Optimal anti-windup synthesis for repetitive controllers

Journal of Process Control

Volumn 23, Issue 8, 2013, Pages 1149-1158

  Ramos, Germán A ^a   Costa Castelló, Ramon ^b  

^a UNIVERSIDAD NACIONAL DE COLOMBIA   (Colombia)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Actuator saturation; Anti windup; High order repetitive control; Repetitive control

Indexed keywords

ACTUATOR SATURATIONS; ANTI-WINDUP; ANTI-WINDUP COMPENSATOR; EXPERIMENTAL VALIDATIONS; FUNDAMENTAL FREQUENCIES; REPETITIVE CONTROL; REPETITIVE CONTROL SYSTEM; REPETITIVE CONTROLLER;

ACTUATORS; LINEAR MATRIX INEQUALITIES; OPTIMIZATION;

CONTROLLERS;

EID: 84881470818     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2013.07.004     Document Type: Article

References (38)

1. Z. Xianyi, L. Cuiyan, and Z. Dongchun A survey of repetitive control, vol. 2 2004 1160 1166 doi:10.1109/IROS.2004.1389553
2. J. Álvarez, L. Yebra, and M. Berenguel Repetitive control of tubular heat exchangers Journal of Process Control 17 9 2007 689 701 (Pubitemid 47539889)
3. A. Emad, A. Ajbar, and I. Almutaz Periodic control of a reverse osmosis desalination process Journal of Process Control 22 1 2012 218 227
4. S. Garimella, and K. Srinivasan Application of repetitive control to eccentricity compensation in rolling American Control Conference, vol. 3 1994 2904 2908
5. T. Manayathara, T.-C. Tsao, and J. Bentsman Rejection of unknown periodic load disturbances in continuous steel casting process using learning repetitive control approach IEEE Transactions on Control Systems Technology 4 3 1996 259 265 doi:10.1109/87.491199 (Pubitemid 126782409)
6. C. Bordons, and J. Cueli Predictive controller with estimation of measurable disturbances. Application to an olive oil mill Journal of Process Control 14 3 2004 305 315
7. P.C. Marchal, J.G. García, D.S. García, and J.G. Ortega Aplicación de control repetitivo para el rechazo de perturbaciones periódicas en la temperatura de la pasta en la batidora del proceso de elaboración de aceite de oliva virgen. Actas XXXII Jornadas de Automática., Sevilla 2011 iSBN: 978-84-694-6454-0
8. Y. Wang, and F.F.J.D. Gao III Survey on iterative learning control repetitive control and run-to-run control Journal of Process Control 19 10 2009 1589 1600
9. J.-X. Xu, S.K. Panda, and T.H. Lee ILC for process temperature control: application to a water-heating plant Real-time Iterative Learning Control, Advances in Industrial Control Springer, London 2009 65 83
10. K.S. Lee, and J.H. Lee Iterative learning control-based batch process control technique for integrated control of end product properties and transient profiles of process variables Journal of Process Control 13 7 2003 607 621
11. B. Francis, and W. Wonham Internal model principle in control theory Automatica 12 1976 457 465
12. P. Hippe Windup in Control: its Effects and Their Prevention, Advances in Industrial Control 2010 Springer Erlangen, Germany
13. D. Sbarbaro, M. Tomizuka, and B.L. de la Barra Repetitive control system under actuator saturation and windup prevention Journal of Dynamic Systems, Measurement, and Control 131 4 2009 044505 doi:10.1115/1.3117207
14. T. Inoue Practical repetitive control system design Proceedings of the 29th IEEE Conference on Decision and Control 1990 1673 1678 (Pubitemid 21691230)
15. M. Steinbuch Repetitive control for systems with uncertain period-time Automatica 38 12 2002 2103 2109 (Pubitemid 35276211)
16. G. Ramos, and R. Costa-Castelló Power factor correction and harmonic compensation using second-order odd-harmonic repetitive control IET Control Theory and Applications 6 11 2012 1633 1644 doi:10.1049/iet-cta.2011. 0272
17. S. Tarbouriech, and M. Turner Anti-windup design: an overview of some recent advances and open problems IET Control Theory and Applications 3 1 2009 1 19 doi:10.1049/iet-cta:20070435
18. S. Galeani, S. Tarbouriech, M. Turner, and L. Zaccarian A tutorial on modern anti-windup design European Journal of Control 15 2009 418 440
