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Homogeneous approximation, recursive observer design, and output feedback. (English) Zbl 1165.93020
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.

93B51Design techniques in systems theory
93B52Feedback control
93D05Lyapunov and other classical stabilities of control systems
93D15Stabilization of systems by feedback
34D20Stability of ODE
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