Iterative learning control for a class of singular impulsive systems

ABSTRACT

In this paper, the iterative learning control problem for a class of nonlinear singular impulsive systems is discussed. Then, a D-type (derivative-type) iterative learning control algorithm is presented such that the output tracks the desired output trajectory as accurate as possible. Furthermore, the sufficient condition for the convergence of the proposed algorithm is established in detail. Finally, a numerical example is included to corroborate the theoretical analyses.

KEYWORDS:

• Iterative learning control
• nonlinear singular impulsive systems
• D-type learning algorithm
• convergence analysis

Acknowledgments

On the completion of my thesis, I would like to express my deepest gratitude to all those whose kindness and advice have made this work possible. I am greatly indebted to my advisor Senping Tian who gave me valuable instructions and has improved me in language. His effective advice, shrewd comments have kept the thesis in the right direction.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was supported by the National Natural Science Foundation of China [grant number 61374104], [grant number 61773170]; the Natural Science Foundation of Guangdong Province of China [grant number 2016A030313505].

Notes on contributors

Qian Liu

Qian Liu was born in 1992. She received her B.S. degree from Qufu Normal University, Qufu, China, in 2014, majoring in mathematics and applied mathematics. She devoted herself to applied mathematics in South China University of Technology, GuangZhou, China, in 2014-2015. She is currently pursuing his Ph.D. degree at the School of Automation Science and Engineering, South China University of Technology. Her research interest is iterative learning control.

Senping Tian

Senping Tian was born in 1961. He received his B.S. and M.S. degrees from Central China Normal University,Wuhan, China, in 1982 and 1988, respectively, and the Ph.D. degree from South China University of Technology, Guangzhou, China, in 1999. He has been a professor with School of Automation Science and Engineering, South China University of Technology, since 2008. His research interests include theory and algorithms on iterative learning control for nonlinear systems, optimization and control of large-scale systems, the stability and the qualitative theory of differential equations.

Panpan Gu

Panpan Gu was born in 1989. He received his B.S. degree from Chaohu University, Hefei, China, in 2013. He received his M.S. degree from Suzhou University of Science and Technology, Suzhou, China, in 2016. He is currently pursuing his Ph.D. degree at the School of Automation Science and Engineering, South China University of Technology. His research interest is iterative learning control.