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

Question

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

TuteeHUB · Accepted Answer

$0 < T < \frac{{8\left( {k + 1} \right)}}{{k - 1}}$

TuteeHUB · Answer

$0 > T < \frac{{4\left( {k + 1} \right)}}{{k - 1}}$

TuteeHUB · Answer

$0 > K < \frac{{4\left( {T + 2} \right)}}{{T - 2}}$

TuteeHUB · Answer

$0 < K < \frac{{T + 2}}{{T - 2}}\;$

1.	The open loop transfer function of a unity feedback control system is given by\(G\left( s \right) = \frac{{K\left( {s + 1} \right)}}{{s\left( {1 + Ts} \right)\left( {1 + 2s} \right)}},K > 0,T > 0.\)The closed loop system will be stable if,
A.	\(0 > T < \frac{{4\left( {k + 1} \right)}}{{k - 1}}\)
B.	\(0 > K < \frac{{4\left( {T + 2} \right)}}{{T - 2}}\)
C.	\(0 < K < \frac{{T + 2}}{{T - 2}}\;\)
D.	\(0 < T < \frac{{8\left( {k + 1} \right)}}{{k - 1}}\)
Answer» D. \(0 < T < \frac{{8\left( {k + 1} \right)}}{{k - 1}}\)

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

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