Pole and Zero Calculator from Transfer Function
Expert Guide: How to Find Poles and Zeros from Transfer Function
Introduction & Importance
Poles and zeros are crucial in understanding the stability and behavior of control systems. They are found by analyzing the transfer function, which is a ratio of the output to the input of a system.
How to Use This Calculator
- Enter your transfer function in the ‘Transfer Function (s)’ field.
- Click ‘Calculate’.
- View the results below the calculator.
Formula & Methodology
The transfer function is given by G(s) = Numerator(s) / Denominator(s). Poles are the roots of the denominator, and zeros are the roots of the numerator.
Real-World Examples
Data & Statistics
| Transfer Function | Poles | Zeros |
|---|---|---|
| G1(s) = 2/(s+1) | -1 | None |
| G2(s) = 2s/(s+1) | -1 | 0 |
Expert Tips
- Poles and zeros can be complex. Use the calculator to find them.
- Understand the system’s behavior based on the pole-zero plot.
Interactive FAQ
What are poles and zeros?
Poles are the values of ‘s’ that make the transfer function infinite. Zeros are the values of ‘s’ that make the transfer function zero.
Why are poles and zeros important?
They help understand the stability and behavior of control systems.