Finite-time mean-nonovershooting control for stochastic nonlinear systems

Abstract

The problem of finite-time mean-nonovershooting control is investigated for a class of stochastic nonlinear systems in this paper. For general stochastic strict-feedback nonlinear systems, a new controller is designed, which uses the framework of the backstepping technique, to assure that the mean of overshoot can be adjusted arbitrarily small (by changing controller gains) while all the states of the closed-loop system in finite-time to get bounded in probability. In contrast with corresponding deterministic systems, it has better performance that control gains did not rely on the initial conditions of system states and derivatives of the reference trajectory. Finally, a simulation example is showing the appealing performance of the proposed scheme.