Iterative Learning Control — Monotonicity and Optimization

David Owens; Steve Daley

doi:10.2478/v10006-008-0026-7

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Iterative Learning Control — Monotonicity and Optimization

International Journal of Applied Mathematics and Computer Science

Volume 18 (2008): Issue 3 (September 2008)

By: David Owens and Steve Daley

Open Access

|Oct 2008

Abstract

The area if Iterative Learning Control (ILC) has great potential for applications to systems with a naturally repetitive action where the transfer of data from repetition (trial or iteration) can lead to substantial improvements in tracking performance. There are several serious issues arising from the "2D" structure of ILC and a number of new problems requiring new ways of thinking and design. This paper introduces some of these issues from the point of view of the research group at Sheffield University and concentrates on linear systems and the potential for the use of optimization methods and switching strategies to achieve effective control.

References

Amann N. (1996). Optimal Algorithms for Iterative Learning Control, Ph. D. thesis, University of Exeter.
Search in Google Scholar
Amann N., Owens D. H. and Rogers E. (1996). Iterative learning control for discrete-time systems with exponential rate of convergence, IEE Proceedings: Control Theory and Applications143: 217-244.10.1049/ip-cta:19960244
Search in Google Scholar
Amann N., Owens D. H. and Rogers E. (1998). Predictive Optimal Iterative Learning Control, International Journal of Control69(2), 203-226.10.1080/002071798222794
Search in Google Scholar
Arimoto S., Kawamura S. and Miyazaki F. (1984). Bettering operations of robots by learning, Journal of Robotic Systems1: 123-140.10.1002/rob.4620010203
Search in Google Scholar
Bien Z. and Xu J. (1998). Iterative Learning Control: Analysis, Integration, and Application, Kluwer.10.1007/978-1-4615-5629-9
Search in Google Scholar
Camacho E. F and Bordons C. (1998). Model Predictive Control, Springer.10.1007/978-1-4471-3398-8
Search in Google Scholar
Chen Y. and Wen C. (1999). Iterative Learning Control: Robustness and Applications, Springer.10.1007/BFb0110114
Search in Google Scholar
Chen Y. and Moore K. L. (2000). Comments on United States Patent 3,555,252 - Learning control of actuators in control systems, Proceedings of the 2000 International Conference on Automation, Robotics, and Control, Singapore.
Search in Google Scholar
Cryer B. W., Nawrocki P. E. and Lund R. A. (1976). A road simulation system for heavy duty vehicles, Technical report 760361, Society of Automotive Engineers.10.4271/760361
Search in Google Scholar
Daley S., Hätönen J. and Owens D. H. (2004). Hydraulic servo system command shaping using iterative learning control, Proceedings of the Control Conference 2004, Bath, UK.10.1049/ic:20040657
Search in Google Scholar
de Roover D. (1997). Motion Control of a Wafer Stage — A Design Approach for Speeding Up IC Production, Ph. D. thesis, Delft University of Technology.
Search in Google Scholar
Edwards J. B. and Owens D. H. (1982). Analysis and Control of Multipass Processes, Research Studies Press.
Search in Google Scholar
Furuta K. and Yamakita M. (1987). The design of learning control systems for multivariable systems, Proceedings of the IEEE International Symposium on Intelligent Control, Philadelphia, PA, USA, pp. 371-376.
Search in Google Scholar
Gorinevsky D. M. (1992). Direct learning of feedforward control for manipulator path tracking, Proceedings of the IEEE International Symposium on Intelligent Control, Glasgow, UK.
Search in Google Scholar
Gunnarsson S. and Norrlöf M. (2001). On the design of ILC algorithms using optimisation, Automatica37: 2011-2016.10.1016/S0005-1098(01)00154-6
Search in Google Scholar
Harte T. J., Hätönen J. J. and Owens D. H. (2005). Discretetime inverse model-based iterative learning control: Stability, monotonicity and robustness, International Journal of Control78(8), 577-586.10.1080/00207170500111606
Search in Google Scholar
Hatzikos V., Hätönen J. and Owens D. H. (2004). Genetic algorithms in norm-optimal and non-linear iterative learning control, International Journal of Control77(2): 188-197.10.1080/00207170310001649351
Search in Google Scholar
Hätönen J. (2004). Issues of Algebra and Optimality in Iterative Learning Control, Ph. D. thesis, University of Oulu.
