For the unity feedback system of Figure P9.1 with Gs K ss
Chapter 9, Problem 15(choose chapter or problem)
For the unity feedback system of Figure P9.1 with
G(s) = \(\frac{K}{s(s+1)\left(s^2+10 s+26\right)}\)
do the following: [Section: 9.3]
a. Find the settling time for the system if it is operating with 15% overshoot.
b. Find the zero of a compensator and the gain, K, so that the settling time is 7 seconds. Assume that the pole of the compensator is located at -15.
c. Use MATLAB or any other computer program to simulate the system's step response to test the compensator.
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