Steady state error solved problems

1. How do you calculate steady-state error with step input?
2. How do you calculate steady-state value?
3. What is steady-state error?

How do you calculate steady-state error with step input?

We consider the feedback control system (Figure 4.3. 1) with input r(s) and output y(s). The steady-state error to a step reference input, (r(s)=1s), is given as: e(∞)=11+KG(0). The steady-state error to a ramp reference input, (r(s)=1s2), is given as: e(∞)=1sKG(s)|s=0.

How do you calculate steady-state value?

The steady state value is also called the final value. The Final Value Theorem lets you calculate this steady state value quite easily: limt→∞y(t)=limz→0z∗Y(z), where y(t) is in the time domain and Y(z) is in the frequency domain. So if your transfer function is H(z)=Y(z)X(z)=.

What is steady-state error?

A steady-state error is defined as the difference between the desired value and the actual value of a system when the response has reached the steady state. We can calculate the steady-state error of the system using the final value theorem.