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The transfer function of a digital control system is given by G(z) = z² - 1 - (z = 0.5)(z+0.2 + 0.6j) (z + 0.2 − 0.6j) - where j is the imaginary unit. Find poles and zeros of the system. Then, determine the stability of the digital system.

The transfer function of a digital control system is given by G(z) = z² - 1 - (z = 0.5)(z+0.2 + 0.6j) (z + 0.2 − 0.6j) - where j is the imaginary unit. Find poles and zeros of the system. Then, determine the stability of the digital system.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The transfer function of a digital control system is given by G(z) = z² - 1 - (z = 0.5)(z+0.2 + 0.6j) (z + 0.2 − 0.6j) - where j is the imaginary unit. Find poles and zeros of the system. Then, determine the stability of the digital system.
Transcribed Image Text:The transfer function of a digital control system is given by G(z) = z² - 1 - (z = 0.5)(z+0.2 + 0.6j) (z + 0.2 − 0.6j) - where j is the imaginary unit. Find poles and zeros of the system. Then, determine the stability of the digital system.
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