Semi-Global Output Feedback Stabilization of Non-Uniformly Observable and Nonsmoothly Stabilizable Systems

摘要

The problem of semi-global output feedback stabilization is investigated for nonlinear systems. The main contribution of this paper is to prove that without imposing any growth condition, it is possible to achieve semi-global stabilization by nonsmooth output feedback for a chain of odd power integrators perturbed by a triangular vector field, which is in general not smoothly stabilizable nor uniformly observable.