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态空间系统的梯度优化辨识及收敛性分析

衷路生 樊晓平 杨辉 瞿志华 齐叶鹏 颜争

计算机应用研究2011,Vol.28Issue(4):1238-1241,4.
计算机应用研究2011,Vol.28Issue(4):1238-1241,4.DOI:10.3969/j.issn.1001-3695.2011.04.009

态空间系统的梯度优化辨识及收敛性分析

Gradient optimization identification for state-space systems and convergence analysis

衷路生 1樊晓平 2杨辉 1瞿志华 2齐叶鹏 1颜争2

作者信息

  • 1. 中南大学,信息科学与工程学院,长沙,410083
  • 2. 华东交通大学,电气与电子工程学院,南昌,330013
  • 折叠

摘要

Abstract

In order to solve the problem which was caused by the nonlinearity and nonconvexity between the output error and the system parameters in state-space model, proposed a gradient optimization identification for parameter estimation of state-space systems. Analyzed the principle of gradient identification based on local linearization. Moreover, determined the parameter search direction based on the QR and SVD methods. And gave the iterative identification algorithm for parameter estimation.Furthermore, analyzed the convergence of the identification algorithm and also gaven the analytic expression of the convergence rate of the identification algorithm. Finally, the effectiveness of the proposed method is illustrated by numerical simulation.

关键词

系统辨识/状态空间系统/梯度优化/收敛性分析

Key words

system identification/ state-space systems/ gradient optimization/ convergence analysis

分类

信息技术与安全科学

引用本文复制引用

衷路生,樊晓平,杨辉,瞿志华,齐叶鹏,颜争..态空间系统的梯度优化辨识及收敛性分析[J].计算机应用研究,2011,28(4):1238-1241,4.

基金项目

国家自然科学基金资助项目(60870010,60864004,60904049) (60870010,60864004,60904049)

国家"863"计划资助项目(2008AA04Z129) (2008AA04Z129)

计算机应用研究

OA北大核心CSCDCSTPCD

1001-3695

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