| 多变量离散时间系统的自适应LQ控制 |
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| 引用本文： | 解学军,王远.多变量离散时间系统的自适应LQ控制[J].控制理论与应用,2000,17(3):433-436. |
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| 作者姓名： | 解学军 王远 |
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| 作者单位： | 1. 山东省曲阜师范大学自动化研究所,曲阜,273165
2. 北京信息工程学院计算机信息系统系,北京,100101 |
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| 基金项目： | Foundationitem :supportedbytheNaturalScienceFundationofShandongProvince (Q99G0 4 ) . |
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| 摘 要： | 考虑了多变量离散系统的自适应ＬＱ（线性二次）控制问题，利用ＬＳ（最小二乘）算法和ＷＬＳ（加权最小二乘）算法的自收敛性和随机正则化的思想「１」，证明了修改的估计模型是几乎处处自收敛的、一致可控和一致可观的，基于上面的估计，提出了两种自适应ＬＱ控制律，证明了闭环系统是稳定的和最优的。
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| 关 键 词： | 自适应LQ控制 黎卡提方程 多变量离散时间系统 |
Discrete-Time Adaptive LQ Control for Multivariable Systems |
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| XIE Xuejun,WANG Yuan.Discrete-Time Adaptive LQ Control for Multivariable Systems[J].Control Theory & Applications,2000,17(3):433-436. |
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| Authors: | XIE Xuejun WANG Yuan |
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| Abstract: | Discrete time adaptive LQ (linear quadratic) control for multivariable systems is considered. Using self convergence of LS (least squares) algorithm, WLS (weighted least squares) algorithm and the idea of random regularization 1] , we first prove that the modified estimated model is almost surely self convergent, uniformly controllable and observable. Then we prove that two adaptive LQ control laws are stable and optimal. |
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| Keywords: | adaptive LQ control multivariable systems Riccati equation |
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