The transfer function of phase lead compensator is given by:
\(G\left( s \right)=\frac{\left( 1+\alpha Ts \right)}{\left( Ts+1 \right)}\)
Find the maximum phase shift provided by the compensator.
1
\({{\tan }^{-1}}\left( \frac{\alpha +1}{\alpha -1} \right)\)
2
\({{\tan }^{-1}}\left( \frac{\alpha +1}{2\sqrt{\alpha }} \right)\)
3
\({{\cos }^{-1}}\left( \frac{\alpha -1}{\alpha +1} \right)\)
4
\({{\sin }^{-1}}\left( \frac{\alpha -1}{\alpha +1} \right)\)