ermine the critical value of gain K for stability. Assume that the sampling period is 0.1 se ain K will yield a damping ratio of the closed loop poles equal to 0.5. R(2) X(z + 1) 1)(z- 0 6065) C(z)

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Consider the digital control system shown below. Plot the root loci as the gain K is varied from 0 to infinity.
Determine the critical value of gain K. for stability. Assume that the sampling period is 0.1 sec. What value
of gain K will yield a damping ratio of the closed loop poles equal to 0.5.
R(2)
K(z + 1)
(2-1)(z- 0 6065)
C{z}
Transcribed Image Text:Consider the digital control system shown below. Plot the root loci as the gain K is varied from 0 to infinity. Determine the critical value of gain K. for stability. Assume that the sampling period is 0.1 sec. What value of gain K will yield a damping ratio of the closed loop poles equal to 0.5. R(2) K(z + 1) (2-1)(z- 0 6065) C{z}
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