Abstract
This paper addresses the design of learning filters for a class of iterative learning control (ILC) schemes. In particular, the paper develops a method for the design of finite impulse response (FIR) filters to approximate the inverse of the dynamics resulting from the feedback controller design. The filter design is linear matrix inequality (LMI) based and guarantees convergence of the ILC scheme. Also application of the generalized Kalman-Yakubovich-Popov (KYP) lemma allows the inclusion of finite frequency range performance specifications. Finally, a simulation study illustrate the effectiveness of the new design procedure.
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References
[1] Ahn, H.S., Chen, Y.Q., and Moore, K.L. (2007), “Iterative learning control: brief survey and categorization,” IEEE Transactions on Systems, Man and Cybernetics, Part C: Applications and Reviews, vol. 37, no 6, pp. 1109–1121.
[2] Bristow, D.A., Tharayil, M., and Alleyne, A. (2006), “A survey of Iterative Learning Control,” IEEE Control Systems Magazine, vol. 26, no 3, pp. 96–114.
[3] Iwasaki, T., and Hara, S. (2005), “Generalized KYP lemma: unified frequency domain inequalities with design applications,” IEEE Transactions on Automatic Control, vol. 50, no 1, pp. 41–59.
[4] Boski, M. and Paszke, W. (2015), “Application of a repetitive process setting to design of monotonically convergent iterative learning controll,” Journal of Physics: Conference Series, vol.659.
[5] Nagahara, M. (2011), “Min-Max Design of FIR Digital Filters by Semidefinite Programming,” Applications of Digital Signal Processing,, pp. 193–210.
[6] Paszke, W., Rogers, E. and Gałkowski, K. (2016), “Experimentally verified generalized KYP lemma based iterative learning control design,” Control Engineering Practice, vol. 53, pp. 57–67.
Acknowledgements
This work is partially supported by National Science Centre in Poland, grant No. 2014/15/B/ST7/03208.
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Boski, M., Paszke, W., Rogers, E. (2017). Learning filter design for ILC schemes using FIR approximation over a finite frequency range. In: Mitkowski, W., Kacprzyk, J., Oprzędkiewicz, K., Skruch, P. (eds) Trends in Advanced Intelligent Control, Optimization and Automation. KKA 2017. Advances in Intelligent Systems and Computing, vol 577. Springer, Cham. https://doi.org/10.1007/978-3-319-60699-6_73
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DOI: https://doi.org/10.1007/978-3-319-60699-6_73
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