Page 544 - Mechanical Engineers' Handbook (Volume 2)
P. 544
6 Pole Locations in the z-Domain 535
Figure 28 Plot of the response of a second-order
system with a right-half-plane zero: a non-
minimum-phase system.
asymptotic stability. Thus the open left-half s-plane is equivalent to the interior of the unit
circle in the z-domain. The exterior of the unit circle (i.e., z 1) represents the unstable
region in the z-domain.
6.1 Stability Analysis of Closed-Loop Systems in the z-Domain
Consider a unity negative-feedback system with the closed-loop pulse transfer function
C(z) G(z)
(15)
R(z) 1 G(z)
Figure 29 Plot of step response for several third-order systems with
0.5.
