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

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SUMMARY

The discussion centers on the impact of integral control on transient response and root locus plots in control systems. The user implements integral control using the formula Kp (1/(Ti*s)), where Ti is derived from the Ziegler-Nichols (Z-N) first method. They observe that while the transient response changes with varying Ti, the root locus plot remains unaffected. Additionally, the presence of a zero at the origin complicates achieving desired settling time due to the closed-loop (CL) pole at the origin.

PREREQUISITES
  • Understanding of control systems and stability analysis
  • Familiarity with root locus techniques
  • Knowledge of integral control and its implementation
  • Proficiency in Ziegler-Nichols tuning methods
NEXT STEPS
  • Study the effects of integral control on transient response in control systems
  • Explore advanced root locus techniques for systems with zeros at the origin
  • Learn about the Ziegler-Nichols tuning method in detail
  • Investigate methods to achieve desired settling times in the presence of CL poles
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Control engineers, systems analysts, and students studying control theory who are looking to deepen their understanding of integral control effects on system dynamics.

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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