Journal
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Volume 47, Issue 4, Pages 1814-1850Publisher
SIAM PUBLICATIONS
DOI: 10.1137/060675861
Keywords
homogeneous approximation; output feedback and observer
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Funding
- Leverhulme Trust
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We introduce two new tools that can be useful in nonlinear observer and output feedback design. The first one is a simple extension of the notion of homogeneous approximation to make it valid both at the origin and at infinity (homogeneity in the bi-limit). Exploiting this extension, we give several results concerning stability and robustness for a homogeneous in the bi-limit vector field. The second tool is a new recursive observer design procedure for a chain of integrator. Combining these two tools, we propose a new global asymptotic stabilization result by output feedback for feedback and feedforward systems.
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