Robustness of iterative learning control for a class of fractional-order linear continuous-time switched systems in the sense of Lp norm

doi:10.21629/JSEE.2019.04.15

Journal of Systems Engineering and Electronics ›› 2019, Vol. 30 ›› Issue (4): 783-791.doi: 10.21629/JSEE.2019.04.15

• Control Theory and Application • Previous Articles Next Articles

Robustness of iterative learning control for a class of fractional-order linear continuous-time switched systems in the sense of L^p norm

Kejun ZHANG^1,²(), Guohua PENG^1,*()

¹ School of Natural and Applied Sciences, Northwestern Polytechnical University, Xi'an 710129, China
² School of Math and Physical Sciences, Xuzhou Institute of Technology, Xuzhou 221018, China

Received:2018-10-25 Online:2019-08-01 Published:2019-09-01
Contact: Guohua PENG E-mail:zhangkj2002@163.com;penggh@nwpu.edu.cn
About author:ZHANG Kejun was born in 1979. He received his M.S. degree in School of Natural and Applied Sciences from Northwestern Polytechnical University, Xi'an, China, in 2007. He is currently a doctoral student in School of Natural and Applied Sciences from Northwestern Polytechnical University, China. His research interests include intelligent control and iterative learning control. E-mail:zhangkj2002@163.com|PENG Guohua was born in 1962. He received his Ph.D. degree from Northwestern Polytechnical University, China, in 1993. Currently, he is a professor in School of Natural and Applied Sciences of Northwestern Polytechnical University. His major research interests are image processing, pattern recognition and intelligent control. E-mail:penggh@nwpu.edu.cn
Supported by:
the National Natural Science Foundation of China(61201323);the Special Fund Project for Promoting Scientific and Technological Innovation in Xuzhou City(KC18013);the Cultivation Project of Xuzhou Institute of Technology(XKY2017112);This work was supported by the National Natural Science Foundation of China (61201323), the Special Fund Project for Promoting Scientific and Technological Innovation in Xuzhou City (KC18013), and the Cultivation Project of Xuzhou Institute of Technology (XKY2017112)

Abstract

Abstract:

For a class of fractional-order linear continuous-time switched systems specified by an arbitrary switching sequence, the performance of PD^α-type fractional-order iterative learning control (FOILC) is discussed in the sense of L^p norm. When the systems are disturbed by bounded external noises, robustness of the PD^α-type algorithm is firstly analyzed in the iteration domain by taking advantage of the generalized Young inequality of convolution integral. Then, convergence of the algorithm is discussed for the systems without any external noise. The results demonstrate that, under some given conditions, both convergence and robustness can be guaranteed during the entire time interval. Simulations support the correctness of the theory.

Key words: fractional-order, switched systems, iterative learning control, L^p norm

Kejun ZHANG, Guohua PENG. Robustness of iterative learning control for a class of fractional-order linear continuous-time switched systems in the sense of L^p norm[J]. Journal of Systems Engineering and Electronics, 2019, 30(4): 783-791.

Figures/Tables 6

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References 37

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Robustness of iterative learning control for a class of fractional-order linear continuous-time switched systems in the sense of L^p norm

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