3. (a) Show that the transfer function relating the output, Y(s), to the input, U(s), for the system shown in Figure3 below is given by: 5 s2+77 s + 288 s³ + 16 s2 + 83 s + 174

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Can you do part a please 

3.
y = cx
U(s)
(a)
Show that the transfer function relating the output, Y(s), to the input, U(s), for
the system shown in Figure3 below is given by:
5 s²+77 s + 288
S³ + 16 s² + 83 s + 174
Express the system in state space form
* = Ax + by
(i)
by using the transfer function;
by using the outputs from the components A, B, and C as the states xi,
x2, and x3 respectively.
5
1
xi +
X2
S+1
2
S+6
6
A
X3
Tudo
2
C
S+9
B
Y(s)
Transcribed Image Text:3. y = cx U(s) (a) Show that the transfer function relating the output, Y(s), to the input, U(s), for the system shown in Figure3 below is given by: 5 s²+77 s + 288 S³ + 16 s² + 83 s + 174 Express the system in state space form * = Ax + by (i) by using the transfer function; by using the outputs from the components A, B, and C as the states xi, x2, and x3 respectively. 5 1 xi + X2 S+1 2 S+6 6 A X3 Tudo 2 C S+9 B Y(s)
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