Model Analysis and Validation for Hypersonic Vehicle Based on Polynomial Chaos Expansion

The control performance of hypersonic vehicle (HSV) is highly impacted by uncertainty parameters or exterior condition random variables. Taking all possible uncertainty changes into consideration often results in the conservativeness in control design. In fact, many parameters changes meet a certain probability distribution in most cases. This article focuses on analysis the effects of those uncertain parameters changes on system output of HSV, and then describes random changes of parameters using polynomial chaos expansion (PCE) method. The HSV model with uncertainty parameters will be transformed into deterministic nonlinear differential equations by projection transformation. The Statistical characteristics of system outputs will be obtained by solving the nonlinear differential equations. Finally, simulation verifies the effectiveness of the method.