| 基于Kp=L2D2S2分解的多变量模型参考自适应控制 |
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| 引用本文： | 解学军, 孙宗耀. 基于Kp=L2D2S2分解的多变量模型参考自适应控制. 自动化学报, 2005, 31(5): 793-798. |
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| 作者姓名： | 解学军 孙宗耀 |
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| 作者单位： | 1.Institute of Automation, Qufu Normal University, Qufu 273165 |
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| 基金项目： | Supported by National Natural Science Foundation of P.R. China （60304003）, Doctoral Foundation of Shandong Province （03BS092）,and Natural Science Foundation of Shandong Province （Q2002G02） |
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| 摘 要： | For a class of MIMO plants, using the idea of the high-frequency gain matrix Kp = L2D2S2 factorization, the problem of design and analysis for MRAC is further investigated under the single assumption of known signs of the leading principal minors of Kp. By proving the Lp and L2 relationship properties between the input and the output and the multivariable swapping lemmas, the relation between all the signals in the closed-loop system and the normalized signal is obtained and the stability and tracking performance of the adaptive system is analyzed rigorously, the proof procedure being more compact.
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| 关 键 词： | MRAC normalizing signal MIMO systems Kp = L2D2S2 factorization |
| 收稿时间： | 2005-02-03 |
| 修稿时间： | 2005-06-25 |
Multivariable Model Reference Adaptive Control Using Kp = L2D2S2 Factorization |
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| XIE Xue-Jun, SUN Zong-Yao. Multivariable Model Reference Adaptive Control Using Kp = L2D2S2 Factorization. ACTA AUTOMATICA SINICA, 2005, 31(5): 793-798. |
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| Authors: | XIE Xue-Jun SUN Zong-Yao |
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| Affiliation: | 1. Institute of Automation, Qufu Normal University, Qufu 273165 |
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| Abstract: | For a class of MIMO plants, using the idea of the high-frequency gain matrix Kp = L2D2S2 factorization, the problem of design and analysis for MRAC is further investigated under the single assumption of known signs of the leading principal minors of Kp. By proving the Lp and L2 relationship properties between the input and the output and the multivariable swapping lemmas, the relation between all the signals in the closed-loop system and the normalized signal is obtained and the stability and tracking performance of the adaptive system is analyzed rigorously, the proof procedure being more compact. |
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| Keywords: | MRAC normalizing signal MIMO systems Kp = L2D2S2 factorization |
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