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Iterative Learning Control Analysis for Linear Fractional-order Singular Systems

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  • Control Theory and Applications
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Abstract

The issue of iterative learning control analysis for linear fractional-order singular systems is considered in this research. The focus is placed upon the design of the iterative learning control algorithm for the sake of tracking the desired output trajectory. An appropriate P-type algorithm is proposed for the linear fractional-order singular systems. Furthermore, a PDα-type algorithm is presented for such systems with time-delay. Sufficient conditions for the convergence of the presented algorithms are analyzed thoroughly. Finally, the efficiency of the algorithm is verified by simulation illustration.

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Authors and Affiliations

  1. School of Mathematics and Information Sciences, Yantai University, Yantai, 264005, China

    Qian Liu

  2. School of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China

    Senping Tian

Authors
  1. Qian Liu
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  2. Senping Tian
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Correspondence to Qian Liu.

Additional information

Qian Liu is a lecturer in the School of Mathematics and Information Sciences, Yantai University. She received her Ph.D. degree in system engineering from South China University of Technology (SCUT) in 2019. Her research interests include control theory, fractional order calculus, iterative learning control, and system identification.

Senping Tian received his B.S. and M.S. degrees from the Central China Normal University, China, in 1982 and 1988, respectively, and received a Ph.D. degree from South China University of Technology (SCUT), China, in 1999. He is currently a professor at the School of Automation Science and Engineering, South China University of Technology, China. His research interests include theory and algorithms on iterative learning control for nonlinear systems, optimization and control of large-scale systems, and stability and qualitative theory of differential equations.

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This work was supported by the Natural Science Foundation of Shandong Province, China (ZR2020QF054), and National Natural Science Foundation of China (62173151, 62073275).

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Liu, Q., Tian, S. Iterative Learning Control Analysis for Linear Fractional-order Singular Systems. Int. J. Control Autom. Syst. 20, 3951–3959 (2022). https://doi.org/10.1007/s12555-021-0682-z

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  • DOI: https://doi.org/10.1007/s12555-021-0682-z

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