Let a nonlinear system be represented by xị = x, sin(x2) + x2f X2 = X1 e¬*2 + f² y = 2x1x2 + x? Assume that the values for the system nominal trajectories and input are known and given by xin, X2n and fn. Determine the linearized state space equation of this nonlinear system.

Let a nonlinear system be represented by xị = x, sin(x2) + x2f X2 = X1 e¬*2 + f² y = 2x1x2 + x? Assume that the values for the system nominal trajectories and input are known and given by xin, X2n and fn. Determine the linearized state space equation of this nonlinear system.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.6: Solve Systems Of Equations Using Determinants

Problem 279E: Explain the steps for solving a system of equations using Cramer’s rule.

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Question

Let a nonlinear system be represented by
X1 = x1 sin(x,) + x2f
X2 = x, e¬*2 + f²
y = 2x1x2 + x3
Assume that the values for the system nominal trajectories and input are known and given
by Xin, X2n and fn.
+Determine the linearized state space equation of this nonlinear system.

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