Semiglobal Finite-time Stabilization via Output-feedback for a Class of Uncertain High-order Planar Nonlinear Systems

This paper is devoted to the semiglobal finite-tune stabilization via output-feedback for a class of uncertain high order planar nonlinear systems. The systems under investigation contain unknown control coefficients and possess more serious nonlinearities. In this paper, with the assumption that all the system states are available for feedback, a state-feedback controller is first constructed by adding a power integrator, which ensures that the closed-loop system is globally finite-time stable. Then, by certainty equivalence principle and saturation technique, an output-feedback controller is successfully constructed, which makes the closed-loop system semiglobal attractive and local finite-time stable. A simulation example is presented to illustrate the effectiveness of the proposed method.