A specific closed-loop control system is to be designed for an underdamped response to a step...
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A specific closed-loop control system is to be designed for an underdamped response to a step input. The specifications for the system are as follows: %OS 5% T<2s T, < 1.5 s a. (5 marks) Identify the desired area for the dominant roots of the system. b. (2 marks) Determine the smallest value of the third pole r, if the complex conjugate poles are to represent the dominant response. c. (8 marks) The closed-loop system transfer function 7'(s) is third order, and the feedback has unity feedback gain. Determine the loop/forward path transfer function when the settling time is 7,= 2 s and the percent overshoot is %OS = 5%. = A specific closed-loop control system is to be designed for an underdamped response to a step input. The specifications for the system are as follows: %OS 5% T<2s T, < 1.5 s a. (5 marks) Identify the desired area for the dominant roots of the system. b. (2 marks) Determine the smallest value of the third pole r, if the complex conjugate poles are to represent the dominant response. c. (8 marks) The closed-loop system transfer function 7'(s) is third order, and the feedback has unity feedback gain. Determine the loop/forward path transfer function when the settling time is 7,= 2 s and the percent overshoot is %OS = 5%. =
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