Design of an Iterative Learning Control Law for a Class of Switched Repetitive Systems

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• 作者：Zhen Shao ; Zhengrong Xiang
• 关键词：Iterative learning control ; Switched systems ; 2D systems ; Time ; varying delays ; \({l_2}\) ; Gain performance ; Average dwell time ; Tracking
• 刊名：Circuits, Systems, and Signal Processing
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：36
• 期：2
• 页码：845-866
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Circuits and Systems; Electrical Engineering; Signal,Image and Speech Processing; Electronics and Microelectronics, Instrumentation;
• 出版者：Springer US
• ISSN：1531-5878
• 卷排序：36

文摘

This paper is concerned with the design of an iterative learning control (ILC) law, which is developed to improve the tracking performance of a class of switched repetitive systems with time-varying delay. Firstly, the ILC scheme is introduced and a two-dimensional (2D) switched model is proposed to describe the switched repetitive system. Secondly, sufficient conditions for the exponential stability with \({l_2}\)-gain performance of the 2D switched system are derived by choosing a Lyapunov–Krasovskii functional. The ILC gains are then obtained by solving a set of linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.