Question: Find the equilibrium values for the states, inputs, and outputs for the model. If there are any free variables, choose the equilibrium value for it to be 0. If possible, it is preferable to make the inputs the free variables, though this is not necessary. If there are multiple solutions for the equilibrium value of a state, input, and/or output, clearly show all potential values.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question: Find the equilibrium values for the states, inputs, and outputs for the model. If there are any free variables, choose the equilibrium value for it to be 0. If possible, it is preferable to make the inputs the free variables, though this is not necessary. If there are multiple solutions for the equilibrium value of a state, input, and/or output, clearly show all potential values.
We have a nonlinear state space model:
State Equations: *1 = sin(2x,)
x2 = 2 sin(2x1) – x² + 4x3
*3 = 6x2 + 3x3 + 8u1
-
Output: y1 = 4x1 + 3u?
Transcribed Image Text:We have a nonlinear state space model: State Equations: *1 = sin(2x,) x2 = 2 sin(2x1) – x² + 4x3 *3 = 6x2 + 3x3 + 8u1 - Output: y1 = 4x1 + 3u?
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