摘要
针对一类线性离散系统,提出一种基于二维模型的非脆弱离散重复控制设计方法.通过独立地考虑重复控制系统的控制与学习行为,建立离散重复控制系统的二维模型.在此基础上,针对重复控制器和反馈控制器具有不确定性的离散重复控制系统,给出了基于线性矩阵不等式的系统稳定性条件和重复控制律.最后,数值仿真实例验证了所提方法的有效性.
A design method for a non-fragile repetitive control based on two-dimensional model is proposed for a class of linear discrete-time systems.The characteristics of the control and learning processes is considered to establish a two-dimensional model for the discrete repetitive control systems.Then,the stability condition and the non-fragile repetitive control law for the discrete repetitive control system with the uncertainties in the repetitive controller and feedback controller are obtained in terms of the linear matrix inequality.Finally,a numerical example is given to verify the effectiveness of the proposed method.
出处
《系统科学与数学》
CSCD
北大核心
2010年第6期840-849,共10页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(60674016)
湖南省教育厅科研项目(08C090)资助
关键词
离散系统
重复控制
二维系统
非脆弱控制
线性矩阵不等式
Discrete-time systems
repetitive control
two-dimensional systems
nonfragile control
linear matrix inequality
