Stabilization of a class of linearly unobservable nonlinear systems by dynamic output feedback (Q2783663)
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scientific article; zbMATH DE number 1730642
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stabilization of a class of linearly unobservable nonlinear systems by dynamic output feedback |
scientific article; zbMATH DE number 1730642 |
Statements
17 April 2002
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asymptotic stability to the \(N\)th approximation
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dynamic output feedback stabilization
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affine nonlinear systems
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non-minimum phase nonlinear systems
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Stabilization of a class of linearly unobservable nonlinear systems by dynamic output feedback (English)
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The authors consider the dynamic output feedback stabilization problem for affine nonlinear systems NEWLINE\[NEWLINE\begin{cases} \dot x=f(x)+ g(x)u\\ y=h(x) \end{cases}NEWLINE\]NEWLINE without any observability assumption. The approach is based on the notion of asymptotic stability according to the \(N\)th approximation. The method can be used to prove dynamic output feedback stabilization of systems with relative degree and can also be applied to some non-minimum phase nonlinear systems.
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