7 5 7 for the system of fig p7 5 7 t 2s and k z 0 8 g z z 1 z 0 6 a de

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Question

7.5-7. For the system of Fig. P7.5-7, T = 2s and
K(z+0.8)
G(z) =
(z- 1)(z -0.6)
(a) Determine the range of K for stability using the Routh-Hurwitz criterion.
(b) Determine the range of K for stability using the Jury test.
(c) Show that the upper limit of K for stability in part (a) yields a marginally stable system.
(d) Show that the upper limit of K for stability in part (b) yields a marginally stable system.
FIGURE P7.5-7 System for Problem 7.5-7.
G(8)
T