.Constant term:
Thus, the pair is , which corresponds to option (B).Continue learning with Success Tracker
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