Z-transfer function of a digital control system is given by z² - 3z- - 4 (z – K)(2z² – 2z + 1) G(z) where the parameter K is a positive constant. Find all the zeros and poles of the system. Then, determine the range of the parameter K such that the system is stable.
Z-transfer function of a digital control system is given by z² - 3z- - 4 (z – K)(2z² – 2z + 1) G(z) where the parameter K is a positive constant. Find all the zeros and poles of the system. Then, determine the range of the parameter K such that the system is stable.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![Z-transfer function of a digital control system is given by
z² - 3z - 4
(z - K) (2z² – 2z+1)
G(z)
=
where the parameter K is a positive constant. Find all the zeros and poles of the
system. Then, determine the range of the parameter K such that the system is
stable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3282ba79-a9c9-46a8-bec3-8ed571f7ba5b%2F18d21045-7bc7-48a0-96fe-37b27979b5ec%2Fgccuzv_processed.png&w=3840&q=75)
Transcribed Image Text:Z-transfer function of a digital control system is given by
z² - 3z - 4
(z - K) (2z² – 2z+1)
G(z)
=
where the parameter K is a positive constant. Find all the zeros and poles of the
system. Then, determine the range of the parameter K such that the system is
stable.
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