Finite-time stabilization of stochastic nonlinear systems in p-normal form
This paper investigates the problem of finite-time stabilization for a class of stochastic nonlinear systems in p-normal form. Different from the existing results, the considered systems are allowed to have the powers of both odd and even rational numbers. By delicately combining sign function with adding a power integrator technique, a continuous state feedback controller is presented to guarantee that the closed-loop system is finite-time stable in probability. Simulation results of a liquid-level system are provided to show the effectiveness and applicability of the proposed method.