Topic: Control Systems
The transfer function $(\frac{1+0.5s}{1+s})$ represents a
- A. lag network
- B. lead network
- C. lag-lead network
- D. proportional controller
Answer: A. lag network
Explanation: Comparing the given transfer function with the standard transfer function of a compensator $T(s) = \frac{\alpha(1+\tau s)}{1+\alpha\tau s}$, we have $\tau = 0.5$ and $\alpha\tau = 1$, which gives $\alpha = 2$. Since $\alpha > 1$, the given compensator is a lag network.