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 ζ 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.

Transcribed Image Text:

Controller Plant +Els) K,