Homogeneous Approximation, Recursive Observer Design, and Output Feedback

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dc.creatorAndrieu, Vincent
dc.creatorPraly, Laurent
dc.creatorAstolfi, Alessandro
dc.date2009-03-02
dc.date.accessioned2026-07-07T12:48:11Z
dc.date.available2026-07-07T12:48:11Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0903.0298
dc.identifierhttp://arxiv.org/abs/0903.0298
dc.identifierSIAM Journal on Control and Optimization 47, 4 (2008) 1814-1850
dc.identifierdoi:10.1137/060675861
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221965
dc.subjectOptimization and Control
dc.subject93B51, 93B52, 93D05, 93D15, 34D20
dc.titleHomogeneous Approximation, Recursive Observer Design, and Output Feedback
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