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

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Abstract

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.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant No. 61273120.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Zhen Shao & Zhengrong Xiang

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  1. Zhen Shao
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  2. Zhengrong Xiang
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Correspondence to Zhengrong Xiang.

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Shao, Z., Xiang, Z. Design of an Iterative Learning Control Law for a Class of Switched Repetitive Systems. Circuits Syst Signal Process 36, 845–866 (2017). https://doi.org/10.1007/s00034-016-0331-6

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  • DOI: https://doi.org/10.1007/s00034-016-0331-6

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