GATE EC 2021 Set 1 — Question 58

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NAT+2 / -0MediumRouth-Hurwitz CriterionStability AnalysisControl SystemsPID ControllersCompensators & Controllers

Control Systems → Compensators & Controllers → PID Controllers

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Question

A unity feedback system that uses proportional-integral (PI) control is shown in the figure.
Control system block diagram with a PI controller and a fourth-order plant
The stability of the overall system is controlled by tuning the PI control parameters KpK_p and KIK_I. The maximum value of KIK_I that can be chosen so as to keep the overall system stable or, in the worst case, marginally stable (rounded off to three decimal places) is _________.
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