Effect of adding pole and zero to a system pdf

1. What is the effect of adding poles and adding zeros to a system?
2. What are the effect of adding a zero to a system?
3. How do poles and zeros affect phase?
4. What are the effects of the addition of pole and zero on time domain response specification?

What is the effect of adding poles and adding zeros to a system?

Addition of poles to the transfer function has the effect of pulling the root locus to the right, making the system less stable. Addition of zeros to the transfer function has the effect of pulling the root locus to the left, making the system more stable.

What are the effect of adding a zero to a system?

2. Addition of zero increases the stability. Explanation: Zero is defined as the root of the numerator of the transfer function and addition of zeroes increases the stability as the speed of response increases.

How do poles and zeros affect phase?

So zeros contribute 0 to 90 degrees to phase and poles contribute 0 to -90 degrees. If a zero were in the right half plane, it would contribute 180 to 90 degrees of phase, which is certainly more than a zero in the left half plane.

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.