The open loop transfer function of an unity feedback open loop system is 2s2-6s-5s-12s-2- The characteristic equation of the closed loop system is

2s^2+6s+5+ nbsp; (s+1)^2 (s+2) = 0 Characteristic equation 1+GH=0 1+ 2s^2+6s+5(s+1)^2(s+2) = 0 2s^2+6s+5+ nbsp; (s+1)^2 (s+2) = 0 ...

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Control Systems

Introduction to Stability

The open loop...

Question

The open loop transfer function of an unity feedback open loop system is $\frac{2 s^{2} + 6 s + 5}{(s + 1)^{2} (s + 2)}$ . The characteristic equation of the closed loop system is

2 s^{2} + 6 s + 5 = 0

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(s + 1)^{2} (s + 2) = 0

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2 s^{2} + 6 s + 5 + (s + 1)^{2} (s + 2) = 0

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2 s^{2} + 6 s + 5 - (s + 1^{2}) (s + 2) = 0

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Solution

The correct option is C $2 s^{2} + 6 s + 5 + (s + 1)^{2} (s + 2) = 0$
$2 s^{2} + 6 s + 5 + (s + 1)^{2} (s + 2) = 0$

Characteristic equation
$1 + G H = 0$

$1 + \frac{2 s^{2} + 6 s + 5}{(s + 1)^{2} (s + 2)} = 0$

$2 s^{2} + 6 s + 5 + (s + 1)^{2} (s + 2) = 0$

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The open loop transfer function of an unity feedback open loop system is 2s2+6s+5(s+1)2(s+2). The characteristic equation of the closed loop system is

The correct option is C 2s2+6s+5+(s+1)2(s+2)=02s2+6s+5+(s+1)2(s+2)=0 Characteristic equation 1+GH=0 1+2s2+6s+5(s+1)2(s+2)=0 2s2+6s+5+(s+1)2(s+2)=0

The open loop transfer function of an unity feedback open loop system is $\frac{2 s^{2} + 6 s + 5}{(s + 1)^{2} (s + 2)}$ . The characteristic equation of the closed loop system is

The correct option is C $2 s^{2} + 6 s + 5 + (s + 1)^{2} (s + 2) = 0$
$2 s^{2} + 6 s + 5 + (s + 1)^{2} (s + 2) = 0$

Characteristic equation
$1 + G H = 0$

$1 + \frac{2 s^{2} + 6 s + 5}{(s + 1)^{2} (s + 2)} = 0$

$2 s^{2} + 6 s + 5 + (s + 1)^{2} (s + 2) = 0$