Problem 2: The following is the open-loop transfer function for a unity- feedback discrete system with a sample period of T = 0.01s. Sketch the root-locus for this system. Be sure to also find the closed-loop transfer function and the range of K for stability using the Routh-Hurwitz criterion. Hint: The root locus will be sketched in the z-domain, but the system must be converted into the w-domain to use the Routh-Hurwitz criterion. K(z+0.8) (z – 1)(z – 0.6) G(2) =

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Problem 2:
The following is the open-loop transfer function for a unity-
feedback discrete system with a sample period of T = 0.01s. Sketch the root-locus for this
system. Be sure to also find the closed-loop transfer function and the range of K for stability
using the Routh-Hurwitz criterion.
Hint: The root locus will be sketched in the z-domain, but the system must be converted
into the w-domain to use the Routh-Hurwitz criterion.
K(z+0.8)
(z – 1)(z – 0.6)
G(2) =
Transcribed Image Text:Problem 2: The following is the open-loop transfer function for a unity- feedback discrete system with a sample period of T = 0.01s. Sketch the root-locus for this system. Be sure to also find the closed-loop transfer function and the range of K for stability using the Routh-Hurwitz criterion. Hint: The root locus will be sketched in the z-domain, but the system must be converted into the w-domain to use the Routh-Hurwitz criterion. K(z+0.8) (z – 1)(z – 0.6) G(2) =
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