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

Practice Questions

Q1
What is the steady-state error for a unit step input in a type 1 system?
  1. Zero
  2. Infinity
  3. Constant
  4. Proportional to input

Questions & Step-by-Step Solutions

What is the steady-state error for a unit step input in a type 1 system?
  • Step 1: Understand what a type 1 system is. A type 1 system has one integrator in its open-loop transfer function.
  • Step 2: Know what a unit step input is. A unit step input is a signal that changes from 0 to 1 at time t=0 and stays at 1.
  • Step 3: Learn about steady-state error. Steady-state error is the difference between the desired output and the actual output as time approaches infinity.
  • Step 4: For a type 1 system, when a unit step input is applied, the system can track the input perfectly in steady state.
  • Step 5: Therefore, the steady-state error for a unit step input in a type 1 system is zero.
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