To analyze the stability of a linear time-invariant system.
To design PID controllers.
To plot Bode diagrams.
Questions & Step-by-Step Solutions
What is the Routh-Hurwitz criterion used for?
Step 1: Understand that the Routh-Hurwitz criterion is a method used in control theory.
Step 2: Know that it helps to determine if a system is stable or not.
Step 3: Recognize that stability is related to how a system responds over time, especially if it returns to equilibrium after a disturbance.
Step 4: Identify that the criterion analyzes the characteristic polynomial of the system.
Step 5: Learn that the characteristic polynomial is a mathematical expression that describes the system's behavior.
Step 6: Realize that by applying the Routh-Hurwitz criterion, you can find out if all the roots of the polynomial have negative real parts, which indicates stability.
