线性拟合法建立航空发动机状态变量模型

陆军; 郭迎清; 陈小磊

线性拟合法建立航空发动机状态变量模型

西北工业大学动力与能源学院,西安 710072

基金项目: “985工程”二期(航空动力关键技术科技创新平台)

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- 被引次数: 0
出版历程
- 收稿日期: 2010-04-26
- 修回日期: 2010-08-31
- 刊出日期: 2011-05-28

Establishment of aero-engine state variable model based on linear fitting method

School of Power and Energy, Northwestern Polytechnical University, Xi'an 710072, China

摘要

摘要: 针对非线性拟合法建立航空发动机状态变量模型过程中的初值问题,提出了一种能够避免该问题的线性拟合法,即在离散域情况下,利用已知的状态序列来构建系统矩阵与模型响应之间呈线性关系的目标函数,从而使非线性最小二乘问题转化为线性最小二乘问题.应用该方法建立某型涡扇发动机的小偏差状态变量模型,并与非线性拟合法进行了对比研究,结果表明该方法不仅避免了初值问题,而且具有较高的建模精度,从而验证了该方法的有效性.
- 航空发动机状态变量模型 /
- 线性最小二乘 /
- 初值问题 /
- 线性拟合法 /
- 离散域
Abstract: According to the initial value problem in establishment of aero-engine small perturbation state variable model based on nonlinear fitting method,a linear fitting method against this problem was proposed.The objective function,in which the model outputs are linear functions of system matrix,was constructed by means of the known state sequences in discrete domain,resulting in transformation from nonlinear least square problem to linear least square problem.The method was applied to establish the small perturbation state variable model for a turbofan engine and then compared with nonlinear fitting method.The results show that its effectiveness not only avoids the initial value problem but also obtains better modeling precision.
- aero-engine state variable model /
- linear least square /
- initial value problem /
- linear fitting method /
- discrete domain

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参考文献(13)

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