Homogeneous Approximation, Recursive Observer Design, and Output Feedback

Abstract : 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.
Complete list of metadatas

Cited literature [35 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00362707
Contributor : Vincent Andrieu <>
Submitted on : Thursday, February 19, 2009 - 10:55:00 AM
Last modification on : Saturday, January 11, 2020 - 1:15:50 AM
Long-term archiving on: Tuesday, June 8, 2010 - 8:56:20 PM

Files

HomoObsOF.pdf
Publisher files allowed on an open archive

Identifiers

Citation

Vincent Andrieu, Laurent Praly, Alessandro Astolfi. Homogeneous Approximation, Recursive Observer Design, and Output Feedback. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2008, 47 (4), pp.1814-1850. ⟨10.1137/060675861⟩. ⟨hal-00362707⟩

Share

Metrics

Record views

654

Files downloads

1075