The transfer function of a phase lead compensator is given by (frac{1+a mathrm{Ts}}{1+mathrm{Ts}}) where (a>1) and (mathrm{T}>0).
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The transfer function of a phase lead compensator is given by \(\frac{1+a \mathrm{Ts}}{1+\mathrm{Ts}}\) where \(a>1\) and \(\mathrm{T}>0\). The maximum phase shift provided by such a compensator is
(a) \(\tan ^{-1}\left(\frac{a+1}{a-1}ight)\)
(b) \(\tan ^{-1}\left(\frac{a-1}{a+1}ight)\)
(c) \(\sin ^{-1}\left(\frac{a+1}{a-1}ight)\)
(d) \(\sin ^{-1}\left(\frac{a-1}{a+1}ight)\)
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