In root locus analysis, what does the location of poles indicate?
Practice Questions
Q1
In root locus analysis, what does the location of poles indicate?
The system's output.
The stability of the system.
The input signal.
The transfer function.
Questions & Step-by-Step Solutions
In root locus analysis, what does the location of poles indicate?
Step 1: Understand what poles are. Poles are specific values in a system's transfer function that affect its behavior.
Step 2: Learn about the complex plane. The complex plane is a way to visualize poles, where the horizontal axis is the real part and the vertical axis is the imaginary part.
Step 3: Identify the left half-plane. The left half-plane is the part of the complex plane where the real part of the poles is negative.
Step 4: Recognize the significance of pole location. If poles are in the left half-plane, the system is stable, meaning it will return to equilibrium after a disturbance.
Step 5: Understand instability. If poles are in the right half-plane (positive real part), the system is unstable, meaning it will diverge away from equilibrium.
Step 6: Conclude that the location of poles directly indicates whether a system is stable or unstable based on their position in the complex plane.
