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Published in: International Journal of Automation and Computing 3/2015

01-06-2015 | Regular Paper

Robust fault-tolerant iterative learning control for discrete systems via linear repetitive processes theory

Authors: Jian Ding, Blazej Cichy, Krzysztof Galkowski, Eric Rogers, Hui-Zhong Yang

Published in: Machine Intelligence Research | Issue 3/2015

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Abstract

This paper addresses the problem of robust iterative learning control design for a class of uncertain multiple-input multiple-output discrete linear systems with actuator faults. The stability theory for linear repetitive processes is used to develop formulas for gain matrices design, together with convergent conditions in terms of linear matrix inequalities. An extension to deal with model uncertainty of the polytopic or norm bounded form is also developed and an illustrative example is given.

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Literature
[1]
go back to reference S. Arimoto, S. Kawamura, F. Miyazaki. Bettering operation of robots by learning. Journal of Robotic Systems, vol.1, no. 2, pp. 123–140, 1984.CrossRef S. Arimoto, S. Kawamura, F. Miyazaki. Bettering operation of robots by learning. Journal of Robotic Systems, vol.1, no. 2, pp. 123–140, 1984.CrossRef
[2]
go back to reference H. S. Ahn, Y. Q. Chen, K. L. Moore. Iterative learning control: Brief survey and categorization. IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews, vol. 37, no. 6, pp. 1099–1121, 2007.CrossRef H. S. Ahn, Y. Q. Chen, K. L. Moore. Iterative learning control: Brief survey and categorization. IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews, vol. 37, no. 6, pp. 1099–1121, 2007.CrossRef
[3]
go back to reference D. A. Bristow, M. Tharayil, A. G. Alleyne. A survey of iterative learning control. IEEE Control Systems Magazine, vol. 26, no. 3, pp. 96–114, 2006.CrossRef D. A. Bristow, M. Tharayil, A. G. Alleyne. A survey of iterative learning control. IEEE Control Systems Magazine, vol. 26, no. 3, pp. 96–114, 2006.CrossRef
[4]
go back to reference D. Li, J. M. Li. Adaptive iterative learning control for nonlinearly parameterized systems with unknown time-varying delay and unknown control direction. International Journal of Automation and Computing, vol. 9, no. 6, pp. 578–586, 2012.CrossRef D. Li, J. M. Li. Adaptive iterative learning control for nonlinearly parameterized systems with unknown time-varying delay and unknown control direction. International Journal of Automation and Computing, vol. 9, no. 6, pp. 578–586, 2012.CrossRef
[5]
go back to reference Z. Q. Wu, C. H. Xu, Y. Yang. Robust iterative learning control of single-phase grid-connected inverter. International Journal of Automation and Computing, vol. 11, no. 4, pp. 404–411, 2014.MathSciNetCrossRef Z. Q. Wu, C. H. Xu, Y. Yang. Robust iterative learning control of single-phase grid-connected inverter. International Journal of Automation and Computing, vol. 11, no. 4, pp. 404–411, 2014.MathSciNetCrossRef
[6]
go back to reference D. Y. Meng, Y.M. Jia, J. P. Du, F. S. Yu. Data-driven control for relative degree systems via iterative learning. IEEE Transactions On Neural Networks, vol. 22, no. 12, pp. 2213–2225, 2011.CrossRef D. Y. Meng, Y.M. Jia, J. P. Du, F. S. Yu. Data-driven control for relative degree systems via iterative learning. IEEE Transactions On Neural Networks, vol. 22, no. 12, pp. 2213–2225, 2011.CrossRef
[7]
