(b) If the plant transfer function is: 2000 H(s) : %3D s + 400 By assuming a zero-order hold (using the conversion equation below) and a sample rate of 1000 SPS, show that the equivalent discrete transfer function of G(s) is: 1.648 H(z): %3D z - 0.6703 Zero-order Hold equation: [z - 117(G(s) Z. |

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question 1
(a) Draw a block diagram of a digitally controlled continuous plant and indicate on the
diagram if the connections between blocks are digital or analogue signals. Assume
the reference signal is digital.
(b) If the plant transfer function is:
2000
H(s) =
s + 400
By assuming a zero-order hold (using the conversion equation below) and a sample
rate of 1000 SPS, show that the equivalent discrete transfer function of G(s) is:
1.648
H(z)
%3D
z - 0.6703
Zero-order Hold equation:
[Z - 11
G(z) =
Sketch the unit step response of H(s) and H(z) on the same graph and label
significant points. Use a time range from 0 to 20 ms.
Transcribed Image Text:Question 1 (a) Draw a block diagram of a digitally controlled continuous plant and indicate on the diagram if the connections between blocks are digital or analogue signals. Assume the reference signal is digital. (b) If the plant transfer function is: 2000 H(s) = s + 400 By assuming a zero-order hold (using the conversion equation below) and a sample rate of 1000 SPS, show that the equivalent discrete transfer function of G(s) is: 1.648 H(z) %3D z - 0.6703 Zero-order Hold equation: [Z - 11 G(z) = Sketch the unit step response of H(s) and H(z) on the same graph and label significant points. Use a time range from 0 to 20 ms.
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