AP5.9. The unity negative feedback system in Figure AP5.9 has the process given by 1 G(s) = s(s+15) (s+ 25) The controller is a proportional plus integral con- troller with gains K,, and K,. The objective is to design the controller gains such that the dominant roots have a damping ratio & equal to 0.707. Determine the result- ing peak time and settling time (with a 2% criterion) of the system to a unit step input.

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AP5.9. The unity negative feedback system in Figure
AP5.9 has the process given by
1
G(s)
s(s+15) (s+ 25)
The controller is a proportional plus integral con-
troller with gains K,, and K,. The objective is to design
the controller gains such that the dominant roots have
a damping ratio & equal to 0.707. Determine the result-
ing peak time and settling time (with a 2% criterion)
of the system to a unit step input.
Transcribed Image Text:AP5.9. The unity negative feedback system in Figure AP5.9 has the process given by 1 G(s) s(s+15) (s+ 25) The controller is a proportional plus integral con- troller with gains K,, and K,. The objective is to design the controller gains such that the dominant roots have a damping ratio & equal to 0.707. Determine the result- ing peak time and settling time (with a 2% criterion) of the system to a unit step input.
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