Iterative Learning Control of a Discrete-Time System under Delay along the Sample Trajectory and Input Saturation

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Дәйексөз келтіру

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Аннотация

This paper considers a linear discrete-time system operating in a repetitive mode to track a reference trajectory with a required accuracy. The control variable has a delay along the sample trajectory, and saturation-type constraints are imposed. We introduce a new method for designing an iterative learning control law that depends on the delay and ensures the required accuracy of tracking. A numerical example demonstrates the effectiveness of this method.

Авторлар туралы

P. Pakshin

Arzamas Polytechnic Institute of Alekseev Nizhny Novgorod State Technical University

Email: pakshinpv@gmail.com
Arzamas, Nizhny Novgorod oblast, Russia

Yu. Emel'yanova

Arzamas Polytechnic Institute of Alekseev Nizhny Novgorod State Technical University

Хат алмасуға жауапты Автор.
Email: emelianovajulia@gmail.com
Arzamas, Nizhny Novgorod oblast, Russia

Әдебиет тізімі

  1. Arimoto S., Kawamura S., Miyazaki F. Bettering Operation of Robots by Learning // J. Robot. Syst. 1984. V. 1. P. 123-140.
  2. Freeman C.T., Rogers E., Hughes A.-M., Burridge J.H., Meadmore K.L. Iterative learning control in health care: electrical stimulation and robotic-assisted upper-limb stroke rehabilitation // IEEE Control Syst. Magaz. 2012. V. 47. P. 70-80.
  3. Meadmore K.L., Exell T.A., Hallewell E., Hughes A.-M., Freeman C.T., Kutlu M., Benson V., Rogers E., Burridge J.H. The application of precisely controlled functional electrical stimulation to the shoulder, elbow and wrist for upper limb stroke rehabilitation: a feasibility study // J. of NeuroEngineer. and Rehabilitation. 2014. P. 11-105.
  4. Ketelhut M., Stemmler S., Gesenhues J., Hein M., Abel D. Iterative learning control of ventricular assist devices with variable cycle durations // Control Engineer. Practice. 2019. V. 83. P. 33-44.
  5. Sammons P.M., Gegel M.L., Bristow D.A., Landers R.G. Repetitive Process Control of Additive Manufacturing with Application to Laser Metal Deposition // IEEE Transact. Control Syst. Technol. 2019. V. 27. No. 2. P. 566-575.
  6. Lim I., Hoelzle D.J., Barton K.L. A multi-objective iterative learning control approach for additive manufacturing applications // Control Engineer. Practice. 2017. V. 64. P. 74-87.
  7. Sornmo O., Bernhardsson B., Kroling O., Gunnarsson P., Tenghamn R. Frequencydomain iterative learning control of a marine vibrator // Control Engineer. Practice. 2016. V. 47. P. 70-80.
  8. Hladowski L., Galkowski K., Cai Z., Rogers E., Freeman C., Lewin P. Experimentally Supported 2D Systems Based Iterative Learning Control Law Design for Error Convergence and Performance // Control Engineer. Practice. 2010. V. 18. P. 339-348.
  9. Bristow D.A., Tharayil M., Alleyne A.G. A Survey of Iterative Learning Control: A Learning-Based Method for High-Performance Tracking Control // IEEE Control Syst. Magaz. 2006. V. 26. No. 3. P. 96-114.
  10. Ahn H-S., Chen Y.Q., Moore K.L. Iterative Learning Control: Survey and Categorization // IEEE Trans. Syst. Man Cybern. Part C: Appl. Rev. 2007. V. 37. No. 6. P. 1099-1121.
  11. Xu J-X., Tan Y., Lee T-H. Iterative learning control design based on composite energy function with input saturation // Automatica. 2004. V. 40. P. 1371-1377.
  12. Mishra S., Topcu U., Tomizuka M. Iterative Learning Control with Saturation Constraints // Proc. 2009 American Control Conf. 2009. P. 943-948.
