Title
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.
Year
DOI
Venue
2008
10.1137/060675861
SIAM J. Control and Optimization
Keywords
Field
DocType
homogeneous approximation,new tool,nonlinear observer,output feedback,new recursive observer design,new global asymptotic stabilization,feedforward system,recursive observer design,bi-limit vector field,simple extension,output feedback design,vector field,nonlinear system
Lyapunov function,Simple extension,Control theory,Integrator,Robustness (computer science),Exponential stability,Observer (quantum physics),System identification,Mathematics,Feed forward
Journal
Volume
Issue
ISSN
47
4
SIAM Journal on Control and Optimization 47, 4 (2008) 1814-1850
Citations 
PageRank 
References 
145
7.64
14
Authors
3
Search Limit
100145
Name
Order
Citations
PageRank
Vincent Andrieu132832.83
Praly, L.21835364.39
Alessandro Astolfi31554169.77