The unity negative feedback system in Figure AP5 9 has the process given by G(s) 1 s(s 15)(s 25) The controller is a proportional plus integral controller with gains Kp and KI The objective is to design the controller gains such that the dominant roots have a damping ratio Icirc para equal to 0 707 Determine the resulting peak time and settling time (with a 2 criterion) of the system to a unit step input Figure AP5 9 Feedback control system with a proportional plus integral controller Controller Plant Els) K,

Question: The unity negative feedback system in Figure AP5.9 has the process given by G(s) = 1 / s(s + 15)(s + 25). The controller is

The unity negative feedback system in Figure AP5.9 has the process given by
G(s) = 1 / s(s + 15)(s + 25).
The controller is a proportional plus integral controller with gains Kp and KI. The objective is to design the controller gains such that the dominant roots have a damping ratio Î¶ equal to 0.707. Determine the resulting peak time and settling time (with a 2% criterion) of the system to a unit step input.
Figure AP5.9
Feedback control system with a proportional plus integral controller.

Controller Plant +Els) K,

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