Frequency

Influence of a RHP zero/pole in the frequency response

Influence of a RHP zero/pole in the frequency response
  1. How do poles and zeros affect frequency response?
  2. What is the most noticeable effect of a zero in the RHP on the step response of the second order system?
  3. How do poles affect frequency response?
  4. What is the effect of zeros in transient response?

How do poles and zeros affect frequency response?

A pole frequency corresponds to a corner frequency at which the slope of the magnitude curve decreases by 20 dB/decade, and a zero corresponds to a corner frequency at which the slope increases by 20 dB/decade.

What is the most noticeable effect of a zero in the RHP on the step response of the second order system?

Adding a RHP zero to the transfer function makes the step response slower, and can make the response undershoot.

How do poles affect frequency response?

When the poles are close to the unit circle, the frequency response has peaks at ±0.2π. 4. The closer the poles are to the unit circle, the sharper the peak is. Poles at the origin (z = 0) have no effect on |Hf (ω)|.

What is the effect of zeros in transient response?

Explanation: The effect of zero on transient response will be negligible if the zero moves left from the origin as the zero which is nearer to the origin is more dominant.

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