Consider the sampled-data systems with the following characteristic equations: (1) 2- - 0.999 = 0 Z-0.99 =

Consider the sampled-data systems with the following characteristic equations:

Transcribed Image Text:

(1) 2- - 0.999 = 0 Z-0.99 = 0 (v) 21.85z + 0.854 = 0 (vi) 2-1=0 (vii) 22z+0.99 = 0 (11) (111) z - 0.9=0 (iv) z +0.9 = 0 (viii) z-1.22 +0.7 = 0 (a) What can you determine about the system natural-response characteristics for each system, for T = 0.1 s? (b) Repeat part (a) for T = 1 s. (c) For a given characteristic equation as a function of z, which parameters of the transient response vary with the sample period T, and which are independent of T?