Why Does Integral Control Affect Transient Response But Not Root Locus Plot?

AI Thread Summary
Integral control introduces a pole at the origin, which affects the transient response but does not alter the root locus plot significantly. The root locus remains unchanged with variations in the integral time constant (Ti), while the transient response improves with integral control, leading to zero steady-state error. The presence of a zero at the origin complicates achieving desired settling times due to the closed-loop pole also being at the origin. Clarification is needed on terms like Ti and the Ziegler-Nichols (Z-N) first method for better understanding. Overall, balancing integral control with settling time requirements remains a challenge when a zero exists at the origin.
susmatt
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I have a zero at the origin of my root locus plot. I understand that I need integral control to have zero steady-state error. I have 2 questions about this.

1. When I add integral control like this, Kp (1/(Ti*s)) where Ti is from Z-N first method and Kp=1, I get a pole at the origin. I don't don't see any change in the root locus plot by changing Ti, but I do see change in the transient response. Why is this?

2. When I add the integral control and there's a zero at the origin, I have a CL pole at the origin. This means I'm not able to achieve my settling time requirements. Is there a way to achieve both when there's a zero at the origin?
 
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Can you rewrite the question a bit more clearly, I am not sure what some of your terms are. For example, what is Ti? Also, what is Z-N first method?
 
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