For each of the following input-state systems, with state vector x(t) and input vector u(t), write down the corresponding matrices A and B when written in their state-space form * = Ax+ Bu (a) 1=-2z1+7x2-4u1 Enter matrix A Show Instructions Enter matrixB Show Instructions (b) 1 = 3z1 + 7z2+8z3-5u1 +6u2 i2 = -I1 +7z2+ z3 +6u1+9uz ż3 = z1 - 9z2 + 8u2 Enter matrix A Show Instructions

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For each of the following input-state systems, with state vector x(t) and input vector u(t), write down the
corresponding matrices A and B when written in their state-space form
*= Ax+ Bu
(a)
1=-2z1 + 7x2-4u1
Enter matrix A
Show Instructions
Enter matrix B
Show Instructions
(b)
1 = 3z1 +7z2+8z3-5u1+ 6u2
i2 = -1+7z2+ z3 + 6u1 +9u2
ż3 = z1 - 9z2+8u2
Enter matrix A
Show Instructions
Transcribed Image Text:For each of the following input-state systems, with state vector x(t) and input vector u(t), write down the corresponding matrices A and B when written in their state-space form *= Ax+ Bu (a) 1=-2z1 + 7x2-4u1 Enter matrix A Show Instructions Enter matrix B Show Instructions (b) 1 = 3z1 +7z2+8z3-5u1+ 6u2 i2 = -1+7z2+ z3 + 6u1 +9u2 ż3 = z1 - 9z2+8u2 Enter matrix A Show Instructions
t = + 9u1
Enter matrix A
Show Instructions
Enter matrix B
Show Instructions
(b)
1 = 3z1 +7r2+ 8z3-5u1 +6u2
i2 = -1+7z2+ 23 +bu +9u2
*3 = 11 - 9z2+ 8u2
Enter matrix A
Show Instructions
Enter matrix B
Show Instructions
Transcribed Image Text:t = + 9u1 Enter matrix A Show Instructions Enter matrix B Show Instructions (b) 1 = 3z1 +7r2+ 8z3-5u1 +6u2 i2 = -1+7z2+ 23 +bu +9u2 *3 = 11 - 9z2+ 8u2 Enter matrix A Show Instructions Enter matrix B Show Instructions
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