不确定线性离散系统的保性能预见重复控制  

Guaranteed Cost Preview and Repetitive Control for Uncertain Linear Discrete Systems

作　　者：兰永红[1] 刘丽 夏君君 LAN Yong-hong;LIU Li;XIA Jun-jun(School of information engineering,Xiangtan University,Xiangtan 411105,China)

机构地区：[1]湘潭大学信息工程学院

出　　处：《控制工程》2019年第12期2284-2290,共7页Control Engineering of China

基　　金：国家自然科学基金资助项目(61573298);湖南省教育厅优秀青年项目(15B238)

摘　　要：针对一类具有外部干扰的不确定线性离散系统,提出一种具有预见信息补偿的保性能重复控制器设计方法。为提高跟踪精度,在前向通道引入重复控制器,并利用差分算子,获得包含目标值信号和干扰信号的预见信息的增广误差系统。在此基础上,将保性能预见重复控制问题转化为一类线性离散系统的保性能控制问题。进一步,利用Lyapunov方法和线性矩阵不等式处理技巧及保性能控制器的设计方法,得到离散系统的稳定性条件。最后用数值仿真验证所提方法的有效性。For a class of uncertain linear discrete systems with external disturbances, a design method of guaranteed cost repetitive controller with preview compensation is proposed. In order to improve the tracking precision, the repetitive controller is introduced in the forward channel, and the augmented error system that includes the preview information of the target signal and the disturbance signal is obtained by using the difference operator. On the basis of this, the guaranteed cost preview repetitive control problem is transformed into a guaranteed cost control problem for a class of linear discrete systems. Furthermore, the design method of the guaranteed cost controller is obtained by using the Lyapunov method and the linear matrix inequality techniques. Finally, the effectiveness of the proposed method is verified by a numerical example.

关 键 词：离散系统 预见控制 重复控制 线性矩阵不等式 保性能 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]