多变量系统的基于矩阵$K_{P}=LDU$分解的鲁棒模型参考自适应控制

doi:10.12341/jssms08354

系统科学与数学 ›› 2006, Vol. 26 ›› Issue (2): 206-216.DOI: 10.12341/jssms08354

多变量系统的基于矩阵$K_{P}=LDU$分解的鲁棒模型参考自适应控制

解学军,张正强

曲阜师范大学自动化研究所,曲阜 273165

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-04-25 发布日期:2006-04-25

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解学军;张正强. 多变量系统的基于矩阵$K_{P}=LDU$分解的鲁棒模型参考自适应控制[J]. 系统科学与数学, 2006, 26(2): 206-216.

Xie Xuejun;Zhang Zhengqiang. Robust Model Reference Adaptive Control Using Matrix Factorization For Multivariable Systems[J]. Journal of Systems Science and Mathematical Sciences, 2006, 26(2): 206-216.

Robust Model Reference Adaptive Control Using Matrix Factorization For Multivariable Systems

Xie Xuejun,Zhang Zhengqiang

Institute of Automation, Qufu Normal University, Qufu 273165

Received:1900-01-01 Revised:1900-01-01 Online:2006-04-25 Published:2006-04-25

本文针对具有未建模动态的多变量系统,研究了基于高频增益矩阵$K_{P}=LDU$ 分解的鲁棒直接型模型参考自适应控制问题, 严格地分析了闭环系统的稳定性和鲁棒性.

关键词： 鲁棒模型参考自适应控制, 多变量系统, 未建模

In this paper, for multivariable systems with unmodeled dynamics, the problem of robust direct model reference adaptive control using high frequency gain matrix $K_{P}=LDU$ factorization is studied, and the stability and robustness of the closed-loop system are analyzed rigorously.

Key words: RMRAC, multivariable systems, unmodeled dynamics, high-frequency gain matrix, $LDU$ factorization

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