Problem 2- The pulse transfer function of a digital system is shown in the following form: X(s) Y(s), Gp(s) Gp(2) = K(z-0.2) z' +0.9z? – 0.9z T = 1 A) By considering K = 1, obtain the stability of the system by the Jury method. B) Obtain the stability of the system according to the changes of K by drawing the root-locus of the system (there is no need to determine the exact break-point). What is the range of stability of the system? C) Obtain system stability with respect to K changes by Jury method. Compare the result with section B.

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Problem 2- The pulse transfer function of a digital system is shown in
the following form:
X(s)
Y(s)
Gp(s)
K(z- 0.2)
G,(2 :
«T = 1*
z' +0.9z? – 0.9z
1, obtain the stability of the system by the Jury
A) By considering K =
method.
B) Obtain the stability of the system according to the changes of K by
drawing the root-locus of the system (there is no need to determine the
exact break-point). What is the range of stability of the system?
C) Obtain system stability with respect to K changes by Jury method.
Compare the result with section B.
Transcribed Image Text:Problem 2- The pulse transfer function of a digital system is shown in the following form: X(s) Y(s) Gp(s) K(z- 0.2) G,(2 : «T = 1* z' +0.9z? – 0.9z 1, obtain the stability of the system by the Jury A) By considering K = method. B) Obtain the stability of the system according to the changes of K by drawing the root-locus of the system (there is no need to determine the exact break-point). What is the range of stability of the system? C) Obtain system stability with respect to K changes by Jury method. Compare the result with section B.
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