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Ex. 640. Refer to Fig. 640. Let n=60 and m=85 Assign phase variables: x1=y and x2=x1dot. Determine the state variable equations. al1,a12,a21,a22,b1,b2,cl,c2,d Answers: ans:9

Ex. 640. Refer to Fig. 640. Let n=60 and m=85 Assign phase variables: x1=y and x2=x1dot. Determine the state variable equations. al1,a12,a21,a22,b1,b2,cl,c2,d Answers: ans:9

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Ex. 640. Refer to Fig. 640. Let n=60 and m=85 Assign phase variables: x1=y and x2=x1dot. Determine the state variable equations. all,a12, a21,a22,b1,b2,c1,c2,d Answers: ans:9
Transcribed Image Text:Ex. 640. Refer to Fig. 640. Let n=60 and m=85 Assign phase variables: x1=y and x2=x1dot. Determine the state variable equations. all,a12, a21,a22,b1,b2,c1,c2,d Answers: ans:9
Output Equations (three equivalent forms): Matrix Form: Differential Equation (two forms): Cx + Du Expanded Matrix Form: y Shortcut form rdot form): ÿ + ný my - u y = X1 + Du More Rigorous Form: X2 dy. my = u dr2 dt Expanded Scalar Form: y = c1 x1 +C2 x2 + Du State Equations (three equivalent forms): Matrix Form: Figure 640 i- Ax + Bu Expanded Matrix Form: 图-E 11 12 %3D a21 22 [11 1 X1 b1 X2 Expanded Scalar Form: *1 = a11 x1 + a12*2 + bqu %3D *2 = a21 X1 + *22 *2 + bu
Transcribed Image Text:Output Equations (three equivalent forms): Matrix Form: Differential Equation (two forms): Cx + Du Expanded Matrix Form: y Shortcut form rdot form): ÿ + ný my - u y = X1 + Du More Rigorous Form: X2 dy. my = u dr2 dt Expanded Scalar Form: y = c1 x1 +C2 x2 + Du State Equations (three equivalent forms): Matrix Form: Figure 640 i- Ax + Bu Expanded Matrix Form: 图-E 11 12 %3D a21 22 [11 1 X1 b1 X2 Expanded Scalar Form: *1 = a11 x1 + a12*2 + bqu %3D *2 = a21 X1 + *22 *2 + bu
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