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.[点击复制] |
ZHANG Zheng-qiang, XIE Xue-jun, ZHANG Si-ying.Multivariable model reference adaptive control using matrix factorization[J].Control Theory and Technology,2004,21(6):986~988.[点击复制] |
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矩阵分解的多变量模型参考自适应控制 |
Multivariable model reference adaptive control using matrix factorization |
摘要点击 1793 全文点击 1303 |
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DOI编号 10.7641/j.issn.1000-8152.2004.6.030 |
2004,21(6):986-988 |
中文关键词 模型参考自适应控制 多变量系统 高频增益矩阵 |
英文关键词 model reference adaptive control(MRAC) multivariable systems high-frequency gain matrix |
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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中文摘要 |
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 |
英文摘要 |
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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