In root locus analysis, what does the root locus plot indicate?
Practice Questions
Q1
In root locus analysis, what does the root locus plot indicate?
The stability of the system as gain varies.
The time response of the system.
The transfer function of the system.
The frequency response of the system.
Questions & Step-by-Step Solutions
In root locus analysis, what does the root locus plot indicate?
Step 1: Understand that a system can be represented by its poles, which are points in the complex plane.
Step 2: Know that the root locus plot shows how these poles change their positions when the gain of the system is varied.
Step 3: Realize that the position of the poles determines the stability of the system; if poles are in the left half of the complex plane, the system is stable.
Step 4: Observe the root locus plot to see the paths that the poles take as the gain increases or decreases.
Step 5: Conclude that by analyzing the root locus, you can determine how the stability of the system changes with different gain values.
