Homogeneous Approximation, Recursive Observer Design, and Output Feedback

Authors: Vincent Andrieu, Laurent Praly, Alessandro Astolfi
SIAM Journal on Control and Optimization 47, 4 (2008) 1814-1850, DOI : 10.1137/060675861
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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BibTeX:
@Article{,
author = {Vincent Andrieu, Laurent Praly, Alessandro Astolfi},
title = {Homogeneous Approximation, Recursive Observer Design, and Output Feedback},
journal = {SIAM Journal on Control and Optimization},
volume = {47},
number = {4},
pages = {1814-1850},
year = {2008},
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.},
location = {},
keywords = {homogeneous approximation, output feedback and observer}}