Approximation-based Finite-time Adaptive Control for MIMO Stochastic Nonlinear Systems and Its Application to NSVs

In this paper, based on exponential Chebyshev (EC) polynomials, an approximation-based finite-time robust tracking control approach is proposed for MIMO stochastic nonlinear systems. To handle the unknown continuous functions, EC polynomials are utilized to estimate the unknown nonlinear functions with arbitrary precision. Combining with backstepping method, the finite-time robust stochastic controller is designed, and the designed control approach can ensure that all the closed-loop system signals are semi-global finite-time stable in probability (SGFSP). Consider the near space vehicles (NSVs) with stochastic input noise, the simulation results of the NSVs attitude motion show the effectiveness of the proposed approach.