| 非线性抛物型偏差分系统迭代学习控制 |
| |
| 引用本文： | 戴喜生,郭亚君,田森平,李克讷.非线性抛物型偏差分系统迭代学习控制[J].控制理论与应用,2015,32(12):1607-1612. |
| |
| 作者姓名： | 戴喜生 郭亚君 田森平 李克讷 |
| |
| 作者单位： | 广西科技大学,广西科技大学,华南理工大学,广西科技大学 |
| |
| 基金项目： | 国家自然科学基金项目(61364006, 61374104), 广西优秀中青年骨干教师培养工程, 广西高等学校科研一般项目(2013YB175)资助. |
| |
| 摘 要： | 本文研究了一类时空离散的非线性抛物型偏差分系统的迭代学习控制问题.首先,针对系统含有不确定系数与非线性特点,设计了开环P型迭代学习控制算法;然后,建立了输出跟踪误差沿迭代轴收敛的充分条件,并利用离散Gronwall不等式、λ范数以及压缩映射原理,详细给出了收敛性分析证明.最后通过仿真实例说明了算法的有效性.
|
| 关 键 词： | 迭代学习控制 收敛性分析 偏差分系统 非线性 |
| 收稿时间： | 2015/3/25 0:00:00 |
| 修稿时间： | 2015/6/20 0:00:00 |
Iterative learning control of nonlinear parabolic partial difference systems |
| |
| Dai Xi-sheng,GuoYajun,Tian Senping and Li kene.Iterative learning control of nonlinear parabolic partial difference systems[J].Control Theory & Applications,2015,32(12):1607-1612. |
| |
| Authors: | Dai Xi-sheng GuoYajun Tian Senping and Li kene |
| |
| Affiliation: | Department of Electronic Information and Control Engineer, Guangxi University of Technology,Guangxi University of Science and Technology,South China University of Technology,Guangxi University of Science and Technology |
| |
| Abstract: | The iterative learning control (ILC) technique is applied to a class of spatial-temporal discrete nonlinear
parabolic partial difference systems. For the discussion purpose, an open-loop P-type iterative learning algorithm is designed
for the systems containing uncertain coefficients and nonlinear terms. Then, the sufficient condition of the tracking
error to converge is established, and the convergence analysis is discussed using discrete Gronwall inequality, -norm and
the contraction mapping principle. Furthermore, a simulation example is given to illustrate the effectiveness of the proposed
algorithm. |
| |
| Keywords: | iterative learning control convergence analysis partial difference systems nonlinear |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《控制理论与应用》浏览原始摘要信息 |
|
点击此处可从《控制理论与应用》下载全文 |
|
