11.25. Sketch the root loci for K >0 and K < 0 for each of the following: (a) G(z)H(z) = Z-1 z2. (b) G(z)H(z) z2 . (c) G(z)H(z) z'(1+z=1) (d) G(z)H(z) = z-1 – z-2 (e) G(z)H(z) is the system function of the causal LTI system described by the difference equation z_2 - 1_2 y[n] – 2y[n – 1] = x[n – 1] – x[n – 2]. -

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.19P
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Help With Part E please. For what values of K is the system stable?

11.25. Sketch the root loci for K >0 and K < 0 for each of the following:
(a) G(z)H(z) =
Z-1
z2.
(b) G(z)H(z)
z2 .
(c) G(z)H(z)
z'(1+z=1)
(d) G(z)H(z) = z-1 – z-2
(e) G(z)H(z) is the system function of the causal LTI system described by the
difference equation
z_2 - 1_2
y[n] – 2y[n – 1] = x[n – 1] – x[n – 2].
-
Transcribed Image Text:11.25. Sketch the root loci for K >0 and K < 0 for each of the following: (a) G(z)H(z) = Z-1 z2. (b) G(z)H(z) z2 . (c) G(z)H(z) z'(1+z=1) (d) G(z)H(z) = z-1 – z-2 (e) G(z)H(z) is the system function of the causal LTI system described by the difference equation z_2 - 1_2 y[n] – 2y[n – 1] = x[n – 1] – x[n – 2]. -
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