y - Cx + Du ý +nÿ + mỷ + P y Figure 650

Introductory Circuit Analysis (13th Edition)
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i = Ax + Bu
y - Cx + Du
y +nÿ • mỷ + Py = u
Figure 650
Transcribed Image Text:i = Ax + Bu y - Cx + Du y +nÿ • mỷ + Py = u Figure 650
Ex. 650. Refer to Fig. 650. Let n=45, m=18, and p=94
Assign phase variables: x1=y, x2=x1dot, and
x3=x2dot. Determine the state
variable equations. Answers:
a12,a23,a31,a32,a33,b31,c1,all_the_others ans:8
Ex. 660. y(t)" + 61y(t)' + 98y(t) = 98u(t).
Assign phase variables: x1(t) = y(t) and x2(t) = x1(t)'.
Determine the state
variable equations: x(t)' = A x(t) + B u(t) and y(t) = C
x(t) + D u(t).
Answers: a11,a12,a21,a22,b1,b2,c1,c2,d ans:9
Transcribed Image Text:Ex. 650. Refer to Fig. 650. Let n=45, m=18, and p=94 Assign phase variables: x1=y, x2=x1dot, and x3=x2dot. Determine the state variable equations. Answers: a12,a23,a31,a32,a33,b31,c1,all_the_others ans:8 Ex. 660. y(t)" + 61y(t)' + 98y(t) = 98u(t). Assign phase variables: x1(t) = y(t) and x2(t) = x1(t)'. Determine the state variable equations: x(t)' = A x(t) + B u(t) and y(t) = C x(t) + D u(t). Answers: a11,a12,a21,a22,b1,b2,c1,c2,d ans:9
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