The transfer function of a lag compensator typically has the form \(G_{lag}(s) = \frac{1 + Ts}{1 + \alpha Ts}\), where \(T > 0\) and \(\alpha > 1\). The transfer function of a lead compensator typically has the form \(G_{lead}(s) = \frac{1 + \beta T's}{1 + T's}\),
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