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Solved: Consider the unity feedback system shown in Figure
Chapter 9, Problem 9(choose chapter or problem)
Consider the unity feedback system shown in Figure P9.1 with [Section: 9.3]
G(s) = \(\frac{K}{(s+5)^3}\)
a. Find the location of the dominant poles to yield a 1.2 second settling time and an overshoot of 15%.
b. If a compensator with a zero at -1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be?
c. Find the location of the compensator pole.
d. Find the gain required to meet the requirements stated in Part a.
e. Find the location of other closed-loop poles for the compensated system.
f. Discuss the validity of your second-order approximation.
g. Use MATLAB or any other computer program to simulate the compensated system to check your design.
Questions & Answers
QUESTION:
Consider the unity feedback system shown in Figure P9.1 with [Section: 9.3]
G(s) = \(\frac{K}{(s+5)^3}\)
a. Find the location of the dominant poles to yield a 1.2 second settling time and an overshoot of 15%.
b. If a compensator with a zero at -1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be?
c. Find the location of the compensator pole.
d. Find the gain required to meet the requirements stated in Part a.
e. Find the location of other closed-loop poles for the compensated system.
f. Discuss the validity of your second-order approximation.
g. Use MATLAB or any other computer program to simulate the compensated system to check your design.
ANSWER:Step 1 of 8
A control system is a combination of elements arranged in a planned manner wherein each element causes an effect to produce a desired output. Control characteristics of the system depend upon the output of the system in case of closed loop system.