几类离散系统的迭代学习控制

发布时间：2018-03-18 14:07

本文选题：学习律　切入点：迭代学习控制　出处：《苏州科技大学》2017年硕士论文　论文类型：学位论文

【摘要】：本文研究三类系统的迭代学习控制问题。该三系统分别是:一类一般形式的2-D连续-离散系统、一类广义正则线性离散时间系统和一类二阶双曲型分布参数系统。内容如下:第一章简述迭代学习控制的历史,提出研究离散系统的目的和意义。第二章研究一类具有一般形式的2-D连续-离散系统的迭代学习控制问题。通过构建向量、矩阵新的运算处理方法,根据迭代收敛性质,证明系统的输出收敛到期望输出。第三章研究一类广义正则线性离散时间系统的迭代学习控制问题。借助于矩阵奇异值分解,将该系统转化为等价的微分代数系统,再利用迭代矩阵的谱半径小于1,得到系统输出收敛到期望输出的一个充要条件。第四章研究一类二阶双曲型分布参数系统基于有限差分法的迭代学习控制问题。通过构建系统状态的准确解与有限差分解之间的关联,并借助于有限差分解沿迭代轴的收敛性,由此说明系统的状态沿迭代轴收敛于期望轨迹的状态。第五章总结本文研究结果,进一步提出需要研究的几个问题。
[Abstract]:In this paper, the iterative learning control problems for three kinds of systems are studied. The three systems are: a general form of 2-D continuous-discrete systems, A class of generalized regular linear discrete-time systems and a class of second-order hyperbolic distributed parameter systems. The contents are as follows: in Chapter 1, the history of iterative learning control is briefly described. In chapter 2, we study the iterative learning control problem for a class of 2-D continuous-discrete systems with general form. It is proved that the output of the system converges to the expected output. In chapter 3, the iterative learning control problem for a class of generalized regular linear discrete-time systems is studied. By means of singular value decomposition of matrices, the system is transformed into an equivalent differential-algebraic system. Then a necessary and sufficient condition for the output of the system to converge to the desired output is obtained by using the spectral radius of the iterative matrix less than 1. Chapter 4th deals with the iterative learning control problem for a class of second order hyperbolic distributed parameter systems based on the finite difference method. By constructing the correlation between the exact solution of the system state and the finite difference decomposition, With the help of the convergence of finite difference decomposition along the iterative axis, it is shown that the state of the system converges to the desired trajectory along the iterative axis. Chapter 5th summarizes the results of this paper and further puts forward several problems that need to be studied.
【学位授予单位】：苏州科技大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O231

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