Given figure shows a closed loop unity feedback system. The controller block has transfer function denoted by $G_{c} (s)$ . The controller is cacaded to plant, which is denoted by $G_{p} (s)$

The loop transfer function $G_{c} (s)$ is

\frac{1 + 0.1 s}{s}

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- \frac{1 + 0.1 s}{s}

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- \frac{s}{s + 1}

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\frac{s}{s + 1}

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Solution

The correct option is A $\frac{1 + 0.1 s}{s}$
The controller block is
$Z_{f} = 10^{5} + \frac{1}{10^{- 6} s}$

$G_{c} (s) = \frac{- (10^{5} + \frac{1}{10^{- 6} s})}{10^{6}}$

$\frac{1}{10} + \frac{1}{s} = \frac{s + 10}{10 s} = \frac{0.1 s + 1}{s}$

$∴ G_{c} (s) = \frac{0.1 s + 1}{s}$

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Given figure shows a closed loop unity feedback system. The controller block has transfer function denoted by Gc(s). The controller is cacaded to plant, which is denoted by Gp(s) The loop transfer function Gc(s) is

The correct option is A 1+0.1ssThe controller block is Zf=105+110−6s Gc(s)=−(105+110−6s)106 110+1s=s+1010s=0.1s+1s ∴Gc(s)=0.1s+1s

Given figure shows a closed loop unity feedback system. The controller block has transfer function denoted by $G_{c} (s)$ . The controller is cacaded to plant, which is denoted by $G_{p} (s)$

The loop transfer function $G_{c} (s)$ is

The correct option is A $\frac{1 + 0.1 s}{s}$
The controller block is
$Z_{f} = 10^{5} + \frac{1}{10^{- 6} s}$

$G_{c} (s) = \frac{- (10^{5} + \frac{1}{10^{- 6} s})}{10^{6}}$

$\frac{1}{10} + \frac{1}{s} = \frac{s + 10}{10 s} = \frac{0.1 s + 1}{s}$

$∴ G_{c} (s) = \frac{0.1 s + 1}{s}$