The steady-state error is: A. independent of the type of input B. a function of the transient response C. zero for all inputs to type 1 systems D. decreased by increasing gain. E. None of the above

The correct answer is: B. a function of the transient response.

The steady-state error is the difference between the system’s output and the desired output when the system has reached steady state. The transient response is the system’s response to a step input. The steady-state error is a function of the transient response because the transient response determines how quickly the system reaches steady state.

Option A is incorrect because the steady-state error is dependent on the type of input. For example, the steady-state error for a step input is different from the steady-state error for a ramp input.

Option C is incorrect because the steady-state error is not zero for all inputs to type 1 systems. For example, the steady-state error for a step input to a type 1 system is not zero.

Option D is incorrect because the steady-state error is not decreased by increasing gain. For example, the steady-state error for a step input to a type 1 system is not decreased by increasing gain.

Option E is incorrect because the steady-state error is a function of the transient response.