Covariance Analysis for Hypersonic Vehicle Attitude Control System
JIANG Ruimin1， ZHOU Xinjie1， ZHAO Bin1， BI Qian2， ZHU Yalong2
1. Institute of Precision Guidance and Control， Northwestern Polytechnical University， Xi'an 710072， Shaanxi， China； 2. National Key Laboratory of Electromagnetic Space Security， Chengdu 610036， Sichuan， China
Abstract：This paper proposed a covariance analysis describing function technique (CADET) using unscented transform for hypersonic vehicle attitude control system rapid assessment statistical performance problem. The traditional CADET method suffers from complex solving processes and complicated programming when solving the description function of nonlinear functions. In this study, the nonlinear function was linearised by weighted sampling and the least square method during the statistical linearization. The proposed method analysed the propagation law of the state mean and covariance of the stochastic nonlinear system. Based on the mathematical model of the hypersonic vehicle longitudinal attitude motion, the statistical performance of the hypersonic vehicle attitude motion with external disturbance was calculated by the CADET method using the Unscented Transform. The validity and correctness of the proposed CADET method were verified and compared with the Monte Carlo simulation results.
