Effect of Addition of Open Loop Poles and Zero - Root Locus Technique - Control Systems

TL;DR

Adding poles shifts root locus right, adding zeros shifts it left, affecting system stability.

Transcript

hello friends in this video we are going to discuss that what will be the effect of addition of open loop poles and zeros on the location of the root locus for a system so let's start with the topic so first let's see that what will be the effect of addition of open loop poles on the location of the root locus so to see the effect first we will tak... Read More

Key Insights

• 🤗 Adding open-loop poles shifts the root locus to the right, decreasing system stability.
• 🤗 The addition of open-loop zeros shifts the root locus to the left, improving system stability.
• 🗯️ The number of poles and zeros on the right side determines the direction of the root locus.
• 🫚 Root locus branches diverge when the system includes both poles and zeros.
• 🫲 System stability increases as the root locus shifts towards the left-hand side of the s-plane.
• 🫚 Understanding the impact of poles and zeros on the root locus is crucial for analyzing system behavior.
• 🛩️ The stability of a system is closely related to the location of the root locus in the s-plane.

Questions & Answers

Q: How does adding open-loop poles affect the root locus?

Adding open-loop poles shifts the root locus towards the right, indicating decreased system stability. It causes the branches to diverge, impacting system performance.

Q: What is the effect of adding open-loop zeros on the root locus?

Adding open-loop zeros shifts the root locus towards the left, signifying improved system stability. The system becomes more stable as the root locus moves towards the left-hand side of the s-plane.

Q: How do the number of poles on the right side affect the direction of the root locus?

The number of poles on the right side determines the direction of the root locus. An odd number of poles shifts the root locus towards infinity, while an even number shifts it towards the origin.

Q: How does the addition of poles and zeros impact the overall system behavior?

Adding poles decreases system stability by shifting the root locus to the right, while adding zeros increases system stability by shifting it to the left. The interplay of poles and zeros affects the system's performance and behavior.

Summary & Key Takeaways

• Adding poles in the open-loop transfer function shifts root locus towards the right, indicating decreased system stability.

• Adding zeros in the open-loop transfer function shifts root locus towards the left, indicating improved system stability.

• Root locus branches diverge when poles and zeros are added, affecting the overall system behavior.