Problem 2: 2. Given the following closed-loop system with G(z) %3D z2-0.62-0.4 and the sampling time is 0.1 sec The controller is a proportional controller, i.e. D(z)- K. Controller Find the range of K so that the close- loop system stable. Plant Input Output Input Ge) Oufput

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Problem 2:
Given the following closed-loop system with G(z) =
7.
and the sampling time is 0.1 sec.
The controller is a proportional controller, i.e. D(z)- K.
Find the range of K so that the close-
Controller
Plant
loop system stable.
indu
ndin
2)
Input
Output
(2) )
(2)5
= (2)5
Z?-0.67-0.4
t%3D0./sec.
%3D
Z²-0.67-D.4
Z²-0.67-0.4.
to
ズ-0.62-0.4
え-0.6x-0:4
2のレエー.ズ-0.62-0.4+2K
z²-0.6z-0.4+2:K=0
Transcribed Image Text:Problem 2: Given the following closed-loop system with G(z) = 7. and the sampling time is 0.1 sec. The controller is a proportional controller, i.e. D(z)- K. Find the range of K so that the close- Controller Plant loop system stable. indu ndin 2) Input Output (2) ) (2)5 = (2)5 Z?-0.67-0.4 t%3D0./sec. %3D Z²-0.67-D.4 Z²-0.67-0.4. to ズ-0.62-0.4 え-0.6x-0:4 2のレエー.ズ-0.62-0.4+2K z²-0.6z-0.4+2:K=0
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