Abstract
New types of homogeneous and homogeneous-in-bilimit filtering observers and differentiators are proposed and applied for the global robust homogeneous asymptotic output-feedback stabilization of disturbed integrator chains. The type of convergence (finite-time, fixed-time to any ball or just asymptotic) is determined by the chosen system homogeneity degree (HD). Output-feedback sliding-mode control is an important particular case. Stabilization accuracy is calculated in the presence of possibly unbounded noises having a bounded multiple integral. Successful stabilization is demonstrated for very large noises and different HDs.
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