Using basis functions in iterative learning control: analysis and design theory

References

• Ahn , HS , Moore , K and Chen , YQ . 2007 . Iterative Learning Control: Robustness and Monotonic Convergence for Interval Systems , London : Springer-Verlag .
   Google Scholar
• Amann , N , Owens , D and Rogers , E . 1996a . Iterative Learning Control for Discrete-time Systems with Exponential Rate of Convergence . IEE Proceedings of the Control Theory Applications , 143 : 217 – 224 .
   Google Scholar
• Amann, N., Owens, D., and Rogers, E. (1996b), ‘Robustness of Norm-optimal Iterative Learning Control’, in UKACC International Conference on Control, September 2–5, Vol. 427, UK, pp. 1119–1124.
   Google Scholar
• Arimoto , S , Kawamura , S and Miyazaki , F . 1984 . Bettering Operation of Robots by Learning . Journal of Robotic Systems , 1 ( 2 ) : 123 – 140 .
   Web of Science ®Google Scholar
• Avrachenkov , K and Longman , R . 2003 . Iterative Learning Control for Over-determined, Under-determined, and Ill-conditioned Systems . International Journal of Applied Mathematics and Computer Science , 13 : 113 – 122 .
   Google Scholar
• Barton, K., van de Wijdeven, J., Alleyne, A., Bosgra, O., and Steinbuch, M. (2008), ‘Norm Optimal Cross-coupled Iterative Learning Control’, in Proceedings of the 47th IEEE Conference on Decision and Control, December 9–11, Cancun, Mexico, pp. 3020–3025.
   Google Scholar
• Bien , Z and Xu , J . 1998 . Iterative Learning Control: Analysis, Design, Integration, and Applications , Norwell, MA , , USA : Kluwer Academic Publishing .
   Google Scholar
• Bristow, D. (2008), ‘Frequency Domain Analysis and Design of Iterative Learning Control for Systems with Stochastic Disturbances’, in Proceedings of the American Control Conference, June 11–13, Seattle, WA, USA, pp. 3901–3907.
   Google Scholar
• Bristow , D , Tharayil , M and Alleyne , A . 2006 . A Survey of Iterative Learning Control–A Learning-based Method for High-performance Tracking Control . Control Systems Magazine , 26 ( 3 ) : 96 – 114 .
   Web of Science ®Google Scholar
• Casalino, G., and Bartolini, G. (1984), ‘A Learning Procedure for the Control of Movements of Robotic Manipulators’, in Proceedings of the IASTED Symposium on Robotics and Automation, Amsterdam, The Netherlands, pp. 108–111.
   Google Scholar
• Chen, Y.Q., Xu, J.X., and Wen, C. (1997), ‘A High-order Terminal Iterative Learning Control Scheme’, in Proceedings of the 36th Conference on Decision and Control, December, San Diego, CA, USA, pp. 3771–3772.
   Google Scholar
• Craig, J. (1984), ‘Adaptive Control of Manipulators Through Repeated Trials’, in Proceedings of the American Control Conference, San Diego, CA, USA, pp. 1566–1573.
   Google Scholar
• Donkers, T., van de Wijdeven, J., and Bosgra, O. (2008), ‘Robustness Against Model Uncertainties of Norm Optimal Iterative Learning Control’, in Proceedings of the American Control Conference, June 11–13, Seattle, WA, USA, pp. 4561–4566.
   Google Scholar
• Francis , B and Wonham , W . 1976 . The Internal Model Principle of Control Theory . Automatica , 12 : 457 – 465 .
   Web of Science ®Google Scholar
• Frueh , J and Phan , M . 2000 . Linear Quadratic Optimal Learning Control (LQL) . International Journal of Control , 73 ( 10 ) : 832 – 839 .
   Web of Science ®Google Scholar
• Galkowski , K , Lam , J , Rogers , E , Xu , S , Sulikowski , B , Paszke , W and Owens , D . 2003 . LMI Based Stability Analysis and Robust Controller Design for Discrete Linear Repetitive Processes . International Journal of Robust and Nonlinear Control , 13 : 1195 – 1211 .
   Web of Science ®Google Scholar
• Gauthier, G., and Boulet, B. (2005), ‘Convergence Analysis of Terminal ILC in the z-Domain’, in Proceedings of the American Control Conference, June 8–10, Portland, OR, USA, pp. 184–189.
   Google Scholar
• Gorinevsky , D . 2002 . Loop Shaping for Iterative Control of Batch Processes . IEEE Control Systems Magazine , 22 : 55 – 65 .
   Web of Science ®Google Scholar
• Hamamoto , K and Sugie , T . 2001 . An Iterative Learning Control Algorithm Within Prescribed Command-output Subspace . Automatica , 37 : 1803 – 1809 .
   Web of Science ®Google Scholar
• Hamamoto , K and Sugie , T . 2002 . Iterative Learning Control for Robot Manipulators using the Finite Dimensional Command Subspace . IEEE Transactions on Robotics and Automation , 18 : 632 – 635 .
   Google Scholar
• Hätönen , J , Owens , D and Feng , K . 2006 . Basis Functions and Parameter Optimisation in High-order Iterative Learning Control . Automatica , 42 : 287 – 294 .
   Web of Science ®Google Scholar
• Hillenbrand, S., and Pandit, M. (1999) ‘A Discrete-time Iterative Learning Control Law with Exponential Rate of Convergence’, in Proceedings of the 38th Conference on Decision and Control, December, Phoenix, AZ, USA, pp. 1575–1580.
