Andrieu, Vincent; Praly, Laurent; Astolfi, Alessandro Homogeneous approximation, recursive observer design, and output feedback. (English) Zbl 1165.93020 SIAM J. Control Optim. 47, No. 4, 1814-1850 (2008). Summary: 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 integrators. Combining these two tools, we propose a new global asymptotic stabilization result by output feedback for feedback and feedforward systems. Cited in 147 Documents MSC: 93B51 Design techniques (robust design, computer-aided design, etc.) 93B52 Feedback control 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory 93D15 Stabilization of systems by feedback 34D20 Stability of solutions to ordinary differential equations Keywords:homogeneous approximation; output feedback and observer PDF BibTeX XML Cite \textit{V. Andrieu} et al., SIAM J. Control Optim. 47, No. 4, 1814--1850 (2008; Zbl 1165.93020) Full Text: DOI arXiv OpenURL