Consider the system x₁ = x₂ + sin x₁ x₂ = θx² + u y = x1 where the parameter is not exactly known but can be bounded as follows

Question

Consider the system
x₁ = x₂ + sin x₁
x₂ = θx² + u
y = x1
where the parameter is not exactly known but can be bounded as follows:
|θ| ≤ 2
Design a sliding surface controller to stabilize the origin in the presence of the uncertainty in parameter θ.

Kunduz · Accepted Answer

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