| 基于Kp = LDU分解的多变量离散时间系统鲁棒模型参考自适应控制 |
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| 引用本文： | 李俊领,陈 伟,邵长彬.基于Kp = LDU分解的多变量离散时间系统鲁棒模型参考自适应控制[J].控制理论与应用,2009,26(6):595-600. |
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| 作者姓名： | 李俊领 陈 伟 邵长彬 |
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| 作者单位： | 曲阜师范大学 自动化研究所, 山东 曲阜 273165;曲阜师范大学 自动化研究所, 山东 曲阜 273165;曲阜师范大学 自动化研究所, 山东 曲阜 273165 |
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| 基金项目： | 国家自然科学基金资助项目(60774010); 2005年度教育部新世纪优秀人才支持计划资助课题(NCET–05–0607). |
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| 摘 要： | 针对具有未建模动态且相对阶大于1的一类多变量离散时间系统, 利用其高频增益矩阵分解建立新的参数模型, 在较弱假设下, 进一步研究了直接型鲁棒模型参考自适应控制问题. 由离散时间系统的交换引理, 建立了闭环系统的所有信号与规范化信号的联系. 以一种系统化的方法, 严格地分析了闭环系统的稳定性与鲁棒性.
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| 关 键 词： | 模型参考自适应控制 动态规范化信号 多变量离散时间系统 LDU分解 |
| 收稿时间： | 2007/9/30 0:00:00 |
| 修稿时间： | 1/4/2009 12:00:00 AM |
Robust model-reference adaptive control using Kp = LDU factorization for multivariable discrete-time systems |
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| LI Jun-ling,CHEN Wei and SHAO Chang-bin.Robust model-reference adaptive control using Kp = LDU factorization for multivariable discrete-time systems[J].Control Theory & Applications,2009,26(6):595-600. |
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| Authors: | LI Jun-ling CHEN Wei and SHAO Chang-bin |
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| Affiliation: | Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China;Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China;Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China |
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| Abstract: | For a class of multivariable discrete-time systems with unmodeled dynamics and a relative order greater than one, we develop the parametric models by factorizing the gain matrix in high frequencies. Based on these models, we design a direct robust model-reference adaptive controller under the weak assumptions. By the swapping lemmas for the discrete-time systems, we establish the relations among all signals in the closed-loop with the normalized signals. The stability and robustness of the closed-loop system are analyzed rigorously in a systematic way. |
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| Keywords: | model-reference adaptive control dynamically normalized signal multivariable discrete-time systems LDU factorization |
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