Multivariable Discrete Time Repetitive Control System
Hammoud Saari, Bernard Caron
2012
Abstract
This paper deals with an iterative learning control law for multivariable systems. The desired inputs are supposed to be known and periodic. The principle of the control is to make outputs as close as possible to desired inputs at each new period. After the design of multivariable repetitive controller, we give the stability condition of the algorithm and some simulation results.
References
- Ahn, H., Moore, K. L. and Chen Y. (2007). Iterative Learning Control. Robustness and Monotonic Convergence for Interval Systems, Ed. Springer.
- Arimoto, S., Kawamura, S. and Miyazaki, F. (1984). Bettering Operation of Dynamic System by Learning: a new control theory for servomechanism or mechatronics systems, IEEE Proceeding of 23th CDC, pp. 1064-1069.
- Curtelin, G., Saari, H. and Caron. B. (1993). Repetitive control of continuous systems: Comparative study and application, Proceeding of IEEE SMC'93, Vol. 5, pp. 229-234.
- Moore, K. L., Dehleh, M. and Bhattacharyya, S. P. (1992). Iterative Learning Control: A Survey and New Results. Journal of Robotics Systems, 9(5), pp. 563- 594.
- Saari, H., Caron, B. and Curtelin, G. (1994a). Perfect tracking of non minimum phase process. Application to flexible joint robot, Proceeding of IFAC SY.RO.CO'94, Vol. 3, pp. 727-733.
- Saari, H., Caron, B. and Curtelin, G. (1994b). Optimal repetitive control, Proceeding of IEEE SMC'94, Vol. 2, pp. 1634-1638.
- Saari, H., Tadjine, M. and Caron, B. (1996). Discrete time repetitive control: Design and robustness analysis, Proceeding of WAC'96, World Automation Congress, Intelligent Automation and Control, Vol. 4, pp. 643- 650, TSI Press Series, Albuquerque, N.M.
- Saari, H., Caron, B. and Tadjine, M. (2010). On the design of discrete time repetitive controllers in closed loop configuration, Automatika, Vol. 51 (4), 333-344.
- Sugie. T. and Ono, T. (1991). An iterative control law for dynamical systems, Automatica, Vol. 27(4), 729-732.
- Tomizuka, M. (1987). Zero phase error tracking algorithm for digital control. ASME Journal of dynamic systems, measurement and control. Vol. 109, 65-68.
- Tomizuka, M., Tsao, T. C. and Chew, K. K. (1988). Discrete Time Domain Analysis of Repetitive Controllers, Proceeding of ACC'88, Vol. 2, pp. 860- 866.
- Xu, J. and Tan, Y. (2003). Linear and nonlinear iterative learning control, Ed. Springer.
Paper Citation
in Harvard Style
Saari H. and Caron B. (2012). Multivariable Discrete Time Repetitive Control System . In Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8565-21-1, pages 105-110. DOI: 10.5220/0003964501050110
in Bibtex Style
@conference{icinco12,
author={Hammoud Saari and Bernard Caron},
title={Multivariable Discrete Time Repetitive Control System},
booktitle={Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2012},
pages={105-110},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003964501050110},
isbn={978-989-8565-21-1},
}
in EndNote Style
TY - CONF
JO - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Multivariable Discrete Time Repetitive Control System
SN - 978-989-8565-21-1
AU - Saari H.
AU - Caron B.
PY - 2012
SP - 105
EP - 110
DO - 10.5220/0003964501050110