Semi-global finite-time stabilization of a class of nonlinear systems by output feedback

This paper considers the problem of semi-global finite-time stabilization by output feedback for a class of uncertain nonlinear systems. The nonlinearities of the systems considered in this paper are bounded by both higher-order and lower-order terms in unmeasurable states, which makes existing design schemes for semi-global output feedback stabilization inapplicable. In this paper, based on the homogeneous domination approach, a scaled homogeneous observer and controller are constructed to semi-globally stabilize a general class of uncertain nonlinear systems in a finite time by choosing an appropriate gain.