Volume 30, Issue 12 pp. 1714-1732
Research Article

Parameter-dependent Lyapunov function-based robust iterative learning control for discrete systems with actuator faults

Jian Ding

Jian Ding

Institute of Control Technology, Wuxi Institute of Technology, Wuxi, 214122 China

Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, 214122 China

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Blazej Cichy

Blazej Cichy

Institute of Control and Computation Engineering, University of Zielona Gora, ul. Podgorna 50, Zielona Gora, 65-246 Poland

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Krzysztof Galkowski

Corresponding Author

Krzysztof Galkowski

Institute of Control and Computation Engineering, University of Zielona Gora, ul. Podgorna 50, Zielona Gora, 65-246 Poland

Correspondence to: Krzysztof Galkowski, Institute of Control and Computation Engineering, University of Zielona Gora, ul. Podgorna 50, 65-246 Zielona Gora, Poland.

E-mail: [email protected]

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Eric Rogers

Eric Rogers

Department of Electronics and Computer Science, University of Southampton, Southampton SO17 1BJ, UK

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Huizhong Yang

Huizhong Yang

Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, 214122 China

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First published: 29 March 2016
Citations: 9

Summary

This paper considers iterative learning control for a class of uncertain multiple-input multiple-output discrete linear systems with polytopic uncertainties and actuator faults. The stability theory for linear repetitive processes is used to develop control law design algorithms that can be computed using linear matrix inequalities. A class of parameter-dependent Lyapunov functions is used with the aim of enlarging the allowed polytopic uncertainty range for successful design. The effectiveness and feasibility of the new design algorithms are illustrated by a gantry robot case study. Copyright © 2016 John Wiley & Sons, Ltd.

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