Control repetitivo digital de sistemas con frecuencia incierta o variante en el tiempo

Ramón Costa Castelló, Germán Andrés Ramos, Josep M. Olm

Resumen

El control repetitivo digital es una técnica basada en el principio del modelo interno que permite seguir y/o rechazar señales periódicas. Una hipótesis clave en los diseños tradicionales de control repetitivo es que la frecuencia de tales señales es constante y conocida, siendo su principal desventaja la elevada degradación de prestaciones que aparece cuando dicha frecuencia es incierta o varía con el tiempo. En este trabajo se presenta una revisión de las principales estrategias introducidas hasta la fecha para resolver este problema.

Palabras clave

Control repetitivo; Sistemas de control lineal; Sistemas de tiempo discreto; Regulación de salida

Texto completo:

PDF

Referencias

Akagi, H., 1996. New trends in active filters for power conditioning. IEEE Trans. on Industry Applications 32 (6), 1312–1322.

Álvarez, J., Yebra, L., Berenguel, M., 2007. Repetitive control of tubular heat exchangers. Journal of Process Control 17 (9), 689–701.

Apkarian, P., Adams, R., 1998. Advanced gain-scheduling techniques for uncertain systems. IEEE Trans. Control Systems Technology 6 (1), 21–32.

Bristow, D. A., Tharayil, M., Alleyne, A. G., 2006. A survey of iterative learning control. IEEE Control Systems Magazine 26 (3), 94–114.

Buso, S., Malesani, L., Mattavelli, P., 1998. Comparison of current control techniques for active filters applications. IEEE Trans. Industrial Electronics 45 (5), 722–729.

Cao, Z., Ledwich, G. F., 2002. Adaptive repetitive control to track variable periodic signals with fixed sampling rate. IEEE/ASME Trans. Mechatronics 7 (3), 374–384.

Chang, W. S., Suh, I. H., Kim, T. W., 1995. Analysis and design of two types of digital repetitive control systems. Automatica 31 (5), 741–746.

Chen, C.-L., Yang, Y.-H., 2007. Adaptive repetitive control for uncertain variable-speed rotational motion systems subject to spatially periodic disturbances. pp. 564–569.

Chen, S.-L., Hsieh, T.-H., 2007. Repetitive control design and implementation for linear motor machinet tool. Int. J. of Machine Tools and Manufacture 47 (12-13), 1807 – 1816.

Chew, K., Tomizuka, M., 1990. Digital control of repetitive errors in disk drive systems. IEEE Control Systems Magazine 10 (1), 16–20.

Choi, G. S., Lim, Y. A., Choi, G. H., 2002. Tracking position control of piezoelectric actuators for periodic reference inputs. Mechatronics 12 (5), 669–684.

Costa-Castello, R., Gri ´ n˜o, R., Cardoner, R., Fossas, E., 2009. High- ´ performance control of a single-phase shunt active filter. IEEE Trans. Control Systems Technology 17 (6), 1318–1329.

Costa-Castelló, R., Nebot, J., Griño, R., 2005. Demonstration of the internal model principle by digital repetitive controlf an educational laboratory plant. IEEE Trans. Education 48 (1), 73–80.

Costa-Castelló, R., Olm, J. M., Ramos, G. A., Cardoner-Parpal, R., 2010. Odd-harmonic repetitive control of an active filter under varying network frequency: Practical considerations. In: Proc. IEEE Int. Conf. on Control Applications. pp. 398–403.

Costa-Castelló and, R., Ramos, G., Olm, J., Steinbuch, M., 2010. Second-order odd-harmonic repetitive control and its application to active filter control. In: Proc. 49th IEEE Conf. on Decision and Control. pp. 6967 –6972.

Cuiyan, L., Dongchun, Z., Xianyi, Z., 2004. A survey of repetitive control. Vol. 2. pp. 1160 – 1166.

Daley, S., Hätönen, J., Owens, D., 2006. Active vibration isolation in a mount using a repetitive control approach. Control Engineering Practice 14 (9), 991–997.

Dotsch, H., Smakman, H., Van den Hof, P., Steinbuch, M., 1995. Adaptive repetitive control of a compact disc mechanism. In: Proc. 34th IEEE Conf. on Decision and Control. Vol. 2. pp. 1720–1725.

Doyle, J. C., Francis, B. A., Tannenbaum, A. R., 1992. Feedback Control Theory. Macmillan Publishing Co.

Escobar, G., Hernandez-Briones, P., Torres-Olguin, R., Valdez, A., 2007. A repetitive-based controller for the compensation of 6l ± 1 harmonic components. In: Proc. IEEE Int. Symp. on Industrial Electronics. pp. 3397– 3402.

Flores, J., Gomes da Silva, J., Pereira, L., Sbarbaro, D., 2010. Robust repetitive control with saturating actuators: a lmi approach. In: Proc. American Control Conference. pp. 4259 –4264.

Francis, B., Wonham, W., 1976. The internal model principle of control theory. Automatica 12 (5), 457–465.

