Research on System Identification Based on Modeling Accuracy

基于建模精度的系统辨识研究

• 批准号: 10650432
• 负责人: UOSAKI Katsuji
• 金额: $ 2.11万
• 依托单位: TOTTORI UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10650432/
• 关键词: System Identification; Recursive Estimation; Stochastic Approximation; Nonlinear Systems; Change Detection; Random Varying Truncations; 収束性解析

Generally speaking, identification error should be minimized in system identification. The error comes from several sources, such as observation error and computation error. In this research, such identification errors have been discussed and a novel identification approach has been considered and some applications of identification have been discussed..1. Analysis of identification errorsComputation error in system identification has been discussed using the idea of interval arithmetic. Based on the analysis, an identification approach has been developed, of which applicability will be considered in the future.2. Recursive estimation based on stochastic approximation Stochastic approximation method to estimate the time-varying root of the regression function has been discussed. To improve its convergence, a transformation function for residuals is constructed using the empirical distribution of the residuals. The idea of random varying truncations is applied to relax the convergence conditions. These ideas are applied to design nonlinear filters.3. Change detection in systems with uncertaintyChange detection has been discussed for the systems with model uncertainty, which is caused by identification error.

一般来说，在系统识别中应尽量减少识别误差。误差的来源有观测误差和计算误差。在本研究中，讨论了这种识别误差，并考虑了一种新的识别方法，并讨论了识别的一些应用。辨识误差分析利用区间算法的思想讨论了系统辨识中的计算误差。在此基础上，提出了一种识别方法，今后将考虑其适用性。讨论了随机逼近法估计回归函数时变根的方法。为了提高其收敛性，利用残差的经验分布构造了残差的变换函数。采用随机变截断的思想放宽了收敛条件。将这些思想应用于非线性滤波器的设计。不确定性系统中的变化检测本文讨论了由辨识误差引起的模型不确定性系统的变化检测问题。

项目成果

T.Hatanaka: "Frequency domain approach to optimal auxiliary input design for fault diagnosis"Proc.European Control Conference. (1999)

T.Hatanaka：“用于故障诊断的最佳辅助输入设计的频域方法”Proc.European Control Conference。

T.Hatanaka: "Optimal auxiliary input design for fault diagnosis"14th IFAC World Congress. H. 91-96 (1999)

T.Hatanaka：“故障诊断的最佳辅助输入设计”第14届IFAC世界大会。

HATANAKA, Toshiharu: "Frequency domain approach to optimal auxiliary input design for fault diagnosis"Proc.European Contr.Conf.(ECC'99). AP5-4-4. (1999)

HATANAKA、Toshiharu：“用于故障诊断的最佳辅助输入设计的频域方法”Proc.European Contr.Conf.(ECC99)。

HATANAKA, Toshiharu: "Optimal auxiliary input design for fault detection of systems with model uncertainty"Proc.IFAC SYSID 2000. ThAM4-3. (2000)

HATANAKA、Toshiharu：“具有模型不确定性的系统故障检测的最佳辅助输入设计”Proc.IFAC SYSID 2000。ThAM4-3。

K.Uosaki: "Stochastic approximation type nonlinear filter with randomly varying truncations"Proc.IFAC SYSID 2000. FrPM-2-2 (2000)

K.Uosaki：“具有随机变化截断的随机近似型非线性滤波器”Proc.IFAC SYSID 2000. FrPM-2-2 (2000)