6.4-5. Consider the sampled-data systems with the following characteristic equations: (i) z 0.199 = 0 (v) z² (vi) z² - 1 = 0 (ii) z (iii) z (vii) z² - 2z+ 0.99 = 0 (iv) z + 0.9 = 0 (a) What can you determine about the system natural-response characteristics for each system, for T = 0.2 s? 0.99 = 0 0.19 = 0 1.9z+ 0.90 (b) Repeat part (a) for T = 2 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 T2

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6.4-5. Consider the sampled-data systems with the following characteristic equations:
(i) z 0.199 = 0
(v) z² 1.9z+0.9 = 0
(vi) z² - 1 = 0
(ii) z0.99 = 0
(iii) z- 0.19 = 0
(vii) z² 2z+0.99 = 0
(iv) z +0.9 = 0
-
(a) What can you determine about the system natural-response characteristics for each system, for
T = 0.2 s?
(b) Repeat part (a) for T = 2 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?
Transcribed Image Text:6.4-5. Consider the sampled-data systems with the following characteristic equations: (i) z 0.199 = 0 (v) z² 1.9z+0.9 = 0 (vi) z² - 1 = 0 (ii) z0.99 = 0 (iii) z- 0.19 = 0 (vii) z² 2z+0.99 = 0 (iv) z +0.9 = 0 - (a) What can you determine about the system natural-response characteristics for each system, for T = 0.2 s? (b) Repeat part (a) for T = 2 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?
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