Given the following nonlinear state equation, x₁ = (x₁+7) - (x₂ + 6) + 9 + (x₂ + 12). u x₂ = − (x₂ + 2) - (x₁ +23) obtain an approximate LTI model, by linearizing it at the following point of operation XºP = [-7,-21¹ u" =−0.9 You are required to submit your working part, in a file. In addition to that, you are required to input the A matrix in the text boxes which are offered at the end of this question. Hint: A good procedure is the one we applied in class and in one of the tutorial problems, for obtaining the 1 st order Taylor approximation of the nonlinear state equation of the pendulum Considering that the A matrix follows this convention, [all an] 921 input the values you have obtained for the matrix A, in this vector, [a₁1 912 921 922]
Given the following nonlinear state equation, x₁ = (x₁+7) - (x₂ + 6) + 9 + (x₂ + 12). u x₂ = − (x₂ + 2) - (x₁ +23) obtain an approximate LTI model, by linearizing it at the following point of operation XºP = [-7,-21¹ u" =−0.9 You are required to submit your working part, in a file. In addition to that, you are required to input the A matrix in the text boxes which are offered at the end of this question. Hint: A good procedure is the one we applied in class and in one of the tutorial problems, for obtaining the 1 st order Taylor approximation of the nonlinear state equation of the pendulum Considering that the A matrix follows this convention, [all an] 921 input the values you have obtained for the matrix A, in this vector, [a₁1 912 921 922]
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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Transcribed Image Text:Given the following nonlinear state equation,
x₁ = (x₁+7) ⋅ (x₂ + 6) + 9 + (x₂ + 12). u
x₂ = (x₂ + 2) - (x₁ +23)
obtain an approximate LTI model, by linearizing it at the following point of operation
XºP=[-7,-21¹
u = –09
You are required to submit your working part, in a file.
In addition to that, you are required to input the A matrix in the text boxes which are offered at the end of this question.
Hint: A good procedure is the one we applied in class and in one of the tutorial problems, for obtaining the 1 st order Taylor approximation of the nonlinear state equation of the pendulum.
Considering that the A matrix follows this convention,
912
A =
922
a₂1
input the values you have obtained for the matrix A, in this vector,
[9₁1 912
a21 922
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