Fujioka, H., 2008. Stability analysis for a class of networked/embedded control systems: A discrete-time approach. pp. 4997–5002.

Galeani, S., Tarbouriech, S., Turner, M., Zaccarian., L., 2009. A tutorial on modern anti-windup design. European Journal of Control 15 (3-4), 418–440.

Griñó, R., Costa-Castelló, R., 2005. Digital repetitive plug-in controller for odd- harmonic periodic references and disturbances. Automatica 41 (1), 153–157.

Hara, S., Yamamoto, Y., Omata, T., Nakano, M., 1988. Repetitive control system: a new type servo system for periodic exogenous signals. IEEE Trans. Automatic Control 33 (7), 659–668.

Hattori, S., Ishida, M., Hori, T., 2000. Suppression control method for torque vibration of brushless dc motor utilizing repetitive control with fourier transform. In: Proc. 6th Int. Workshop on Advanced Motion Control. pp. 427–432.

Hillerström, G., 1994. On repetitive control. Ph.D. thesis, Lulea University of Technology.

Hillerström, G., Lee, R. C., 1997. Trade-offs in repetitive control. Tech. Rep. CUED/F-INFENG/TR 294, University of Cambridge.

Hsieh, G.-C., Hung, J. C., 1996. Phase-locked loop techniques. a survey. IEEE Trans. Industrial Electronics 43 (6), 609–615.

Hu, J.-S., 1992. Variable structure digital repetitive controller. In: Proc. American Control Conference. pp. 2686–2690.

Huang, W., Cai, L., Tang, X., 1998. Adaptive repetitive output feedback control for friction and backlash compensation of a positioning table. In: Proc. 37th IEEE Conf. on Decision and Control. Vol. 2. pp. 1250–1251.

Inoue, T., 1990. Practical repetitive control system design. In: Proc. 29th IEEE Conf. on Decision and Control. pp. 1673–1678.

Inoue, T., Nakano, M., Kubo, T., Matsumoto, S., Baba, H., 1981. High accuracy control of a proton synchroton magnet power supply. In: Proc. 8th IFAC World Congress. pp. 216–220.

Kasac, J., Novakovic, B., Majetic, D., Brezak, D., 2008. Passive finitedimensional repetitive control of robot manipulators. IEEE Trans. Control Systems Technology 16 (3), 570–576.

Kim, D. H., Tsao, T.-C., March 2000. Robust performance control of electrohydraulic actuators for electroniccam motion generation. IEEE Trans. Control Systems Technology 8 (2), 220–227.

Laakso, T., Valimaki, V., Karjalainen, M., Laine, U., 1996. Splitting the unit delay (FIR/all pass filters design). IEEE Signal Processing Magazine 13 (1), 30–60.

Li, M., He, Z., Xing, Y., 2006. Analysis and design of repetitive controlled inverter system with high dynamic performance. In: Proc. Power Electronics and Motion Control Conference. Vol. 3. pp. 1–5.

Longman, R. W., 2000. Iterative learning control and repetitive control for engineering practice. International Journal of Control 73 (10), 930–954.

Manayathara, T., Tsao, T.-C., Bentsman, J., 1996. Rejection of unknown periodic load disturbances in continuous steelcasting process using learning repetitive control approach. IEEE Trans. Control Systems Technology 4 (3), 259–265.

Merry, R., Kessels, D., Heemels, W., van de Molengraft, M., Steinbuch, M., 2011. Delay-varying repetitive control with application to a walking piezo actuator. Automatica 47 (8), 1737–1743.

Nakano, M., Hara, S., 1986. Microprocessor-based repetitive control. In: Microprocessor-Based Control Systems. pp. 279–296.

Nan, Y., Yu, L., Chen, Z., Wu, A., 2006. Study on repetitive controller for the position servo system of electricalinjection molding machine. Vol. 2. pp. 8246–8250.

Olm, J., Ramos, G., Costa-Castello, R., 2011. Stability analysis of digital ´ repetitive control systems under time-varying sampling period. IET Control Theory Applications 5 (1), 29 –37.

Olm, J. M., Ramos, G. A., Costa-Castello, R., 2010. Adaptive compensation strategy for the tracking/rejection of signals with time-varying frequency in digital repetitive control systems. Journal of Process Control 20 (4), 551 – 558.

Pipeleers, G., Demeulenaere, B., Schutter, J. D., Swevers, J., 2009. Generalised repetitive control: relaxing the period-delay-based structure. IET Control Theory Applications 3 (11), 1528 –1536.

Pipeleers, G., Demeulenaere, B., Sewers, S., 2008. Robust high order repetitive control: Optimal performance trade offs. Automatica 44 (10), 2628–2634.

Ramos, G. A., Olm, J. M., Costa-Castello, R., 2011. Digital repetitive control ´ under non-uniform sampling: an LMI stability analysis. Mathematical Problems in Engineering 2011.

Robert, D., Sename, O., Zsimon, D., 2006. Synthesis of a sampling period dependent controller using LPV approach. In: Proc. 5th IFAC Symposium on Robust Control Design.

