Problem 2 (Problem 2.12-1 from the textbook) 0 1 x(k +1) =0 3 >(4) = | -2 1 |=(*) (a)Find the transfer function of this system. (b)Let u(k) = 1, k 2 0 (a unit step function) and x(0) = 0 . Use the transfer function of part (a) to find the system response. Page 1 of 2 (c) Find the state transition matrix &(x) for this system. (d)Use (2-90) to verify the step response calculated in part (b). This calculation results in the response expressed as a sum m ation. Then check the values y(0). y(1) , and y(2). (e) Verify the results of part (d) by the iterative solution of the state equations.
Problem 2 (Problem 2.12-1 from the textbook) 0 1 x(k +1) =0 3 >(4) = | -2 1 |=(*) (a)Find the transfer function of this system. (b)Let u(k) = 1, k 2 0 (a unit step function) and x(0) = 0 . Use the transfer function of part (a) to find the system response. Page 1 of 2 (c) Find the state transition matrix &(x) for this system. (d)Use (2-90) to verify the step response calculated in part (b). This calculation results in the response expressed as a sum m ation. Then check the values y(0). y(1) , and y(2). (e) Verify the results of part (d) by the iterative solution of the state equations.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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I need solutions parts a, b, d. thanks!
![Problem 2 (Problem 2.12-1 from the textbook)
0 1
x* +1) =
0 3
y(x) = [ -2 1 ]x(x)
(a) Find the transfer function of this system.
(b)Let u(k) = 1, k 20 (a unit step function) and x(0) = 0. Use the transfer function of part (a) to
find the system response.
Page 1 of 2
(c) Find the state transition matrix () for this system.
(d)Use (2-90) to verify the step response calculated in part (b). This calculation results in the
response expressed as a sum mation. Then check the values y(0). y(1). and y(2).
(e) Verify the results of part (d) by the iterative solution of the state equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7962575e-6be7-4699-b1ed-32c646d7682f%2Fa1336323-804e-4504-9211-c6fd2f4c9eda%2Fe5c2ubt_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 2 (Problem 2.12-1 from the textbook)
0 1
x* +1) =
0 3
y(x) = [ -2 1 ]x(x)
(a) Find the transfer function of this system.
(b)Let u(k) = 1, k 20 (a unit step function) and x(0) = 0. Use the transfer function of part (a) to
find the system response.
Page 1 of 2
(c) Find the state transition matrix () for this system.
(d)Use (2-90) to verify the step response calculated in part (b). This calculation results in the
response expressed as a sum mation. Then check the values y(0). y(1). and y(2).
(e) Verify the results of part (d) by the iterative solution of the state equations.
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