Finite-time tracking control for stochastic nonlinear systems with full state constraints

In this paper, an adaptive finite-time controller is constructed for stochastic nonlinear systems with parametric uncertainties. All the states in the systems are constrained in a bounded compact set. By constructing a tan-type Barrier Lyapunov Function, the scheme we proposed deals with the finite-time tracking control problem and all the state in the stochastic systems are not violated. Tracking error can converge into a small neighborhood of zero and all the signals in the closed-loop system are bounded. Simulation results demonstrate the effectiveness of the presented approach.