| 一阶强双曲分布参数系统的迭代学习控制 |
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| 引用本文： | 戴喜生,田森平.一阶强双曲分布参数系统的迭代学习控制[J].控制理论与应用,2012,29(8):1086-1089. |
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| 作者姓名： | 戴喜生 田森平 |
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| 作者单位： | 1. 广西工学院电子信息与控制工程系,广西柳州545006;华南理工大学系统工程研究所,广东广州510640
2. 广西工学院电子信息与控制工程系,广西柳州,545006 |
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| 基金项目： | 国家自然科学基金资助项目(60674034); 广西高等学校科研资助项目(201203YB125). |
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| 摘 要： | 研究了一阶强双曲分布参数系统的迭代学习控制问题.首先利用Fourier变换和半群方法导出了系统状态的适应解.进而基于强双曲条件和Plancheral定理,在允许迭代过程中初值存在一定偏差条件下,给出并证明了系统在P型迭代学习控制算法下的收敛条件.最后应用实例说明了所提方法的有效性.
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| 关 键 词： | 迭代学习控制 一阶双曲系统 Fourier变换 |
| 收稿时间： | 5/5/2012 12:00:00 AM |
| 修稿时间： | 2012/6/13 0:00:00 |
Iterative learning control for first order strong hyperbolic distributed parameter systems |
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| DAI Xi-sheng and TIAN Sen-ping.Iterative learning control for first order strong hyperbolic distributed parameter systems[J].Control Theory & Applications,2012,29(8):1086-1089. |
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| Authors: | DAI Xi-sheng and TIAN Sen-ping |
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| Affiliation: | Department of Electronic Information and Control Eegineering, Guangxi University of Technology; Systems Engineering Institute, South China University of Technology,Systems Engineering Institute, South China University of Technology |
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| Abstract: | An iterative learning control problem for first order strong hyperbolic distributed parameter systems is discussed. By means of Fourier transform and semigroup method, system state mild solution is built. Then, based on the strong hyperbolic condition and Plancheral theorem in Hilbert space, convergence conditions are given under P-type iterative learning control algorithms, where it is permitted to that the initial value of system state has some error in the iterative process. An example illustrate the effectiveness of the proposed method. |
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| Keywords: | iterative learning control first order hyperbolic system Fourier transform |
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