Gain-scheduled state-feedback control for active cancellation of multisine disturbances with time-varying frequencies

• Autorzy: Heins W. , Ballesteros P. , Bohn C.

Warianty tytułu

PL

Dyskretny regulator LTV do eliminacji składowych harmonicznych zakłóceń ze zmienną w czasie częstotliwością

• Języki publikacji: EN

Abstrakty

EN

The paper presents a discrete-time LTV controller for the rejection of harmonic disturbances with time-verying based on a state-augmented observer-based state-feedback controller with a time-verying internal model and a scheduled state-feed back gain. The control design method is based on quadratic stability for LPV systems. The design is carried out in discrete time and the controller can easily be implemented on real-time hardware.

PL

W pracy przedstawiono dyskretny regulator LTV do eliminacji składowych harmonicznych zakłóceń. Wprowadzony regulator bazuje na sprzężeniu od zmiennych stanu z zależnym od czasu wewnętrznym modelem. Konstrukcja regulatora wykorzystuje własności stabilności układów LPV. Regulator został opisany równaniami dyskretnymi i może być łatwo zaimplementowany w układach czasu rzeczywistego.

Słowa kluczowe

EN

active noise control; disturbance rejection; gain scheduling; linear parameter-varying systems; observers; state feedback

PL

aktywne sterowanie hałasem; redukcja zakłóceń; układ liniowy niestacjonarny; obserwator; sprzężenie od stanu

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Mechanics and Control
• Rocznik: 2011
• Tom: Vol. 30, no. 3
• Strony: 127--137
• Opis fizyczny: Bibliogr. 30 poz., rys., wykr.

Twórcy

autor

Heins W.

autor

Ballesteros P.

autor

Bohn C.

• Institute of Electrical Information Technology, Clausthal University of Technology, Leibnizstr. 28, 38678 Clausthal-Zellerfeld, Germany