Robert, D., Sename, O., Zsimon, D., May 2010. An H∞ LPV design for sampling varying controllers: experimentation with a T inverted pendulum. IEEE Trans. Control Systems Technology 18 (3), 741 – 749.

Rugh, W. J., 1995. Linear System Theory, 2nd Edition. Prentice Hall.

Ryu, Y. S., Longman, R., 1994. Use of anti-reset windup in integral control based learning and repetitive control. In: Proc. IEEE Int. Conf. on Systems, Man, and Cybernetics: ’Humans, Information and Technology’. Vol. 3. pp. 2617 –2622.

Sala, A., 2005. Computer control under time-varying sampling period: an LMI gridding approach. Automatica 41 (12), 2077–2082.

Sbarbaro, D., Tomizuka, M., de la Barra, B. L., 2009. Repetitive control system under actuator saturation and windup prevention. Journal of Dynamic Systems, Measurement, and Control 131 (4), 044505–044512.

Songchon, T., Longman, R. W., 2001. On the waterbed effect in repetitive control using zero-phase filtering. In: Proc. of the AAS/AIAA Space Flight Mechanics Meeting. pp. 1321–1340.

Steinbuch, M., 2002. Repetitive control for systems with uncertain period-time. Automatica 38 (12), 2103–2109.

Steinbuch, M., Weiland, S., Singh, T., 2007. Design of noise and period-time robust high order repetitive control, with application to optical storage. Automatica 43 (12), 2086–2095.

Suh, Y. S., 2008. Stability and stabilization of nonuniform sampling systems. Automatica 44 (12), 3222 – 3226.

Sun, M.-X., He, X.-X., Chen, B.-Y., 2007. Repetitive learning control for timevarying robotic systems: A hybrid learning scheme. Acta Automatica Sinica 33 (11), 1189 – 1195.

Tarbouriech, S., Turner, M., 2009. Anti-windup design: an overview of some recent advances and open problems. IET Control Theory Applications 3 (1), 1 –19.

Tomizuka, M., 1987. Zero phase error tracking algorithm for digital control. Journal of Dynamic Systems, Measurements and Control 109 (1), 65–68.

Tomizuka, M., 2008. Dealing with periodic disturbances in controls of mechanical systems. Annual Reviews in Control 32 (2), 193 – 199.

Tsao, T.-C., Qian, Y.-X., Nemani, M., 2000. Repetitive control for asymptotic tracking of periodic signals with an unknown period. Journal of Dynamic Systems, Measurement, and Control 122 (2), 364–369.

Wang, Y., Gao, F., III, F. J. D., 2009. Survey on iterative learning control, repetitive control, and run-to-run control. Journal of Process Control 19 (10), 1589 – 1600.

Wang, Y., Wang, D., Zhang, B., Zhou, K., 2007a. Fractional delay based repetitive control with application to pwm dc/ac converters. In: Proc. IEEE Int. Conf. on Control Applications. pp. 928–933.

Wang, Y., Wang, D., Zhou, K., Zhang, B., Ye, Y., 2007b. Modelling and robust repetitive control of pwm dc/ac converters. In: Proc. IEEE Int. Symp. on Intelligent Control. pp. 214–219.

Yamada, M., Funahashi, Y., 2010. Sensitivity reduction of adaptive repetitive control system with asymptotical rejection against uncertain periodic disturbance. In: Proc. IEEE Int. Conf. on Control Applications. pp. 1672 –1677.

Yang, Y.-H., Chen, C.-L., 2008. Spatially periodic disturbance rejection using spatial-based output feedback adaptive backstepping repetitive control. In: Proc. American Control Conference. pp. 4117–4122.

Yu, S.-H., Hu, J.-S., 2001. Asymptotic rejection of periodic disturbances with fixed or varying period. Journal of Dynamic Systems, Measurement, and Control 123 (3), 324–329.

Zhou, K., Wang, D., January 2003. Digital repetitive controlled three-phase PWM rectifier. IEEE Trans. Power Electronics 18 (1), 309–316.

Abstract Views

459
Metrics Loading ...

Metrics powered by PLOS ALM


 

Citado por (artículos incluidos en Crossref)

This journal is a Crossref Cited-by Linking member. This list shows the references that citing the article automatically, if there are. For more information about the system please visit Crossref site

1. Reducción de la impedancia de salida en inversores monofásicos para UPS con multi-lazo convencional y plug-in repetitivo
Juan Astrada, Cristian De Angelo
Revista Iberoamericana de Automática e Informática industrial  vol: 16  num.: 4  primera página: 391  año: 2019  
doi: 10.4995/riai.2019.11034



Creative Commons License

Esta revista se publica bajo una Licencia Creative Commons Attribution-NonCommercial-CompartirIgual 4.0 International (CC BY-NC-SA 4.0)

Universitat Politècnica de València     https://doi.org/10.4995/riai

e-ISSN: 1697-7920     ISSN: 1697-7912