| 引用本文: | 谢春利,邵诚,赵丹丹.一类非线性系统基于最小二乘支持向量机的自适应H∞控制[J].控制理论与应用,2011,28(7):1031~1035.[点击复制] |
| XIE Chun-li,SHAO Cheng,ZHAO Dan-dan.Adaptive H-infinity control of a class of nonlinear systems based on least squares support-vector-machines[J].Control Theory and Technology,2011,28(7):1031~1035.[点击复制] |
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| 一类非线性系统基于最小二乘支持向量机的自适应H∞控制 |
| Adaptive H-infinity control of a class of nonlinear systems based on least squares support-vector-machines |
| 摘要点击 1679 全文点击 1366 投稿时间：2010-03-09 修订日期：2010-07-03 |
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| DOI编号 10.7641/j.issn.1000-8152.2011.7.CCTA100220 |
| 2011,28(7):1031-1035 |
| 中文关键词 最小二乘支持向量机 非线性系统 自适应控制 H∞控制 |
| 英文关键词 least squares support-vector-machines nonlinear systems adaptive control H-infinity control |
| 基金项目 国家重点基础研究发展计划“973”计划资助项目(2007CB714006); 中央高校基本科研业务费专项资金资助项目(DC10040101). |
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| 中文摘要 |
| 提出一类非线性不确定系统基于最小二乘支持向量机的自适应H∞控制方法. 该方法基于最小二乘支持向量机估计对象的未知非线性函数, 并给出了最小二乘支持向量机权向量和偏移值的在线学习规则. 引入H∞控制器用于减弱外部干扰及最小二乘支持向量机近似误差对输出误差的影响. 利用李亚普诺夫理论证明了整个闭环系统一致最终有界稳定. 仿真结果表明了该方法的有效性. |
| 英文摘要 |
| An adaptive H-Infinity control based on least squares support-vector-machines(LS–SVM) is presented for a class of nonlinear uncertain systems. In this method, the LS–SVM is employed to approximate unknown nonlinear functions in the plant; and the online learning rule for the weighting vector and the bias is derived. H-infinity control is used to attenuate the tracking error caused by LS–SVM approximation and external disturbance. Lyapunov theory is used to prove the uniform ultimate bounded stability of the close-loop system. Numerical simulations are presented to show the effectiveness of the proposed method. |