Bibliografia

• [1] Koroglu H., Scherer C.W. 2008, Robust generalized asymptotic regulation against non-stationary sinusoidal disturbances. Proc. of the 47th IEEE Conference on Decision and Control, Cancun, December 2008, 5426-31.
• [2] Kinney C.E., de Callafon R.A. 2006, Scheduling control for periodic disturbance attenuation. Proc. of the American Control Conference. Minneapolis, June 2006, 4788-93.
• [3] Kuo S.M., Morgan D.R. 1996, Active noise control systems. New York, Wiley.
• [4] Morari M. Zafiriou E. 1989, Robust process control. Englewood Cliffs, Prentice Hall.
• [5] Apkarian P., Gahinet P., Becker G. 1995, Self-scheduled H∞ control of linear parameter-varying systems: A design example. Automatica 31, 1251-61.
• [6] Du, H., Shi X. 2002, Gain-scheduled H∞ control for use in vibration suppression of system with harmonic excitation. Proc. of the American Control Conference. Anchorage, May 2002, 4668-69.
• [7] Du H., Zhang L., Shi X. 2003, LPV technique for the rejection of sinusoidal disturbance with time-varying frequency. IEE Proc. on Control Theory and Applications 150,132-38.
• [8] Bohn C, Cortabarria A., Hartel V., Kowalczyk K. 2003, Disturbance-observer-based active control of engine-induced vibrations in automotive vehicles. Proc. of the SPIE's 10th Annual International Symposium on Smart Structures and Materials. San Diego, March 2003. Paper No. 5049-68.
• [9] Kowalczyk K., Svaricek F., Bohn C. 2004, Disturbance-observer-based active control of transmission-induced vibrations. Proc. of the IFAC Symposium on Advances in Automotive Control, Salerno, April 2004, 78-83.
• [10] Bohn C, Cortabarria A., Hartel V., Kowalczyk K. 2004, Active control of engine-induced vibrations in automotive vehicles using disturbance observer gain scheduling. Control Engineering Practice 12, 1029-39.
• [11] Kinney C.E., de Callafon R.A. 2007, A comparison of fixed point designs and time-varying observers for scheduling repetitive controllers. Proc. of the 46th IEEE Conference on Decision and Control, New Orleans, December 2007, 2844-49.
• [12] Kinney C.E., de Callafon R.A. 2006, An adaptive internal model-based controller for periodic disturbance rejection. Proc. of the 14th IFAC Symposium on System Identification. Newcastle, Australia, March 2006, 273-78.
• [13] Gruenbacher E.,Furtmueller C, del Re L. 2007, Suppression of frequency varying periodic disturbances in continuous casting using an internal model predictor. Proc. of the American Control Conference. New York City, July 2007, 4142^7.
• [14] Koroglu PL, Scherer C.W. 2008b, LPVcontrol for robust attenuation of non-stationary sinusoidal disturbances with measurable frequencies. Proc. of the 17th IFAC World Congress. Seoul, July 2008, 4928-33.
• [15] Koroglu H., Scherer C.W. 2011, Scheduled control for robust attenuation of non-stationary sinusoidal disturbances with measurable frequencies. Automatica 47, 504-14.
• [16] Apkarian P., Gahinet P. 1995, A convex characterization of gain-scheduled H∞ controllers. IEEE Transactions on Automatic Control 40, 853-64.
• [17] Witte J., Balini H.M.N.K., Scherer C.W. 2010, Experimental results with stable and unstable LPV controllers for active magnetic bearing systems. Proc. of the IEEE International Conference on Control Applications. Yokohama, September 2010, 950-55.
• [18] Dettori M., Scherer C.W. 2001, LPV design for a CD player: an experimental evaluation of performance. Proc. of the 40th IEEE Conference on Decision and Control. Orlando, December 2001, 4711-16.
• [19] Ballesteros P., Bohn C. 2011, A frequency-tunable LPV controller for narrowband active noise and vibration control. Proc. of the American Control Conference. San Francisco, June/July 2011, 1340-45.
• [20] Ballesteros P., Bohn C. 2011, Disturbance rejection through LPV gain-scheduling control with application to active noise cancellation. Proc. of the 18th IFAC World Congress. Milan, August/September 2011, 7897-902.
• [21] Shu, X., Ballesteros P., Bohn C. 2011, Active vibration control for harmonic disturbances with time-varying frequencies through LPV gain scheduling. Proc. of the 23rd Chinese Control and Decision Conference. Mianyang, China, May 2011, 728-33.
• [22] Feintuch P. L., Bershad N. J., Lo A.K. 1993, A frequency-domain model for filtered LMS algorithms - Stability analysis, design, and elimination of the training mode. IEEE Transactions on Signal Processing 41, 1518-31.
• [23] Apkarian P. 1997. On the discretization of LML-synthesized linear parameter-varying controllers. Automatica 33, 655-61.
• [24] Ogata K. 1995, Discrete-time control systems, 2nd ed. Englewood Cliffs, Prentice Hall.
• [25] Francis B., Wonham W 1976, The internal model principle of control theory. Automatica 12, 457-65.
• [26] Amato F. 2006, Robust control of linear systems subject to uncertain time-varying parameters. Berlin: Springer.
• [27] Horn R. A., Johnson C.R. 1985, Matrix analysis. Cambridge: Cambridge UP.
• [28] Gahinet P., Nemirovskii A., Laub A.J., Chilali M. 1995, LMI control toolbox. The Mathworks Inc.
• [29] Daafouz J., Bara G.I., Kratz F., Ragot J. 2000, State observers for discrete-time LPV systems: An interpolation based approach. Proc. of the 39th IEEE Conference on Decision and Control. Sydney, December 2000, 4571-72.
• [30] Hong J.H., Bernstein D.S. 1998, Bode integral constraints, colocation, and spillover in active noise and vibration control. IEEE Transactions on Control Systems Technology 6, 111-20.