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Zoning-based combined approximate model building method

An approximate model and linear technology, applied in CAD numerical modeling, special data processing applications, instruments, etc., can solve problems such as reduced prediction accuracy

Inactive Publication Date: 2016-08-03
BEIHANG UNIV
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Problems solved by technology

Then, if the combined approximate model is still established for the entire test area, the prediction accuracy of the established model in these local areas will be greatly reduced

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  • Zoning-based combined approximate model building method
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  • Zoning-based combined approximate model building method

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[0038] Table 1 lists three typical analytical relations of test functions. They mainly exhibit linear, low-order nonlinearity, and high-order nonlinear characteristics (such as figure 2 ). Three test functions are used to test the method proposed by the present invention.

[0039] Table 1 Three typical test functions

[0040]

[0041] For each test function, 24 sample points are arranged in the test area using the uniform test design method. At the same time, the whole test area is divided into 4 parts, each part contains 6 sample points. In order to test the prediction accuracy of the combined approximate model, 100 test points are arranged in the test area. The number of sample points and the test area are shown in Table 2.

[0042] Table 2 Number of sample points and test area

[0043]

[0044] According to the method for constructing the combined approximate model in the content of the invention, the entire test area is divided into 4 sub-areas, and the combined approximate ...

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Abstract

The invention relates to a zoning-based combined approximate model building method which has high adaptability to unknown linear and nonlinear problems. The zoning-based combined approximate model building method is characterized in that a combined approximate model is built under the condition that the input values and the output values of a certain number groups are given to approximate the input and output analytic relation of a system, and the output of the system is forecasted under the condition that the input of the system is given. The zoning-based combined approximate model building method is mainly applied to approximation of the functional relation between optimization objectives and variables during optimal design. As for the problem that the strong linear or nonlinear features of local areas cannot be well captured because traditional approximate models adopt modeling on the whole test area, the concept of modeling by dividing the whole test area is adopted. On one hand, the precision forecasting advantage of the combined approximate model to a single approximate model is utilized, and on the other hand, the purpose of improving the forecasting precision to the local area is achieved, so that the overall forecasting precision of the model is improved. Therefore, the computing time and resources, consumed by iterative optimal solution solving, can be greatly shortened and reduced in the optimization process.

Description

Technical field [0001] The invention relates to a method for establishing a combined approximation model with high adaptability to linear and nonlinear unknown problems. The method is to approximate the input of the system by establishing a combined approximation model given a certain number of input and output values. With the output analytical relationship, the output of the system is predicted when the input of the system is known. It is mainly used to approximate the functional relationship between optimization objectives and variables during optimization design. Background technique [0002] Optimal design has been widely used in various fields of industry. In optimization problems, the analytical relationship between optimization goals and optimization variables is often not directly obtained by engineers in the optimization process. Therefore, a certain number of sample points are arranged in a given test area and a certain number of groups are collected. The variables (...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/367G06F2111/06G06F2111/10
Inventor 李秋实潘天宇鹿哈男宫建
Owner BEIHANG UNIV
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