Final value theorem in control system

The Final Value Theorem (in Control): If all poles of sY(s) are strictly stable or lie in the open left half-plane (OLHP), i.e., have Re(s)<0, then y(∞)=lims→0sY(s).

1. What is final value theorem explain with an example?
2. How do you use final value theorem?
3. What is initial and final value theorem?
4. What is the most common use of final value theorem?

What is final value theorem explain with an example?

Final Value Theorem - determines the steady-state value of the system response without finding the inverse transform. Example 2: Find the final value of the transfer function X(s) above. f(t) = M. Let M = 1,F = 5, B = 4 and K= 5.

How do you use final value theorem?

Note − In order to apply the final value theorem of Laplace transform, we must cancel the common factors, if any, in the numerator and denominator of sX(s). If any poles of sX(s) after cancellation of the common factor lie in the right half of the s-plane, then the final value theorem does not hold.

What is initial and final value theorem?

Initial and Final value theorems are basic properties of Laplace transform. These theorems were given by French mathematician and physicist Pierre Simon Marquis De Laplace. Initial and Final value theorem are collectively called Limiting theorems.

What is the most common use of final value theorem?

The Final Value theorem is used to find the steady or transient state of a function.