基于PCE的飞行器不确定性量化方法

doi:10.16182/j.issn1004731x.joss.201812008

系统仿真学报 ›› 2018, Vol. 30 ›› Issue (12): 4555-4562.doi: 10.16182/j.issn1004731x.joss.201812008

基于PCE的飞行器不确定性量化方法

刘博^1,2, 尚晓兵¹, 晁涛¹, 马萍¹, 杨明¹

1.哈尔滨工业大学控制与仿真中心,黑龙江哈尔滨 150008;
2.中国船舶重工集团公司第705研究所,陕西西安 710077

出版日期:2018-12-10 发布日期:2019-01-03
作者简介:刘博(1993-),男,黑龙江哈尔滨,硕士,研究方向为飞行器制导控制仿真;尚晓兵(1992-),男,安徽,博士生,研究方向为飞行器仿真评估;晁涛(1983-),男,黑龙江,博士,副教授,研究方向为飞行器系统制导控制。
基金资助:
国家自然科学基金(61627810, 61790562, 61403096)

Uncertainty Quantification Method for Aircraft Using PCE Model

Liu Bo^1,2, Shang Xiaobing¹, Chao Tao¹, Ping Ma¹, Yang Ming¹

1.Control and Simulation Center, Harbin Institute of Technology, Heilongjiang Province, Harbin 150001, China;
2.No.705 institute, China Shipbuilding Industry Corporation, Shaanxi Province, Xi’an 710077, China;

Online:2018-12-10 Published:2019-01-03

摘要/Abstract

摘要： 针对飞行器系统不确定性参数多、模型结构复杂等特点,提出一种基于多项式混沌展开的不确定性量化方法。由一种基于多维多项式混沌展开近似模型(Polynomial chaos expansion,PCE)作为代理模型对飞行器模型进行近似,来减少不确定性参数经过飞行器动态系统传播的计算量。在近似的代理模型基础上进行Sobol全局灵敏度指标计算。通过飞行器动态模型实例展示了多项式混沌展开方法在基于方差分解的全局灵敏度分析的有效性。

关键词: 飞行器系统, 多项式混沌展开, 代理模型, Sobol指标, 全局灵敏度分析

Abstract: In order to study uncertainty quantification of aircraft, which has the characteristics of many uncertainty parameters, complex model structures, and so on, an uncertainty quantification method based on polynomial chaos expansion is proposed. A method based on multi-dimensional polynomial chaos expansion (PCE) is used as an agent model to approximate aircraft so as to reduce the amount of calculation of transmitting by the vehicle dynamic system from uncertainty parameters. The Sobol index of the global sensitivity is calculated based on the approximate agent model. An example is presented to demonstrate the effectiveness of the polynomial chaos expansion method in global sensitivity analysis based on variance decomposition.

Key words: aircraft system, PCE, agent model, Sobol indices, Global sensitivity analysis

中图分类号:

TP391

刘博, 尚晓兵, 晁涛, 马萍, 杨明. 基于PCE的飞行器不确定性量化方法[J]. 系统仿真学报, 2018, 30(12): 4555-4562.

Liu Bo, Shang Xiaobing, Chao Tao, Ping Ma, Yang Ming. Uncertainty Quantification Method for Aircraft Using PCE Model[J]. Journal of System Simulation, 2018, 30(12): 4555-4562.

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基于PCE的飞行器不确定性量化方法

Uncertainty Quantification Method for Aircraft Using PCE Model

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