| 矩阵分解的多变量模型参考自适应控制 |
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| 引用本文： | 张正强,解学军,张嗣瀛.矩阵分解的多变量模型参考自适应控制[J].控制理论与应用,2004,21(6):986-988. |
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| 作者姓名： | 张正强 解学军 张嗣瀛 |
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| 作者单位： | 1. 曲阜师范大学,自动化研究所,山东,曲阜273165
2. 东北大学,信息科学与工程学院,辽宁,沈阳,110004 |
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| 基金项目： | 国家自然科学基金项目 (60304003); 山东省自然科学基金项目 (Q2002G02); 山东省中青年科学家科研奖励基金项目 (03BS092). |
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| 摘 要： | 研究了基于高频增益矩阵分解的多变量模型参考自适应控制 .为此首先基于矩阵分解构造出新的参数化方程 ,选取必然等价自适应控制律 .然后 ,引入规范化信号和类Lyapunov函数 ,获得了规范化自适应律 .并进一步给出了虚拟规范化信号的有用性质 .最后 ,严格地给出了闭环系统的稳定性和收敛性分析
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| 关 键 词： | 模型参考自适应控制 多变量系统 高频增益矩阵 |
| 文章编号： | 1000-8152(2004)06-0986-03 |
Multivariable model reference adaptive control using matrix factorization |
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| ZHANG Zheng-qiang,XIE Xue-jun,ZHANG Si-ying.Multivariable model reference adaptive control using matrix factorization[J].Control Theory & Applications,2004,21(6):986-988. |
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| Authors: | ZHANG Zheng-qiang XIE Xue-jun ZHANG Si-ying |
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| Affiliation: | Institute of Automation,Qufu Normal University,Qufu Shandong 273165,China; Department of Information Science and Engineering,Northeastern University,Shenyang Liaoning 110004,China |
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| Abstract: | Multivariable model reference adaptive control using high frequency gain matrix factorization is studied.First,a new type of parameterization equation is constructed based on matrix factorization and the certainty-equivalence adaptive control law is chosen.Then,by introducing the normalizing signal and Lyapnov-like function,the adaptive laws with normalization are derived.Third,some useful properties of fictitious normalizing signal are proposed.Finally,the stability and convergence analysis of the closed-loop system is provided. |
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| Keywords: | model reference adaptive control(MRAC) multivariable systems high-frequency gain matrix |
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