What does the transfer function of a system represent?

Practice Questions

Q1
What does the transfer function of a system represent?
  1. The relationship between input and output in the time domain.
  2. The relationship between input and output in the frequency domain.
  3. The stability of the system.
  4. The type of controller used.

Questions & Step-by-Step Solutions

What does the transfer function of a system represent?
  • Step 1: Understand that a system takes an input and produces an output.
  • Step 2: The transfer function is a mathematical tool used to describe how the output responds to the input.
  • Step 3: It focuses on the frequency domain, which means it looks at how the system behaves at different frequencies of input signals.
  • Step 4: The transfer function is usually written as a ratio of two polynomials, where the numerator represents the output and the denominator represents the input.
  • Step 5: By analyzing the transfer function, you can predict how the system will react to various inputs.
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