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中文摘要：
针对一类线性系统,提出一种基于连续/离散二维混合模型的最优重复控制设计新方法.通过独立地考虑重复控制系统连续的控制行为与离散的学习行为,建立了重复控制系统的连续/离散二维混合模型,并将重复控制器设计问题转化为一类连续/离散二维系统的镇定问题.在此基础上,应用最优控制原理,对给定的性能指标泛函,获得了最优重复控制律.通过调节性能指标泛函中的相关参数,可以对控制和学习行为进行独立的调节.最后,通过数值仿真验证了所提方法的有效性.
英文摘要：
For a class of linear systems, this paper presents a new design method of optimal repetitive control based on hybrid continuousiscrete two-dimensional （2D） model. By independently analyzing the continuous control and discrete learning processes of repetitive control system, a hybrid continuous-discrete 2D model for the repetitive control system is established and the repetitive controller design problem is then converted into a stabilization problem of the continuous- discrete 2D systems. For the given performance index function, the optimal repetitive control law is obtained with optimal control theory. The control and learning processes can be adjusted independently by the parameters in the performance index function. Finally, the validity of the method is verified by a numerical example.
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