What is the steady-state error for a type 1 system with a step input?

Practice Questions

Q1
What is the steady-state error for a type 1 system with a step input?
  1. Zero
  2. Finite
  3. Infinite
  4. Depends on gain

Questions & Step-by-Step Solutions

What is the steady-state error for a type 1 system with a step input?
  • Step 1: Understand what a type 1 system is. A type 1 system has one integrator in its transfer function.
  • Step 2: Know what a steady-state error is. It is the difference between the desired output and the actual output as time goes to infinity.
  • Step 3: Recognize that a step input is a sudden change in input, like turning on a light switch.
  • Step 4: For a type 1 system with a step input, the system will respond and eventually settle at a certain value.
  • Step 5: Since there is one integrator in the system, it can reduce the steady-state error but not eliminate it completely.
  • Step 6: Therefore, a type 1 system will have a finite steady-state error for a step input.
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