Question
Download Solution PDFBy adding a pole at the origin of s-plane, the Nyquist plot of a system will rotate by
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFDue to adding a pole at s = 0, the angle of shifting in the Nyquist plot of the system will be a shift of 90° clockwise.
Due to adding a zero at s = 0, the angle of shifting in the Nyquist plot of the system will be a shift of 90° anti-clockwise.
The shapes of the Nyquist plot for different transfer functions are given below.
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Type/Order |
The shape of the Nyquist plot |
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Type 0, order 1 \(G\left( s \right)=\frac{1}{1+sT}\) |
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Type 0, order 2 \(G\left( s \right)=\frac{1}{\left( 1+Ts \right)\left( 1+{{T}_{2}}s \right)}\) |
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Type 1, order 1 \(G\left( s \right)=\frac{1}{s}\) |
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Type 1, order 2 \(G\left( s \right)=\frac{1}{s\left( 1+Ts \right)}\) |
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