What does a transfer function with poles in the right half of the s-plane indica
Practice Questions
Q1
What does a transfer function with poles in the right half of the s-plane indicate?
The system is stable.
The system is marginally stable.
The system is unstable.
The system is critically damped.
Questions & Step-by-Step Solutions
What does a transfer function with poles in the right half of the s-plane indicate?
Step 1: Understand what a transfer function is. It is a mathematical representation of a system's output in relation to its input.
Step 2: Learn about the s-plane. The s-plane is a complex plane used in control theory where the horizontal axis represents the real part (sigma) and the vertical axis represents the imaginary part (jω).
Step 3: Identify what poles are. Poles are specific values in the s-plane where the transfer function becomes infinite, indicating system behavior.
Step 4: Recognize the significance of pole locations. Poles can be located in the left half or right half of the s-plane.
Step 5: Focus on poles in the right half of the s-plane. These poles indicate that the system will respond with exponential growth over time.
Step 6: Conclude that if a system has poles in the right half of the s-plane, it is unstable, meaning it will not return to a steady state after a disturbance.
