The open loop transfer function of a unity feedback control system is given by G (s) = \frac{K (s + 1) }{s (1 + Ts) (1 + 2s) },K > 0,T > 0. The closed loop system will be stable if,

Correct Answer is : 0<K<T+2T−2

0 > T < \frac{4 (k + 1) }{k−1}

0 > K < \frac{4 (T + 2) }{T−2}

0 < T < \frac{8 (k + 1) }{k−1}

GATE Electrical Engineering (EE) 2016 Shift 2 Solved Paper

Question : 49 of 65

Marks: +1, -0

The open loop transfer function of a unity feedback control system is given by

G (s) = \;{K\;(s\;+\;1)\;}/{s\;(1\;+\;Ts)\;\;(1\;+\;2s)\;},K > 0,T > 0.

The closed loop system will be stable if,

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