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 x = Ax+ Bu (a) 1 = 6x2 + u t2 = 5x1 - 6x2+3u1 Enter matrix A Show Instructions Enter matrix B Show Instructions (b) 21 = 6z1 + 2x2 + 7x3 – 6u1 – 2u2 - 8u3 i2 = -I1-5z2+ 5u1 + 4u2 - 2uz i3 = 911 - 312 + 3z3 + u1 -3u2- u3 Enter matrix A Show Instructions

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 x = Ax+ Bu (a) 1 = 6x2 + u t2 = 5x1 - 6x2+3u1 Enter matrix A Show Instructions Enter matrix B Show Instructions (b) 21 = 6z1 + 2x2 + 7x3 – 6u1 – 2u2 - 8u3 i2 = -I1-5z2+ 5u1 + 4u2 - 2uz i3 = 911 - 312 + 3z3 + u1 -3u2- u3 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

Problem 1RQ

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

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Enter matrix A
Show Instructions
Enter matrix B
Show Instructions
18 mari

Question 3.
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 = 6x2+ ui
t2 = 5x1 – 6I2 + 3u1
Enter matrix A
Show Instructions
Enter matrix B
Show Instructions
(b)
21 = 621 + 212 + 7x3 – 6u1 – 2u2 – 8u3
ż2 =-11-5z2+5u1 + 4u2 - 2uz
i3 = 9z1 - 3z2 + 3z3 + u1 – 3u2 - uz
Enter matrix A
Show Instructions

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