Question

The type denotes the number of:

• A. Poles of infinity
• B. Poles of origin
• C. Zeros of infinity
• D. Zeros of origin

Hint:

\textbf{System type = Number of poles at origin.} Count how many times $s = 0$ appears in the denominator of $G(s)H(s)$ to determine the type.

Answer 1

The Correct Option is B

In control systems, the type of a system refers to the number of integrators in the open-loop transfer function $G(s)H(s)$.
Mathematically, this corresponds to the number of poles at the origin in the $s$-domain.
In other words, the system type is defined as the number of times $s = 0$ appears as a pole in the open-loop transfer function.
For example, if $G(s)H(s) = \dfrac{K}{s^2(s+3)}$, there are two poles at the origin, so the system is of Type 2.
This classification helps determine the system's steady-state error performance for different input signals (step, ramp, parabolic).
Thus, the correct answer is: Poles of origin.