19. J. Flores, J. Gomes da Silva, L. Pereira, and D. Sbarbaro Robust repetitive control with saturating actuators: a LMI approach Proceedings of the American Control Conference (ACC), 2010 2010 4259 4264
20. Y.S. Ryu, and R. Longman Use of anti-reset windup in integral control based learning and repetitive control Proceedings of the IEEE International Conference on Systems, Man, and Cybernetics, 1994. 'Humans, Information and Technology', vol. 3 1994 2617 2622 doi:10.1109/ICSMC.1994.400266
21. J.G. da Silva Jr., and S. Tarbouriech Antiwindup design with guaranteed regions of stability: an LMI-based approach IEEE Transactions on Automatic Control 50 1 2005 106 111 doi:10.1109/TAC.2004.841128(410) 50 (Pubitemid 40173731)
22. V. Kucera Analysis and Design of Discrete Linear Control Systems 1991 Prentice Hall London
23. B. Panomruttanarug, and R.W. Longman Converting repetitive control into stable learning control by iterative adjustment of initial state Proceedings of the AAS/AIAA 16th Space Flight Mechanics Meetings Tampa, FL, USA 2006 667 686 (Pubitemid 46594523)
24. D. De Roover, O.H. Bosgra, and M. Steinbuch Internal-model-based design of repetitive and iterative learning controllers for linear multivariable systems International Journal of Control 73 10 2000 914 929 (Pubitemid 35395404)
25. D. De Rover, and O. Bosgra Dualization of the internal model principle in compensator and observer theory with application to repetitive and learning control American Control Conference. Proceedings of the 1997, vol. 6 1997 3902 3906
26. G. Ramos, and R. Costa-Castelló An optimal anti-windup strategy for repetitive control systems 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), 2011 2011 6043 6048 doi:10.1109/CDC.2011. 6160985
27. R. Costa-Castelló, J. Nebot, and R. Gri nó Demonstration of the internal model principle by digital repetitive control of an educational laboratory plant IEEE Transactions on Education 48 1 2005 73 80 (Pubitemid 40319329)
28. R. Gri nó, and R. Costa-Castelló Digital repetitive plug-in controller for odd-harmonic periodic references and disturbances Automatica 19 4 2004 1060 1068
29. M. Tomizuka, T.-C. Tsao, and K.-K. Chew Analysis and synthesis of discrete-time repetitive controllers Journal of Dynamic Systems, Measurement, and Control 111 1989 353 358
30. G. Hillerström, and R.C. Lee Trade-offs in repetitive control Tech. Rep. CUED/F-INFENG/TR 294, University of Cambridge (June) 1997
31. A. Zheng, M.V. Kothare, and M. Morari Anti-windup design for internal model control International Journal of Control 60 1993 1015 1024
32. G. Grimm, A.R. Teel, and L. Zaccarian The l2 anti-windup problem for discrete-time linear systems: definition and solutions Systems and Control Letters 57 4 2008 356 364 doi:10.1016/j.sysconle.2007.09.014 (Pubitemid 351232072)
33. L. Zaccarian, and A.R. Teel A common framework for anti-windup bumpless transfer and reliable designs Automatica 38 10 2002 1735 1744 doi:10.1016/S0005-1098(02)00072-9 (Pubitemid 34946690)
34. S. Galeani, A.R. Teel, and L. Zaccarian Constructive nonlinear anti-windup design for exponentially unstable linear plants Systems and Control Letters 56 5 2007 357 365 doi:10.1016/j.sysconle.2006.10.016 (Pubitemid 46435729)
35. H.K. Khalil Nonlinear Systems, 3rd ed. 2002 Prentice Hall Upper Saddle River, NJ
36. G. Herrmann, M. Turner, and I. Postlethwaite Linear matrix inequalities in control M. Turner, D. Bates, Mathematical Methods for Robust and Nonlinear Control, vol. 367 of Lecture Notes in Control and Information Sciences 2007 Springer Berlin, Heidelberg 123 142
37. V. Kucera Deadbeat response is l2 optimal Proceedings of the 3rd International Symposium on Communications, Control and Signal Processing, ISCCSP 2008 2008 154 157 doi:10.1109/ISCCSP.2008.4537210
38. K. Sugimoto, A. Inoue, and S. Masuda A direct computation of state deadbeat feedback gains IEEE Transactions on Automatic Control 38 8 1993 1283 1284 doi:10.1109/9.233169