help me pleasse Using Jury stability test to determine the stability of the syst

Question

help me pleasse

Using Jury stability test to determine the stability of the system: Y(z) / X(z) = z-3 / 1+01z-1 - 1.42z-2 + 0.56z-3 Consider the digital control system shown in Fig. 1. Fig. 1. A digital control system What are the poles and the zeros of G (z)? Use the first 7 steps of the "General procedure for constructing root loci" to draw the root loci of G(z). (Show all your calculations and derivations) Use step 8 of the General procedure to determine the critical gain Kc For Problem 3, determine critical gain Kc using Jury stability test.

Explanation / Answer

1.

poles are (z-1)(z - 0.8187) = 0

or

z = 1, 0.8187

zeros are

(z + 0.9355) = 0

or

z = -0.9355

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