Adaptive compensation strategy for the tracking/rejection of signals with time-varying frequency in digital repetitive control systems

Journal of Process Control

Volumn 20, Issue 4, 2010, Pages 551-558

  Olm, Josep M ^a   Ramos, Germán A ^b   Costa Castelló, Ramon ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSIDAD NACIONAL DE COLOMBIA   (Colombia)

Author keywords

Repetitive control; Stability; Time varying sampling

Indexed keywords

ADAPTIVE COMPENSATION; APRIORI; CLOSED-LOOP; CLOSED-LOOP BEHAVIOR; DESIGN STRATEGIES; DIGITAL REPETITIVE CONTROL; FIXED FREQUENCY; NONUNIFORM SAMPLING; PERFORMANCE DECAY; PERIODIC DISTURBANCES; PERIODIC REFERENCE; PLANT MODEL; REPETITIVE CONTROL; REPETITIVE CONTROLLER; SAMPLING PERIOD; SAMPLING TIME; STRUCTURAL CHANGE; TIME RESPONSE; TIME VARYING; TIME-VARYING FREQUENCY;

CONTROLLERS; SYSTEM STABILITY; TIME VARYING SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

EID: 77949489034     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2010.02.002     Document Type: Article

References (30)

1. G. Hillerström, K. Walgama, Repetitive control theory and applications - a survey, in: Proceedings of the 13th IFAC World Congress, vol. D, 1996, pp. 1-6.
2. Wang Y., Gao F., and Doyle III F. Survey on iterative learning control, repetitive control, and run-to-run control. J. Process Contr. 19 10 (2009) 1589-1600
3. Francis B., and Wonham W. Internal model principle in control theory. Automatica 12 (1976) 457-465
4. Wu S., and Tomizuka M. An iterative learning control design for self-servowriting in hard disk drives. Mechatronics 20 1 (2010) 53-58
5. Tayebi A., Abdul S., Zaremba M., and Ye Y. Robust iterative learning control design: application to a robot manipulator. IEEE/ASME Trans. Mech. 13 5 (2008) 608-613
6. Kim D.H., and Tsao T. Robust performance control of electrohydraulic actuators for electronic cam motion generation. IEEE Trans. Contr. Syst. Tech. 8 2 (2000) 220-227
7. Álvarez J., Yebra L., and Berenguel M. Repetitive control of tubular heat exchangers. J. Process Contr. 17 9 (2007) 689-701
8. K. Zhou, D. Wang, G. Xu, Repetitive controlled three-phase reversible PWM rectifier, in: Proceedings of the American Control Conference, 2000, pp. 125-129.
9. Zhou K., and Wang D. Digital repetitive learning controller for three-phase CVCF PWM inverter. IEEE Trans. Ind. Electron. 48 4 (2001) 820-830
10. B. Zhang, K. Zhou, Y. Wang, D. Wang, Performance improvement of repetitive controlled PWM inverters: a phase-lead compensation solution, Int. J. Circ. Theor. Appl., in press, doi:10.1002/cta.572.
11. Griñó R., Cardoner R., Costa-Castelló R., and Fossas E. Digital repetitive control of a three-phase four-wire shunt active filter. IEEE Trans. Ind. Electron. 54 3 (2007) 1495-1503
12. Steinbuch M. Repetitive control for systems with uncertain period-time. Automatica 38 12 (2002) 2103-2109
13. R. Costa-Castelló, S. Malo, R. Griñó, High performance repetitive control of an active filter under varying network frequency, in: Proceedings of the 17th IFAC World Congress, 2008, pp. 3344-3349.
14. Cao Z., and Ledwich G.F. Adaptive repetitive control to track variable periodic signals with fixed sampling rate. IEEE/ASME Trans. Mech. 7 3 (2002) 378-384
15. Álvarez J., Yebra L., and Berenguel M. Adaptive repetitive control for resonance cancellation of a distributed solar collector field. Int. J. Adapt. Contr. Signal Process. 23 4 (2007) 331-352
16. Liu J., and Yang Y. Frequency adaptive control technique for rejecting periodic runout. Contr. Eng. Pract. 12 1 (2004) 31-40
17. Manayathara T.J., Tsao T., and Bentsman J. Rejection of unknown periodic load disturbances in continuous steel casting process using learning repetitive control approach. IEEE Trans. Contr. Syst. Tech. 4 3 (1996) 259-265
18. G. Hillerström, On repetitive control, Ph.D. Thesis, Lulea University of Technology (November 1994).
19. Costa-Castelló R., Nebot J., and Griñó R. Demonstration of the internal model principle by digital repetitive control of an educational laboratory plant. IEEE Trans. Educ. 48 1 (2005) 73-80
20. T. Inoue, M. Nakano, T. Kubo, S. Matsumoto, H. Baba, High accuracy control of a proton synchrotron magnet power supply, in: Proceedings of the Eighth IFAC World Congress, 1981, pp. 216-220.
21. Griñó R., and Costa-Castelló R. Digital repetitive plug-in controller for odd-harmonic periodic references and disturbances. Automatica 41 1 (2005) 153-157
22. G. Escobar, P. Hernandez-Briones, R. Torres-Olguin, A. Valdez, A repetitive-based controller for the compensation of 6 l ± 1 harmonic components, in: Proceedings of the IEEE International Symposium on Industrial Electronics, 2007, pp. 3397-3402.
23. Chew K.K., and Tomizuka M. Steady-state and stochastic performance of a modified discrete-time prototype repetitive controller. J. Dynam. Syst. Meas. Contr. 112 (1990) 35-41
24. Tomizuka M., Tsao T.-C., and Chew K.-K. Analysis and synthesis of discrete-time repetitive controllers. J. Dynam. Syst. Meas. Contr. 111 (1989) 353-358
25. G. Hillerström, R.C. Lee, Trade-offs in repetitive control, Tech. Rep. CUED/F-INFENG/TR 294, Univ. of Cambridge (June 1997).
26. Apkarian P., and Adams R. Advanced gain-scheduling techniques for uncertain systems. IEEE Trans. Contr. Syst. Tech. 6 1 (1998) 21-32
27. Sala A. Computer control under time-varying sampling period: an LMI gridding approach. Automatica 41 12 (2005) 2077-2082
28. Rugh W. Linear System Theory. second ed. (1996), Prentice-Hall Inc., Upper Saddle River, NJ
29. Hsieh G., and Hung J. Phase-locked loop techniques. A survey. IEEE Trans. Ind. Electron. 43 6 (1996) 609-615
30. Stoica P., Li H., and Li J. Amplitude estimation of sinusoidal signals: survey, new results, and an application. IEEE Trans. Signal Process. 48 2 (2000) 338-352