   Google Scholar
• Kim , TH , Zheng , X and Sugie , T . 2007 . Noise Tolerant Iterative Learning Control and Identification for Continuous-time Systems with Unknown Bounded Command Disturbances . Journal of Dynamic Systems, Measurement, and Control , 129 : 825 – 836 .
   Web of Science ®Google Scholar
• Lee , K and Bien , Z . 1991 . Initial Condition Problem of Learning Control . in IEE Proceedings–D , 138 : 525 – 528 . November
   Web of Science ®Google Scholar
• Longman , R . 2000 . Iterative Learning Control and Repetitive Control for Engineering Practice . International Journal of Control , 73 : 930 – 954 .
   Web of Science ®Google Scholar
• Lucibello , P . 1995 . Output Zeroing with Internal Stability by Learning . Automatica , 31 : 1665 – 1672 .
   Web of Science ®Google Scholar
• Moore , K . 1993 . Iterative Learning Control for Deterministic Systems , London : Springer-Verlag .
   Google Scholar
• Moore , K . 1999 . Iterative Learning Control–An Expository Overview . Applied and Computational Controls, Signal Processing, and Circuits , 1 : 151 – 214 .
   Google Scholar
• Moore, K.(2001), ‘An Observation About Monotonic Convergence in Discrete-time, P-Type Iterative Learning Control’, in Proceedings of the 2001 IEEE International Symposium on Intelligent Control, September 5–7, México City, México, pp. 45–49
   Google Scholar
• Moore , K , Ahn , HS and Chen , YQ . 2008 . Iteration Domain ℋ∞-Optimal Iterative Learning Controller Design . International Journal of Robust and Nonlinear Control , 18 : 1001 – 1017 .
   Web of Science ®Google Scholar
• Norrlöf , M . 2000 . Iterative Learning Control, analysis, design and Experiments , Linköping , , Sweden : Linköping university .
   Google Scholar
• Norrlöf , M and Gunnarsson , S . 2002 . Time and Frequency Domain Convergence Properties in Iterative Learning Control . International Journal of Control , 75 : 1114 – 1126 .
   Web of Science ®Google Scholar
• Owens , D and Feng , K . 2003 . Parameter Optimization in Iterative Learning Control . International Journal of Control , 76 : 1059 – 1069 .
   Web of Science ®Google Scholar
• Phan, M., and Longman, R. (1988), ‘A Mathematical Theory of Learning Control for Linear Discrete Multivariable Systems’, in Proceedings of the AIAA/AAS Astrodynamics Specialist Conference, August 15–17, Minneapolis, MN, USA, pp. 740–746.
   Google Scholar
• Phan , M , Longman , R and Moore , K . 2000 . “ Unified Formulation of Linear Iterative Learning Control ” . In AAS/AIAA Space Flight Mechanics Meeting, January 23–26 , Clearwater, FL, USA .
   Google Scholar
• Rogers , E , Galkowski , K and Owens , D . 2007 . Control Systems Theory and Applications for Linear Repetitive Processes , New York : Springer-Verlag .
   Google Scholar
• Tousain, R., and van Casteren, D. (2007), ‘Iterative Learning Control in a Mass Product: Light on Demand in DLP Projection Systems’, in Proceedings of the American Control Conference, July 11–13, New York City, USA, pp. 5478–5483.
   Google Scholar
• Tousain, R., van der Meché, E., and Bosgra, O. (2001), ‘Design Strategy for Iterative Learning Control Based on Optimal Control’, in Proceedings of the 40th IEEE Conference on Decision and Control, December 4–7, Orlando, FL, USA, pp. 4463–4468.
   Google Scholar
• van de Wijdeven , J and Bosgra , O . 2008 . Residual Vibration Suppression using Hankel Iterative Learning Control . International Journal of Robust and Nonlinear Control , 18 : 1034 – 1051 .
   Web of Science ®Google Scholar
• van der Meulen , S , Tousain , R and Bosgra , O . 2008 . Fixed Structure Feedforward Controller Design Exploiting Iterative Trials: Application to a Wafer Stage and a Desktop Printer . Journal of Dynamic Systems, Measurement, and Control , 130 : 051006
   Web of Science ®Google Scholar
• van Oosten , C , Bosgra , O and Dijkstra , B . June 30–July 2 2004 . “ ‘Reducing Residual Vibrations Through Iterative Learning Control, with Application to a Wafer Stage’ ” . In Proceedings of the American Control Conference June 30–July 2 , 5150 – 5155 . Boston, MA , , USA
   Google Scholar
• Xu , JX , Chen , YQ , Lee , TH and Yamamoto , S . 1999 . Terminal Iterative Learning Control with an Application to RTPCVD Thickness Control . Automatica , 35 : 1535 – 1542 .
   Web of Science ®Google Scholar
• Xu , JX and Tan , Y . 2003 . Linear and Nonlinear Iterative Learning Control , Berlin : Springer-Verlag .
   Google Scholar
• Ye , Y and Wang , D . 2005 . DCT Basis Function Learning Control . IEEE/ASME Transactions on Mechatronics , 10 : 449 – 454 .
   Web of Science ®Google Scholar
• Zhang , B , Wang , D , Zhou , K , Ye , Y and Wang , Y . 2008 . Pseudo-downsampled Iterative Learning Control . International Journal of Robust and Nonlinear Control , 18 : 1072 – 1088 .
   Web of Science ®Google Scholar