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矩阵二阶线性系统的鲁棒渐近跟踪

顾大可 段广仁

信息与控制2013,Vol.42Issue(2):181-188,8.
信息与控制2013,Vol.42Issue(2):181-188,8.DOI:10.3724/SP.J.1219.2013.00181

矩阵二阶线性系统的鲁棒渐近跟踪

Robust Asymptotic Tracking in Matrix Second-order Linear System

顾大可 1段广仁1

作者信息

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摘要

Abstract

Robust asymptotic tracking problem of second-order system with structural parameter uncertainties is inves tigated directly in the matrix second-order linear system framework. It is shown that the problem can be decomposed into two parts, that is, the design problems of robust feedback stabilizing and feed-forward tracking compensation controller. Based on eigenstructure assignment approach and the model reference tracking theory, a parametric design approach for ro bust feedback stabilizing and feed-forward tracking compensation controllers is proposed in the matrix second order system framework, and insightful parameterizations of the closed loop eigenvalues sensitivities to the perturbed elements in the open loop system matrices are obtained. Based on the above methods, a simple and effective algorithm is then proposed. All the design degrees of freedom are used to optimize the controller through the algorithm. Its effectiveness is verified by an spacecraft rendezvous example.

关键词

矩阵二阶线性系统/鲁棒渐近跟踪/参数化方法/模型参考跟踪

Key words

matrix second-order linear system/robust asymptotic tracking/parametric approach/model reference tracking

分类

信息技术与安全科学

引用本文复制引用

顾大可,段广仁..矩阵二阶线性系统的鲁棒渐近跟踪[J].信息与控制,2013,42(2):181-188,8.

基金项目

国家自然科学基金资助项目(61074111) (61074111)

东北电力大学博士科研启动基金资助项目(BSJXM-201105). (BSJXM-201105)

信息与控制

OA北大核心CSCDCSTPCD

1002-0411

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