Howtosignalprocessing
- Do zeros affect settling time?
- How does a zero affect step response?
- What do zeros do in transfer function?
- What are the effects of the addition of pole and zero on time domain response specification?
Do zeros affect settling time?
LHP Zeros: Increase overshoot, decrease rise time, and have no effect on settling time. The effects are small if the zero is far in the LHP. RHP Zeros: Cause undershoot but no effect on settling time.
How does a zero affect step response?
Adding a LHP zero to the transfer function makes the step response faster (decreases the rise time and the peak time) and increases the overshoot. Adding a RHP zero to the transfer function makes the step response slower, and can make the response undershoot.
What do zeros do in transfer function?
Poles and Zeros of a transfer function are the frequencies for which the value of the denominator and numerator of transfer function becomes zero respectively. The values of the poles and the zeros of a system determine whether the system is stable, and how well the system performs.
What are the effects of the addition of pole and zero on time domain response specification?
The effect of adding poles and zeros can be determined quickly by bode plot. Effect of addition of pole to closed loop transfer function: As the pole moves towards the origin in s plane, the rise time increases and the maximum overshoot decreases. The addition of left half pole tends to slow down the system response.
