基于汉默斯里序列抽样的姿控系统随机稳定性评估

Stochastic Stability Evaluation of Attitude Control System Based on Hammersley Sequence Sampling

针对传统蒙特卡洛抽样方法所需样本个数较多、收敛时间较长等问题,提出一种基于汉默斯里序列抽样的随机稳定性评估方法,并将其应用于飞行器姿态控制系统的设计过程。通过构造随机幅值裕度和随机相位裕度评估姿态控制系统统计意义上的稳定程度,可有效避免传统频域设计中评估原则的保守性。仿真结果表明,相比基于蒙特卡洛抽样的评估方法,本方法可以有效减少样本个数,且其空间分布性更广、评估可信性更高。

Aiming at the problems resulted from the traditional Monte-Carlo sampling method,such as more required sample number and longer convergence time,a stochastic stability evaluation method is proposed,which is based on hammersley sequence sampling and applied to the design process of aircraft attitude control system.By establishing the stochastic magnitude margin and the stochastic phase margin,the stability degree of attitude control system is evaluated by statistics meaning,which can effectively avoid the conservation of evaluation principle in traditional frequency-domain design.Simulation results show that,compared with the evaluation method based on Monte-Carlo sampling,the proposed method can effectively reduce the sample number,and the sample distribution is more expansive in space and the evaluation creditability is higher.