Global Finite-Time Stabilization of a Class of Uncertain Nonlinear Systems Using Output Feedback

In this paper, the problem of global finite-time sta- bilization by means of output feedback is considered for a class of uncertain nonlinear systems. To solve the problem, we first construct a homogenous observer and controller in a recursive way for a chain of integrators. Then, using the homogeneous domination approach [8], we scale the homogeneous observer and controller with an appropriate choice of gain to render the nonlinear systems globally finite-time stable.