*(t) = Ax(t) + Bu(t) = [% Jx(+) + [7] u(t) y(t) = Cx(t) = [g_h]x(t) %3D A control system is described by the fllowing state and output equations. Assuming a=34, b=10, c=10, d=6, e=0, f=1, g=1, and h=0. Find the transfer function (TF) of the system in the form: a¡s + ao TF(s) = b3s3 + b2s² + b,s + bo , What is the order of this system (SOj? Finally, fill in the following blanks by the values of aj, bi, and the system order (SO). Notes: 1) Based on the order of the system (SO), the coefficient of the higher part of the characteristie equation (denominator) should be 1 (Ex for So = 3: s° + 2s² + 5s +3, 2) You should fill the blanks with numbers only and with one decimal at max as EX: 12.1 3) The error is not cumulative and if you don't know any answer, just fill it with any random number more than I (zero is not acceptable). Ex for SO = 2: s² + 3s +4 ) 1) The value of a, = 2) The value of ao =

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Author:Robert L. Boylestad
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]x(t) +
y(t) = Cx(t) = [g_h]x(t)
*(t) = Ax(t) + Bu(t) =
(4)n
A control system is described by the following state and
output equations.
Assuming a=34, b=10, c=10, d=6, e=0, f=1, g=1, and h=0. Find
the transfer function (TF) of the system in the form:
a¡s + ao
TF(s) =
b3s3 + b2s² + b,s + bo
What is the order
of this system (SO)?
Finally, fill in the following blanks by the values of aj, bi, and
the system order (SO).
Notes:
1) Based on the order of the system (SO), the coefficient of the higher part of the characteristic
equation (denominator) should be 1 (Ex for So = 3: s° + 2s² + 5s +3,
Ex for SO = 2: s² + 3s + 4
2) You should fill the blanks with numbers only and with one decimal at max as EX: 12.1
3) The error is not cumulative and if you don't know any answer, just fill it with any random
number more than (zero is not acceptable).
1) The value of a, =
2) The value of ao =
Transcribed Image Text:]x(t) + y(t) = Cx(t) = [g_h]x(t) *(t) = Ax(t) + Bu(t) = (4)n A control system is described by the following state and output equations. Assuming a=34, b=10, c=10, d=6, e=0, f=1, g=1, and h=0. Find the transfer function (TF) of the system in the form: a¡s + ao TF(s) = b3s3 + b2s² + b,s + bo What is the order of this system (SO)? Finally, fill in the following blanks by the values of aj, bi, and the system order (SO). Notes: 1) Based on the order of the system (SO), the coefficient of the higher part of the characteristic equation (denominator) should be 1 (Ex for So = 3: s° + 2s² + 5s +3, Ex for SO = 2: s² + 3s + 4 2) You should fill the blanks with numbers only and with one decimal at max as EX: 12.1 3) The error is not cumulative and if you don't know any answer, just fill it with any random number more than (zero is not acceptable). 1) The value of a, = 2) The value of ao =
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