Topic: Control Systems
The general form of a Lead compensator or Lag compensator in Laplace domain is :
- A. $K(1+sT_{1})(1+sT_{2})$
- B. $K(1+(1/sT_{1}))(1+sT_{2})$
- C. $K(1+sT_{1})/(1+sT_{2})$
- D. $K(1+sT_{2})/(1+(1/sT_{1}))$
Answer: C. $K(1+sT_{1})/(1+sT_{2})$
Explanation: The standard transfer function for both phase-lead and phase-lag compensators is expressed as $G_c(s) = K \frac{1 + sT_1}{1 + sT_2}$. If $T_1 > T_2$, it acts as a lead compensator, and if $T_1 < T_2$, it acts as a lag compensator.