Search in Google Scholar
Hätönen J. and Owens D. H. (2004). Convex modifications to an iterative learning control law, Automatica40: 1213-1220.10.1016/j.automatica.2004.02.005
Search in Google Scholar
Hätönen J., Harte T. J., Owens D. H., Ratcliffe J., Lewin P. and Rogers E. (2003). A new robust iterative learning control law for application on a gantry robot, Proceedings of the 9th IEEE Conference on Emerging Technologies and Factory Automation, Lisbon, Portugal.
Search in Google Scholar
Hätönen J. J., Owens D. H. and Moore K. L. (2004). An algebraic approach to iterative learning control, International Journal of Control77(1), 45-54.10.1080/00207170310001638614
Search in Google Scholar
Hätönen J. J., Owens D. H. and Feng K. (2006). Basis functions and parameter optimization in high order iterative learning control, Automatica42(2): 287-294.10.1016/j.automatica.2005.05.025
Search in Google Scholar
Lee J. J. and Lee J. W. (1993). Design of Iterative Learning Controller with VCR servo system, IEEE Transactions on Consumer Electronics39: 13-24.10.1109/30.199589
Search in Google Scholar
Lee K. S., Bang S. H., Yi S. and Yoon S. C. (1996a). Iterative learning control of heat up phase for a batch polymerization reactor, Journal of Process Control6(4): 255-262.10.1016/0959-1524(96)00048-0
Search in Google Scholar
Lee K. S., Kim W. C. and Lee J. H. (1996b). Model-based Iterative learning control with quadratic criterion for linear batch processes, Journal of Control, Automation and Systems Engineering3: 148-157.
Search in Google Scholar
Longman R. W. (2000). Iterative Learning Control and Repetitive Control for engineering practise, International Journal of Control73(10): 930-954.10.1080/002071700405905
Search in Google Scholar
Moore K. L. (1993). Iterative Learning Control for Deterministic Systems, Springer.10.1007/978-1-4471-1912-8
Search in Google Scholar
Moore K. L. (1998). Multi-loop control approach to designing Iterative Learning Controllers, Proceedings of the 37th IEEE Conference on Decision and Control, Tampa, FL, USA.
Search in Google Scholar
Norrlöf M. (2000). Iterative Learning Control: Analysis, Design, and Experiments, Ph. D. thesis, Linköping University.
Search in Google Scholar
Norrlöf Mikael (2002). An adaptive iterative learning control algorithm with experiments on an industrial robot, IEEE Transactions on Robotics and Automation18(2): 245-251.10.1109/TRA.2002.999653
Search in Google Scholar
Owens D. H. and Feng K. (2003). Parameter optimization in Iterative learning control, International Journal of Control76(11): 1059-1069.10.1080/0020717031000121410
Search in Google Scholar
Owens D. H., Tomas-Rodriguez M. and Daley S. (2008). Limit sets and switching strategies in parameter optimal iterative learning control, International Journal of Control81(4): 626-640.10.1080/00207170701579403
Search in Google Scholar
Ratcliffe J., Harte T. J., Hätönen J., Lewin P. Rogers E. and Owens D. H. (2004). Practical implementation of a model inverse optimal iterative learning controller on a gantry robot, Proceedings of the IFAC Workshop on Periodic Systems (PSYCO 04), Yokohama, Japan.10.1016/S1474-6670(17)31549-5
Search in Google Scholar
Rogers E. and Owens D. H. (1992). Stability Analysis for Linear Repetitive Processes, Springer.10.1007/BFb0007165
Search in Google Scholar
Tao K. M., Kosut R. L. and Aral G. (1994). Learning feedforward control, Proceedings of the American Control Conference, Baltimore, MD, USA.
Search in Google Scholar
Togai M. and O. Yamano (1985). Analysis and design of an optimal learning control scheme for industrial robots: A discrete system approach, Proceedings 24th IEEE Conference on Decision and Control, Ft. Lauderdale, FL, USA.
Search in Google Scholar
Uchiyama M. (1978). Formation of high speed motion pattern of mechanical arm by trial, Transactions of the Society of Instrumentation and Control Engineers19(5): 706-712.10.9746/sicetr1965.14.706
Search in Google Scholar
Xu J. X. and Tan Y. (2003). Linear and Nonlinear Iterative Learning Control, Springer.
Search in Google Scholar
Zilouchian A. (1994). An iterative learning control technique for a dual arm robotic system, Proceedings of the 1994 IEEE International Conference on Robotics and Automation, San Diego, CA, USA, pp. 1528-1533.
Search in Google Scholar