go back to reference W. Chen, Y. Q. Chen, C. P. Yeh. Robust iterative learning control via continuous sliding-mode technique with valida tion on an SRV02 rotary plant. Mechatronics, vol. 22, no. 5, pp. 588–593, 2012.CrossRef W. Chen, Y. Q. Chen, C. P. Yeh. Robust iterative learning control via continuous sliding-mode technique with valida tion on an SRV02 rotary plant. Mechatronics, vol. 22, no. 5, pp. 588–593, 2012.CrossRef
[8]
go back to reference X. D. Yu, Z. H. Xiong, D. X. Huang, Y. H. Jiang. Modelbased iterative learning control for batch processes using generalized hinging hyperplanes. Industrial & Engineering Chemistry Research, vol. 52, no. 4, pp. 1627–1634, 2013.CrossRef X. D. Yu, Z. H. Xiong, D. X. Huang, Y. H. Jiang. Modelbased iterative learning control for batch processes using generalized hinging hyperplanes. Industrial & Engineering Chemistry Research, vol. 52, no. 4, pp. 1627–1634, 2013.CrossRef
[9]
go back to reference R. H. Chi, D. X. Zhang, X. M. Liu, Z. S. Hou, S. T. Jin. An anticipatory terminal iterative learning control approach with applications to constrained batch processes. Chinese Journal of Chemical Engineering, vol. 21, no. 3, pp. 271–275, 2013.CrossRef R. H. Chi, D. X. Zhang, X. M. Liu, Z. S. Hou, S. T. Jin. An anticipatory terminal iterative learning control approach with applications to constrained batch processes. Chinese Journal of Chemical Engineering, vol. 21, no. 3, pp. 271–275, 2013.CrossRef
[10]
go back to reference H. Q. Sun, Z. S. Hou, D. Y. Li. Coordinated Iterative learning control schemes for train trajectory tracking with overspeed protection. IEEE Transactions on Automation Science and Engineering, vol. 10, no. 2, pp. 323–333, 2013.MathSciNetCrossRef H. Q. Sun, Z. S. Hou, D. Y. Li. Coordinated Iterative learning control schemes for train trajectory tracking with overspeed protection. IEEE Transactions on Automation Science and Engineering, vol. 10, no. 2, pp. 323–333, 2013.MathSciNetCrossRef
[11]
go back to reference Z. S. Hou, J. W. Yan, J. X. Xu, Z. J. Li. Modified iterative-learning-control-based ramp metering strategies for freeway traffic control with iteration-dependent factors. IEEE Transactions on Intelligent Transportation Systems, vol. 13, no. 2, pp. 606–618, 2012.CrossRef Z. S. Hou, J. W. Yan, J. X. Xu, Z. J. Li. Modified iterative-learning-control-based ramp metering strategies for freeway traffic control with iteration-dependent factors. IEEE Transactions on Intelligent Transportation Systems, vol. 13, no. 2, pp. 606–618, 2012.CrossRef
[12]
go back to reference C. T. Freeman. Constrained point-to-point iterative learning control with experimental verification. Control Engineering Practice, vol. 20, no. 5, pp. 489–498, 2012.MathSciNetCrossRef C. T. Freeman. Constrained point-to-point iterative learning control with experimental verification. Control Engineering Practice, vol. 20, no. 5, pp. 489–498, 2012.MathSciNetCrossRef
[13]
go back to reference G. Parmar, K. Barten, S. Awtar. Large dynamic range nanopositioning using iterative learning control. Precision Engineering, vol. 38, no. 1, pp. 48–56, 2014.CrossRef G. Parmar, K. Barten, S. Awtar. Large dynamic range nanopositioning using iterative learning control. Precision Engineering, vol. 38, no. 1, pp. 48–56, 2014.CrossRef
[14]
go back to reference D. Q. Huang, J. X. Xu, V. Venkataramanan, T. C. T. Huynh. High-performance tracking of piezoelectric positioning stage using current-cycle iterative learning control with gain scheduling. IEEE Transactions on Industrial Electronics, vol. 61, no. 2, pp. 1085–1098, 2014.CrossRef D. Q. Huang, J. X. Xu, V. Venkataramanan, T. C. T. Huynh. High-performance tracking of piezoelectric positioning stage using current-cycle iterative learning control with gain scheduling. IEEE Transactions on Industrial Electronics, vol. 61, no. 2, pp. 1085–1098, 2014.CrossRef
