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Q4) Consider a mechanical system that satisfies the following differential equation: 5x+2x+4x²+20x+3x³ = u a) Linearize the above nonlinear system at xo = xo = 1, x = 0, with x = xo + 6 x and u = uo + 8u such that the resulting differential equation is a function of 8x and du. Indicate all the six steps as in lectures clearly. b) Find the corresponding linearized transfer function Ax(s)/AU(s)=L[8x(t)]/L[Su(t)]

Q4) Consider a mechanical system that satisfies the following differential equation: 5x+2x+4x²+20x+3x³ = u a) Linearize the above nonlinear system at xo = xo = 1, x = 0, with x = xo + 6 x and u = uo + 8u such that the resulting differential equation is a function of 8x and du. Indicate all the six steps as in lectures clearly. b) Find the corresponding linearized transfer function Ax(s)/AU(s)=L[8x(t)]/L[Su(t)]

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Q4) Consider a mechanical system that satisfies the following differential equation: 5x+2 +4x²+20x+3x³ =1 a) Linearize the above nonlinear system at xo = xo = 1, o = 0, with x = xo + 8 x and u = uo + du such that the resulting differential equation is a function of Sx and du. Indicate all the six steps as in lectures clearly. b) Find the corresponding linearized transfer function Ax(s)/AU(s)=L[8x(t)]/L[du(t)]
Transcribed Image Text:Q4) Consider a mechanical system that satisfies the following differential equation: 5x+2 +4x²+20x+3x³ =1 a) Linearize the above nonlinear system at xo = xo = 1, o = 0, with x = xo + 8 x and u = uo + du such that the resulting differential equation is a function of Sx and du. Indicate all the six steps as in lectures clearly. b) Find the corresponding linearized transfer function Ax(s)/AU(s)=L[8x(t)]/L[du(t)]
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