Adaptive Finite-time Stabilization of High-order Stochastic Nonlinear Systems with Unknown Control Direction

This paper studies fuzzy adaptive finite-time stabilization control issue of uncertain stochastic nonlinear high-order systems. Fuzzy logic system (FLS) is used to identify unknown nonlinearities. The unknown control direction is handled by adopting the Nussbaum function. Combining adaptive backstepping design with adding a power integrator method, a fuzzy adaptive finite-time control approach is developed, which guarantees that the closed-loop system is semi-global practical finite-time stable in probability.