[15]
go back to reference J. E. Kurek, M. B. Zaremba. Iterative learning control synthesis based on 2-D system theory. IEEE Transactions on Automatic Control, vol. 38, no. 1, pp. 121–125, 1993.MathSciNetCrossRefMATH J. E. Kurek, M. B. Zaremba. Iterative learning control synthesis based on 2-D system theory. IEEE Transactions on Automatic Control, vol. 38, no. 1, pp. 121–125, 1993.MathSciNetCrossRefMATH
[16]
go back to reference J. Shi, F. R. Gao, T. J. Wu. Integrated design and structure analysis of robust iterative learning control system based on a two-dimensional model. Industrial & Engineering Chemistry Research, vol. 44, no. 21, pp. 8095–8105, 2005.CrossRef J. Shi, F. R. Gao, T. J. Wu. Integrated design and structure analysis of robust iterative learning control system based on a two-dimensional model. Industrial & Engineering Chemistry Research, vol. 44, no. 21, pp. 8095–8105, 2005.CrossRef
[17]
go back to reference T. Liu, Y. Q. Wang. A synthetic approach for robust constrained iterative learning control of piecewise affine batch processes. Automatica, vol. 48, no. 11, pp. 2762–2775, 2012.MathSciNetCrossRefMATH T. Liu, Y. Q. Wang. A synthetic approach for robust constrained iterative learning control of piecewise affine batch processes. Automatica, vol. 48, no. 11, pp. 2762–2775, 2012.MathSciNetCrossRefMATH
[18]
go back to reference E. Rogers, K. Ga_lkowski, D. H. Owens. Control systems theory and applications for linear repetitive processes. Lecture Notes in Control and Information Sciences 349, 2007. E. Rogers, K. Ga_lkowski, D. H. Owens. Control systems theory and applications for linear repetitive processes. Lecture Notes in Control and Information Sciences 349, 2007.
[19]
go back to reference L. Hladowski, K. Ga_lkowski, Z. L. Cai, E. Rogers, C. T. Freeman, P. L. Lewin. Experimentally supported 2D systems based iterative learning control law design for error convergence and performance. Control Engineering Practice, vol. 18, no. 4, pp. 339–348, 2010.CrossRef L. Hladowski, K. Ga_lkowski, Z. L. Cai, E. Rogers, C. T. Freeman, P. L. Lewin. Experimentally supported 2D systems based iterative learning control law design for error convergence and performance. Control Engineering Practice, vol. 18, no. 4, pp. 339–348, 2010.CrossRef
[20]
go back to reference L. Hladowski, K. Ga_lkowski, Z. L. Cai, E. Rogers, C. T. Freeman, P. L. Lewin. Output information based iterative learning control law design with experimental verification. Journal of Dynamic Systems, Measurement, and Control, vol. 134, no. 2, Article number 021012, 2012. L. Hladowski, K. Ga_lkowski, Z. L. Cai, E. Rogers, C. T. Freeman, P. L. Lewin. Output information based iterative learning control law design with experimental verification. Journal of Dynamic Systems, Measurement, and Control, vol. 134, no. 2, Article number 021012, 2012.
[21]
go back to reference W. Paszke, E. Rogers, K. Ga_lkowski, Z. L. Cai. Robust finite frequency range iterative learning control design and experimental verification. Control Engineering Practice, vol. 21, no. 10, pp. 1310–1320, 2013.CrossRef W. Paszke, E. Rogers, K. Ga_lkowski, Z. L. Cai. Robust finite frequency range iterative learning control design and experimental verification. Control Engineering Practice, vol. 21, no. 10, pp. 1310–1320, 2013.CrossRef
