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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2008

Homogeneous Approximation, Recursive Observer Design, and Output Feedback

Résumé

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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Dates et versions

hal-00362707 , version 1 (19-02-2009)

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