What is Root Locus?
Root Locus is a method to find the roots of characteristic equations of the transfer function and to plot these roots in the graph for all the different parametric values. The roots are found for changing the different values of parameters and then plotted in the graph. Mostly these parametric values are the gain of the open loop transfer function but we can use any other variable also. We find the roots by varying the gain from 0 to infinite of the open loop transfer function.
The root locus is the graphical method of plotting the locus of roots in the s – s-plane for characteristic equation by the varying gain (k) from 0 to infinite. Through root locus, we can find the stability of the system.
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