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| 基于Shifted Legendre正交多项式的迭代学习控制方法 | |
| 引用本文： | 张丽萍,杨富文. 基于Shifted Legendre正交多项式的迭代学习控制方法[J]. 系统工程与电子技术, 2005, 27(3): 483-485 |
| 作者姓名： | 张丽萍 杨富文 |
| 作者单位： | 1. 福州大学机械工程及自动化学院,福建,福州,350002 2. 福州大学电气工程及自动化学院,福建,福州,350002 |
| 基金项目： | 国家自然科学基金(60474049)，福建省自然科学基金(A0410012)资助课题 |
| 摘 要： | 考虑用迭代学习控制方法来解决一类线性时变连续系统的终端控制问题。运用ShiftedLegendre正交多项式的展开技术,利用其正交性和边值条件,将线性时变系统的微分方程转化为代数方程,避免了在判断误差收敛条件的过程中求解线性时变系统状态转移矩阵。并采用高阶学习律来求控制输入的ShiftedLegendre系数向量,仿真实例验证了该方法的有效性。 |
| 关 键 词： | 迭代学习控制 终端控制 正交多项式 |
| 文章编号： | 1001-506X(2005)03-483-03 |
| 修稿时间： | 2003-12-02 |
Iterative learning control based on Shifted Legendre orthogonal polynomials |
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| ZHANG Li-ping,YANG Fu-wen. Iterative learning control based on Shifted Legendre orthogonal polynomials[J]. System Engineering and Electronics, 2005, 27(3): 483-485 | |
| Authors: | ZHANG Li-ping YANG Fu-wen |
| Affiliation: | ZHANG Li-ping~1,YANG Fu-wen~2 |
| Abstract: | An iterative learning control (ILC) algorithm based on Shifted Legendre orthogonal polynomials is presented to address the terminal control problem of a linear time-varying systems. By employing the orthogonality relations and boundary values of Shifted Legendre polynomials, the differential equations are converted into a set of linear algebraic equations, and the control problem is reduced to finding the Shifted Legendre polynomials coefficients of control variable. So the method avoids computing the state transfer matrix, and the coefficients are determined iteratively by a high order learning algorithm. Simulation results show the effectiveness of the proposed iterative learning scheme. |
| Keywords: | iterative learning control terminal control orthogonal polynomials |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |