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

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

Options:

Correct Answer: Finite

Solution:

A type 1 system has a finite steady-state error for a step input due to the presence of an integrator.

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

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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