A symbolic procedure for construction of multipurpose-oriented aircraft LFR model with low order and high precision

多用途飞机低阶高精度LFR模型构建的符号流程

• 批准号: 22560451
• 负责人: XU Li
• 金额: $ 2.83万
• 依托单位: Akita Prefectural University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22560451/
• 关键词: 多次元システム; 線形分数表現(LFR); 線形分数変換(LFT); 状態空間実現; 線形分数表現（LFR）; 線形分数変換（LFT); 行列基本変換; 航空機制御; ロバスト制御; モデリング; 変動システム

In order to improve the development efficiency of aircraft control systems, a new approach for LFR uncertainty modeling has been established by utilizing symbolic techniques, which can generate an LFR model with low order, high precision and can adjust its complexity according to different specifications or purposes. In particular, a constructive LFR realization procedure has first been proposed based on the polynomial matrix elementary operation technique which can treat, in a unified way, all the independent variables, uncertain parameters and the symbolic coefficients in the given uncertain system. Then, methods and the corresponding algorithms for construction of LFR model for a large-scale and complicated system, e.g., an aircraft control system, have been shown by first reducing the original LFR realization problem into several sub-problems with smaller sizes and less dimensions and then combining the results obtained for the sub-problems to achieve the desired overall LFR realization. Finally, an elementary operation approach to order reduction for LFR has also been proposed to obtain an LFR with possibly lower order.

为了提高飞机控制系统的开发效率，利用符号技术建立了一种新的LFR不确定性建模方法，可以生成低阶、高精度的LFR模型，并可以根据不同的规格或目的调整其复杂度。 。特别是，首先提出了一种基于多项式矩阵初等运算技术的构造性LFR实现过程，可以统一处理给定不确定系统中的所有自变量、不确定参数和符号系数。然后，通过首先将原始LFR实现问题简化为多个更小尺寸和更少维数的子问题，展示了针对大型复杂系统（例如飞机控制系统）构建LFR模型的方法和相应算法然后结合子问题获得的结果以实现所需的总体 LFR 实现。最后，还提出了一种 LFR 降阶的基本运算方法，以获得可能具有较低阶数的 LFR。

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