Solution Found!
For the unity feedback system of Figure P9.1, with Gs K s2
Chapter 9, Problem 17(choose chapter or problem)
For the unity feedback system of Figure P9.1, with
G(s) = \(\frac{K}{\left(s^2+20 s+101\right)(s+20)}\)
the damping ratio for the dominant poles is to be 0.4, and the settling time is to be 0.5 second. [Section: 9.3]
a. Find the coordinates of the dominant poles.
b. Find the location of the compensator zero if the compensator pole is at -15.
c. Find the required system gain.
d. Compare the performance of the uncompensated and compensated systems.
e. Use MATLAB or any other computer program to simulate the system to check your design. Redesign if necessary.
Questions & Answers
QUESTION:
For the unity feedback system of Figure P9.1, with
G(s) = \(\frac{K}{\left(s^2+20 s+101\right)(s+20)}\)
the damping ratio for the dominant poles is to be 0.4, and the settling time is to be 0.5 second. [Section: 9.3]
a. Find the coordinates of the dominant poles.
b. Find the location of the compensator zero if the compensator pole is at -15.
c. Find the required system gain.
d. Compare the performance of the uncompensated and compensated systems.
e. Use MATLAB or any other computer program to simulate the system to check your design. Redesign if necessary.
ANSWER:Step 1 of 5
a.
Settling time
Therefore the compensated closed-loop poles are located at 