| 线性不确定系统的鲁棒D型迭代学习控制 |
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| 引用本文： | 兰永红,罗毅平.线性不确定系统的鲁棒D型迭代学习控制[J].系统科学与数学,2011,31(6). |
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| 作者姓名： | 兰永红 罗毅平 |
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| 作者单位： | 1. 湘潭大学信息工程学院湘潭411105
2. 湖南工程学院智能控制研究所湘潭411101 |
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| 基金项目： | 湖南省自然科学基金(10JJ8004); 湖南省高校创新团队项目资助课题 |
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| 摘 要： | 研究一类线性不确定系统的鲁棒D型迭代学习控制问题.首先针对一类线性标称控制对象,建立其迭代学习控制的二维模型;然后基于获得的二维模型,利用二维系统稳定性理论,获得系统在迭代初态与期望初态一致和不一致两种情形下的D型迭代学习控制律的存在条件和设计方法;进一步,将所得结果推广至控制对象包含不确定性的情形.所得结果以线性矩阵不等式(LMI)的形式给出,可以方便地利用Matlab中的LMI工具箱求解.最后,数值仿真实例验证了本文所提方法的有效性.
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| 关 键 词： | 线性系统 D型迭代学习控制 二维系统 线性矩阵不等式 |
ROBUST D-TYPE ITERATIVE LEARNING CONTROL OF LINEAR UNCERTAIN SYSTEMS |
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| LAN Yonghong,Luo Yiping.ROBUST D-TYPE ITERATIVE LEARNING CONTROL OF LINEAR UNCERTAIN SYSTEMS[J].Journal of Systems Science and Mathematical Sciences,2011,31(6). |
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| Authors: | LAN Yonghong Luo Yiping |
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| Institution: | LAN Yonghong (School of Information Engineering,Xiangtan University,Xiangtan 411105) LUO Yiping (Institute of Intelligent Control,Hunan Institute of Engineering,Xiangtan 411101) |
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| Abstract: | This paper is concerned with a robust D-type iterative learning control(ILC) method for a class of linear uncertain systems.First,a 2D model of ILC for a linear normal control plant is established.Next,based on 2D model and using the 2D systems stability theory, the existence condition and design method of a robust D-type iterative learning controller for such control system are derived with variable initial conditions.Furthermore,the results are extended to control lant with uncertainties.All the results a... |
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| Keywords: | Linear systems D-type iterative learning control 2-D systems linear matrix inequality(LMI) |
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