Robust Stochastic Longitudinal Control for Near Space Vehicles via Polynomial Approximation

摘要

In this paper, on the basis of dynamic surface control (DSC) technique, a polynomial approximation based robust stochastic longitudinal control approach is developed for near space vehicles (NSVs). Considering the lumped uncertainties are unknown continuous function with respect to time variable. Legendre polynomials (LPs) are utilized to estimate the lumped continuous-time functions. Combining with the backstepping technique, the polynomial approximation based stochastic robust control approach is presented for the attitude subsystem via DSC. The developed control approach can ensure that all of the closed-loop signals are semi-globally uniformly ultimately bounded (SGUUB) in the sense of probability. Simulation results are given to demonstrate the availability of the developed approach.