| 离散重复控制系统设计的二维模型方法 |
| |
| 引用本文： | 袁松贵,周斌,叶青,雷辉.离散重复控制系统设计的二维模型方法[J].长沙理工大学学报(自然科学版),2012(1):60-65. |
| |
| 作者姓名： | 袁松贵 周斌 叶青 雷辉 |
| |
| 作者单位： | 长沙理工大学电气与信息工程学院 |
| |
| 基金项目： | 湖南省教育厅科研资助项目(08C087) |
| |
| 摘 要： | 针对一类线性不确定系统，提出了一种基于离散二维模型的重复控制系统设计方法,通过独立考虑重复控制系统的控制与学习行为，建立了离散重复控制系统的二维模型，构造二维状态反馈控制器，将离散重复控制系统设计问题转化为一类离散二维系统的设计问题，然后应用二维系统理论和线性矩阵不等式方法，分别获得了标称和不确定重复控制系统的稳定性条件，根据稳定性条件，通过求解线性矩阵不等式，求得重复控制器参数，最后数值仿真实例验证了本研究所提方法的有效性。
|
| 关 键 词： | 线性系统 离散重复控制 二维系统 线性矩阵不等式 |
Discrete-time repetitive control systems design method based on two-dimensional model |
| |
| YUAN Song-gui,ZHOU Bin,YE Qing,LEI Hui.Discrete-time repetitive control systems design method based on two-dimensional model[J].Journal of Changsha University of Science and Technology:Natural Science,2012(1):60-65. |
| |
| Authors: | YUAN Song-gui ZHOU Bin YE Qing LEI Hui |
| |
| Institution: | (School of Electrical and Information Engineering,Changsha University of Science and Technology,Changsha 410004,China) |
| |
| Abstract: | A novel design method for discrete-time repetitive control systems(RCS) was presented based on two-dimensional(2D) discrete-time model.Firstly,the 2D model of an RCS is established by considering both the control action and the learning action in an RCS.Then,through constructing a 2D state feedback controller,the design problem of the RCS is converted to the design problem of a 2D system.Then,using 2D system theory and linear matrix inequality(LMI) method,stability criterion is derived for the system without and with uncertainties,respectively.Parameters of the system can be determined by solving the LMI in the stability criterion.Finally,numerical simulations validate the effectiveness of the proposed method. |
| |
| Keywords: | linear systems discrete-time repetitive control two-dimensional systems linear matrix inequality |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
