Value

Determining the final value of the output of a discrete system

Determining the final value of the output of a discrete system
  1. What is the final value of the given function by final value theorem?
  2. How do you find the final value of Z-transform?
  3. What is the final value theorem in control system?

What is the final value of the given function by final value theorem?

The final value theorem of Laplace transform enables us to find the final value of a functionx(t)[i.e.,x(∞)] directly from its Laplace transform X(s) without the need for finding the inverse Laplace transform of X(s).

How do you find the final value of Z-transform?

The final value theorem of Z-transform enables us to calculate the steady state value of a sequence x(n), i.e., x(∞) directly from its Z-transform, without the need for finding its inverse Z-transform. ⇒(z−1)X(z)−zx(0)=[x(1)−x(0)]z0+[x(2)−x(1)]z−1+[x(3)−x(2)]z−2+...

What is the 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).

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