Effects of adding Open Loop Poles and Zeros on Root Locus
By adding open loop Poles and Zeros the Root Locus can be shifted in s plane . Following are the effects of adding open loop poles and zeros .
- By adding open loop poles in transfer function , the root locus shift towards right side of s plane . Therefore the stability of system decreases .
- By adding open loop zeros in transfer function , the root locus shift towards left side of s plane . Therefore the system stability increases.
Therefore we can add zeros and poles in transfer function as per requirement .
To Find Stability of system from Root Locus
Following are the criteria to find stability of system from Root Locus
- If any branch of Root Locus is always in left hand side of s plane than system is stable.
- If any branch of Root Locus is always in right hand side of s plane than the system is always unstable.
- If any branch of Root Locus crosses imaginary axis than it is conditionally stable.
- If any branch of Root Locus is always on imaginary axis than system is marginally stable.
Stability Plane
Construction of Root Locus
The Root Locus is the Technique to identify the roots of Characteristics Equations Within a Transfer Function. It Follows the Process of Plotting the roots on a graph, Showcasing their Variations across Different Parametric Values. In this article, we will be going through What is Root Locus?, Angle and Magnitude Conditions, Construction Rules of Root Locus, and At last we will solve the Examples.
Table of Content
- What is Root Locus?
- Angle and Magnitude Condition
- Construction Rules of Root Locus
- Effects of adding Open Loop Poles and Zeros on Root Locus
- Solved Example
- Application
- FAQs on Root Locus in Control System