Consider the nonlinear system equations X = x2-e-1, X2 = sin(x,-x2) -x,' +ux,, %3D y = x1 + X2. If u = 1, x1 = 1, x2 1 is a solution of these equations, linearize the system around the given solution and write the result in the state-space form.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the nonlinear system equations
X = x2 - e*1-1,
X2 = sin(x, - x2)-x, + ux,,
y = x1 + X2.
If u = 1, x1 = 1, x2 1 is a solution of these equations, linearize the system around the given solution
and write the result in the state-space form.
Transcribed Image Text:Consider the nonlinear system equations X = x2 - e*1-1, X2 = sin(x, - x2)-x, + ux,, y = x1 + X2. If u = 1, x1 = 1, x2 1 is a solution of these equations, linearize the system around the given solution and write the result in the state-space form.
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