[22]
go back to reference B. Cichy, K. Ga_lkowski, E. Rogers. 2D systems based robust iterative learning control using noncausal finite-time interval data. Systems & Control Letters, vol. 64, pp. 36–42, 2014.MathSciNetCrossRefMATH B. Cichy, K. Ga_lkowski, E. Rogers. 2D systems based robust iterative learning control using noncausal finite-time interval data. Systems & Control Letters, vol. 64, pp. 36–42, 2014.MathSciNetCrossRefMATH
[23]
go back to reference Y. Q. Wang, Y. Yang, D. H. Zhou, F. R. Gao. Active fault-tolerant control of nonlinear batch processes with sensor faults. Industrial & Engineering Chemistry Research, vol. 46, no. 26, pp. 9158–9169, 2007.CrossRef Y. Q. Wang, Y. Yang, D. H. Zhou, F. R. Gao. Active fault-tolerant control of nonlinear batch processes with sensor faults. Industrial & Engineering Chemistry Research, vol. 46, no. 26, pp. 9158–9169, 2007.CrossRef
[24]
go back to reference Y. Q. Wang, J. Shi, D. H. Zhou, F. R. Gao. Iterative learning fault-tolerant control for batch processes. Industrial & Engineering Chemistry Research, vol. 45, no. 26, pp. 9050–9060, 2006.CrossRef Y. Q. Wang, J. Shi, D. H. Zhou, F. R. Gao. Iterative learning fault-tolerant control for batch processes. Industrial & Engineering Chemistry Research, vol. 45, no. 26, pp. 9050–9060, 2006.CrossRef
[25]
go back to reference L. M. Wang, S. Y. Mo, D. H. Zhou, F. R. Gao, X. Chen. Robust delay dependent iterative learning fault-tolerant control for batch processes with state delay and actuator failures. Journal of Process Control, vol. 22, no. 7, pp. 1273–1286, 2012.CrossRef L. M. Wang, S. Y. Mo, D. H. Zhou, F. R. Gao, X. Chen. Robust delay dependent iterative learning fault-tolerant control for batch processes with state delay and actuator failures. Journal of Process Control, vol. 22, no. 7, pp. 1273–1286, 2012.CrossRef
[26]
go back to reference Y. Q. Wang, D. H. Zhou, F. R. Gao. Iterative learning reliable control of batch processes with sensor faults. Chemical Engineering Science, vol. 63, no. 4, pp. 1039–1051, 2008.CrossRef Y. Q. Wang, D. H. Zhou, F. R. Gao. Iterative learning reliable control of batch processes with sensor faults. Chemical Engineering Science, vol. 63, no. 4, pp. 1039–1051, 2008.CrossRef
[27]
go back to reference L. H. Xie. Output feedback H∞ control of systems with parameter uncertainty. International Journal of Control, vol. 63, no. 4, pp. 741–750, 1996.MathSciNetCrossRefMATH L. H. Xie. Output feedback H control of systems with parameter uncertainty. International Journal of Control, vol. 63, no. 4, pp. 741–750, 1996.MathSciNetCrossRefMATH
[28]
go back to reference J. Shi, F. R. Gao, T. J. Wu. Robust design of integrated feedback and iterative learning control of a batch process based on a 2D Roesser system. Journal of Process Control, vol. 15, no. 8, pp. 907–924, 2005.CrossRef J. Shi, F. R. Gao, T. J. Wu. Robust design of integrated feedback and iterative learning control of a batch process based on a 2D Roesser system. Journal of Process Control, vol. 15, no. 8, pp. 907–924, 2005.CrossRef
Metadata
Title
Robust fault-tolerant iterative learning control for discrete systems via linear repetitive processes theory
Authors
Jian Ding
Blazej Cichy
Krzysztof Galkowski
Eric Rogers
Hui-Zhong Yang
Publication date
01-06-2015
Publisher
Institute of Automation, Chinese Academy of Sciences
Published in
Machine Intelligence Research / Issue 3/2015
Print ISSN: 2731-538X
Electronic ISSN: 2731-5398
DOI
https://doi.org/10.1007/s11633-015-0883-0

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