  13. Zhang R., Chi R. Iterative Learning Control for a Class of MIMO Nonlinear System with Input Saturation Constraint // Proc. 36th Chinese Control Conf. 2017. P. 3543-3547.
  14. Ljeˇsnjanin M., Tan Y., Oetomo D., Freeman C.T. Spatial Iterative Learning Control: Systems with Input Saturation // 2017 American Control Conf. 2017. P. 5121-5126.
  15. Wei Z-B., Quan Q., Cai K-Y. Output Feedback ILC for a Class of Nonminimum Phase Nonlinear Systems With Input Saturation: An Additive-State-Decomposition-Based Method // IEEE Trans. Autom. Control. 2017. V. 62. P. 502-508.
  16. Sebastian G., Tan Y., Oetomo D., Mareels I. Iterative Learning Control for Linear Time-varying Systems with Input and Output Constraints // 2018 Australian and New Zealand Control Conf. (ANZCC). 2018. P. 87-92.
  17. Sebastian G., Tan Y., Oetomo D. Convergence analysis of feedback-based iterative learning control with input saturation // Automatica. 2019. V. 101. P. 44-52.
  18. Chen Y., Gong Z., Wen C. Analysis of a High-Order Iterative Learning Control Algorithm for Uncertain Nonlinear Systems with State Delays // Automatica. 1998. V. 34. P. 345-353.
  19. Liu T., Gao F., Wang Y. IMC-based iterative learning control for batch processes with uncertain time delay // Journal of Process Control. 2010. V. 20. P. 173-180.
  20. Wang L., Mo S., Zhou D., Gao F., Chen X. Delay-range-dependent robust 2D iterative learning control for batch processes with state delay and uncertainties // Journal of Process Control. 2013. V. 23. P. 715-730.
  21. Tao H., Paszke W., Yang H., Ga lkowski K. Finite frequency range robust iterative learning control of linear discrete system with multiple time-delays // Journal of the Franklin Institute. 2019. V. 356. P. 2690-2708.
  22. Tao H., Paszke W., Rogers E., Yang H., Ga lkowski K. Finite frequency range iterative learning fault-tolerant control for discrete time-delay uncertain systems with actuator faults // ISA Transactions. 2019. V. 95. P. 152-163.
  23. Browne F., Rees B., Chiu G.T.-C., Jain N. Iterative Learning Control With Time-Delay Compensation: An Application to Twin-Roll Strip Casting // IEEE Trans. Control Systems Technology. 2021. V. 29. P. 140-149.
  24. Pakshin P., Emelianova J., Rogers E., Galkowski K. Iterative Learning Control with Input Saturation // IFAC PapersOnLine. 2019. V. 52. No. 29. P. 338-343.
  25. Rogers E., Galkowski K., Owens D.H. Control Systems Theory and Applications for Linear Repetitive Processes / Lect. Notes Control Inform. Sci. Berlin: Springer-Verlag, 2007. V. 349.
  26. Pakshin P., Emelianova J., Emelianov M., Galkowski K., Rogers E. Dissipivity and Stabilization of Nonlinear Repetitive Processes // Syst. & Control Lett. 2016. V. 91. P. 14-20.
  27. Emelianova J.P., Pakshin P.V. Iterative Learning Control Design Based on State Observer // Automation and Remote Control. 2019. V 80. P. 1561-1573.
  28. Tarbouriech S., Garcia G., Gomes da Silva Jr. J.M., Queinnec I. Stability and Stabilization of Linear Systems with Saturating Actuators.- London: Springer-Verlag. 2011.
  29. Yakubovich V.A., Leonov G.A., Gelig A.Kh. Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities. - London: World Scientific Press. 2004.
  30. Mandra S., Galkowski S., Aschemann H. Robust guaranteed cost ILC with dynamic feedforward and disturbance compensation for accurate PMSM position control // Control Engineering Practice. 2017. V. 65. P. 36-47.

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