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A system has a transfer function defined as follows: 2s3 + s? +s+ 2 s3 + 4s2 + 5s + 2 Y(s) U(s) The system is assigned with a state variable X, (s) such that, X1(s) U(s) 1 s3 + 4s2 + 5s +2 And, Y(s) = 2s3 + s? + s + 2 X,(s) In addition, the following state variables are defined as well: x1 = x2 X2 = X3 Show that the system's state-space state equation and output equation can be written as follows: a. E-- =|0 + -2 -5 y = [-2 -9 -7] + 2u b. Draw a block diagram, with all the state variables shown, to represent the system.

A system has a transfer function defined as follows: 2s3 + s? +s+ 2 s3 + 4s2 + 5s + 2 Y(s) U(s) The system is assigned with a state variable X, (s) such that, X1(s) U(s) 1 s3 + 4s2 + 5s +2 And, Y(s) = 2s3 + s? + s + 2 X,(s) In addition, the following state variables are defined as well: x1 = x2 X2 = X3 Show that the system's state-space state equation and output equation can be written as follows: a. E-- =|0 + -2 -5 y = [-2 -9 -7] + 2u b. Draw a block diagram, with all the state variables shown, to represent the system.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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A system has a transfer function defined as follows: 2s3 + s? +s+ 2 s3 + 4s2 + 5s + 2 Y(s) U(s) The system is assigned with a state variable X, (s) such that, X1(s) U(s) 1 s3 + 4s2 + 5s +2 And, Y(s) = 2s3 + s? + s + 2 X,(s) In addition, the following state variables are defined as well: x1 = x2 X2 = X3 Show that the system's state-space state equation and output equation can be written as follows: a. E-- =|0 + -2 -5 y = [-2 -9 -7] + 2u b. Draw a block diagram, with all the state variables shown, to represent the system.
Transcribed Image Text:A system has a transfer function defined as follows: 2s3 + s? +s+ 2 s3 + 4s2 + 5s + 2 Y(s) U(s) The system is assigned with a state variable X, (s) such that, X1(s) U(s) 1 s3 + 4s2 + 5s +2 And, Y(s) = 2s3 + s? + s + 2 X,(s) In addition, the following state variables are defined as well: x1 = x2 X2 = X3 Show that the system's state-space state equation and output equation can be written as follows: a. E-- =|0 + -2 -5 y = [-2 -9 -7] + 2u b. Draw a block diagram, with all the state variables shown, to represent the system.
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