P5 2 A specific closed loop control system is to be de signed for an underdamped response to a step input The specifications for the system are as follows 10 P O 20 , T s 0 6 s (a) Identify the desired area for the dominant roots of the system (b) Determine the smallest value of a third root r 3 if the complex conjugate roots are to represent the dominant response (c) The closed loop system transfer function T s ( ) is third order, and the feedback has a unity gain Determine the loop transfer function G s ( ) Y s ( ) E s ( ) when the settling time to within 2 of the final value is T s 0 6 s and the per cent overshoot is P O 20

Question

P5 2 A specific closed loop control system is to be de signed for an underdamped response to a step input  The specifications for the system are as follows  10      P O     20 , T s   0 6 s  (a) Identify the desired area for the dominant roots of the system  (b) Determine the smallest value of a third root r 3 if the complex conjugate roots are to represent the dominant response  (c) The closed loop system transfer function T s ( ) is third order, and the feedback has a unity gain  Determine the loop transfer function G s ( )     Y s ( ) E s ( ) when the settling time to within 2  of the final value is T s   0 6 s and the per cent overshoot is P O       20

SolutionInn · Accepted Answer

The Answer is in the image, click to view ...

Question: P5.2 A specific closed-loop control system is to be de signed for an underdamped response to a step input. The specifications for the system are

Step by Step Solution