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2 1. Consider the following non-linear system with state x = [1 input u given below: x₁ = cos(x₂)x3 + u x₂ = x₁ + cos(x₂)x3 + u X3 = x2 - X1 3] ER ar

2 1. Consider the following non-linear system with state x = [1 input u given below: x₁ = cos(x₂)x3 + u x₂ = x₁ + cos(x₂)x3 + u X3 = x2 - X1 3] ER ar

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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Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Adaptive Control, Nonlinear control

1. Consider the following non-linear system with state x = input u given below: [X1 X2 X3]" E R³ and scalar *1 = cos(x2)x3 + u *2 = x1 + cos(X2)X3 + u *3 = X2 - X1 a) Show that the system is state feedback linearisable. b) Derive an output y that allows input-output linearisation. Design a feedback controller which results in linear Input-Output dynamics with the respect to the output signal y. Provide full detail and explanations.
Transcribed Image Text:1. Consider the following non-linear system with state x = input u given below: [X1 X2 X3]" E R³ and scalar *1 = cos(x2)x3 + u *2 = x1 + cos(X2)X3 + u *3 = X2 - X1 a) Show that the system is state feedback linearisable. b) Derive an output y that allows input-output linearisation. Design a feedback controller which results in linear Input-Output dynamics with the respect to the output signal y. Provide full detail and explanations.
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