Model-based piezoelectric hysteresis and creep compensation for highly-dynamic feedforward rest-to-rest motion control of piezoelectrically actuated flexible structures

International Journal of Engineering Science

Volumn 47, Issue 11-12, 2009, Pages 1193-1207

  Gaul, Lothar ^a   Becker, Jens ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Creep; Ferroelectricity; Flexures; Hysteresis compensation; Motion control; Piezoelectricity

Indexed keywords

CONTROL COMMAND; CONTROL DESIGN; CREEP EFFECTS; CREEP MODEL; FAST POSITIONING; FEED-FORWARD; FLEXURES; HYSTERESIS COMPENSATION; INPUT NONLINEARITIES; INVERSE FILTERS; INVERSION PROCEDURE; LARGE-SIGNALS; LINEAR DYNAMICS; LINEAR MODEL; LINEAR PIEZOELECTRICITY; MECHANICAL STRUCTURES; MODEL BASED APPROACH; MODEL-BASED; NONLINEAR EFFECT; PIEZOELECTRIC HYSTERESIS; PIEZOELECTRIC STRUCTURES; SERIES CONNECTIONS; SMALL SIGNAL; STRUCTURAL MODES; TRACKING CONTROLS; TRACKING PERFORMANCE; VOLTAGE OPERATIONS; VOLTAGE RANGES;

CANTILEVER BEAMS; CREEP; CRYSTALLOGRAPHY; FERROELECTRICITY; FLEXIBLE STRUCTURES; HYSTERESIS; MODAL ANALYSIS; MODEL STRUCTURES; MOTION CONTROL; MOTION PLANNING; NONLINEAR SYSTEMS; PIEZOELECTRIC ACTUATORS; PIEZOELECTRIC TRANSDUCERS; PIEZOELECTRICITY; PYROELECTRICITY; SIGNAL PROCESSING; SIMULATORS; STRUCTURAL DYNAMICS; VIBRATIONS (MECHANICAL);

FEEDFORWARD CONTROL;

EID: 71649102616     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2009.07.006     Document Type: Article

References (28)

1. Physik Instrumente (PI) GmbH & Co. KG, PI Nanopositioning & Micropositioning Catalog, 2007. .
2. J. Becker, T. Meurer, L. Gaul, Flatness-based feedforward control design for flexible structures, in: IEEE International Conference on Control Applications, 2006, pp. 650-655.
3. Becker J., and Meurer T. Feedforward tracking control for non-uniform Timoshenko beam models: combining differential flatness, modal analysis and FEM, ZAMM. J. Appl. Math. Mech. 87 1 (2007) 37-58
4. Fuller C., Elliott S., and Nelson P. Active Control of Vibration (1996), Academic Press
5. Preumont A. Vibration Control of Active Structures (1997), Kluwer Academic Publishers, Dordrecht, Netherlands
6. ∞ control on a piezoelectric-laminate beam. IEEE/ASME Trans. Mechatron. 7 3 (2002) 346-356
7. G. Gatti, M.J. Brennan, P. Gardonio, Active damping of a beam using a physically collocated accelerometer and piezoelectric patch actuator, J. Sound Vibrat. 303 (3-5) (2007) 798-813. doi:10.1016/j.jsv.2007.02.006; http://www.sciencedirect.com/science/article/B6WM3-4NH6N96-1/2/13ee638f653d035bca14ce9109e1cd96.
8. Gaul L., and Stöbener U. A modal controller with integrated radiation filters for active suppression of sound radiation. In: Breitbach L., Campanile L., and Monner H. (Eds). Proceedings of the 13th International Conference on Adaptive Structures and Technologies (2003), CRC Press, Boca Raton 246-255
9. Horowitz I. Synthesis of Feedback Systems (1963), Academic Press, New York
10. A. Kugi, D. Thull, Infinite-dimensional decoupling control of the tip position and the tip angle of a composite piezoelectric beam with tip mass, in: Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems, vol. 322, Berlin, 2005, pp. 351-368.
11. Laroche B., Martin P., and Rouchon P. Motion planning for the heat equation. Int. J. Robust Nonlinear Control 10 (2000) 629-643
12. T. Meurer, M. Zeitz, Two-degree-of-freedom tracking control design for boundary controlled distributed parameter systems using formal power series, in: Proceedings (CD-Rom) of the 43rd IEEE Conference on Decision and Control, Bahamas, 2004, pp. 3307-3312.
13. Fliess M., Lévine J., Martin P., and Rouchon P. Flatness and defect of nonlinear systems: introductory theory and examples. Int. J. Control 61 (1995) 1327-1361
14. Y. Aoustin, M. Fliess, H. Mounier, P. Rouchon, J. Rudolph, Theory and practice in the motion planning and control of a flexible robot arm using Mikusiński operators, in: Proceedings of the 5th IFAC Symposium on Robot Control, Nantes, France, 1997, pp. 287-293.
15. Rudolph J., and Woittenek F. Flachheitsbasierte Steuerung eines Timshenko-balkens. Zeitschrift für angewandte Mathematik und Mechanik 2 83 (2003) 119-127
16. W. Singhose, N. Singer, W. Seering, Comparison of command shaping methods for reducing residual vibration, in: Proceedings of the European Control Conference, 1995.
17. V. Piefort, Finite Element Modelling of Piezoelectric Active Structures, Ph.D. Thesis, Université libre de Bruxelles, 2001.
18. P. Rouchon, Flatness based control of oscillators, ZAMM 85 (6) (2005) 411-421. .
19. T. Meurer, M. Zeitz, A modal approach to flatness-based control of flexible structures, in: Proc. Appl. Math. Mech. (PAMM), vol. 4, 2003, pp. 133-134.
20. Curtain R., and Zwart H. An Introduction to Infinite-Dimensional Linear Systems Theory. 21st ed. Texts in Applied Mathematics (1995), Springer-Verlag, New York
21. Draft 16 of a working document for a proposed standard to be entitled: IEEE standard definitions of terms associated with ferroelectric and related materials, IEEE Trans. Ultrason. Ferroelectr. Frequency Control 50 (12) (2003) 1613ff.
22. Landis C.M. nonlinear constitutive modeling of ferroelectrics. Solid State Mater. Sci. 8 (2004) 59-69
23. Krejci P., and Kuhnen K. Inverse control of systems with hysteresis and creep. Control Theory Appl., IEE Proc. 148 3 (2001) 185-192
24. G. Gnad, Ansteuerkonzept für piezoelektrische Aktoren, Ph.D. Thesis, Fakultät für Maschinenbau der Otto-von-Guericke-Universität, Germany, 2005.
25. K. Kuhnen, Inverse Steuerung piezoelektrischer Aktoren mit Hysterese-, Kriech- und Superpositionsoperatoren, Shaker Verlag, 2001.
26. VDI Richtlinie 3830: Werkstoff- und Bauteildämpfung, Verein Deutscher Ingenieure, Düsseldorf, 1998. doi:ICS01.040.17.17.160.
27. E. Madelung, Über Magnetisierung durch schnellverlaufende Ströme und die Wirkungsweise des Rutherford-Marconischen Magnetdetektor, Annalen der Physik 322 (10) (1905) 861-890. http://www.dx.doi.org/10.1002/andp.19053221003.
28. J. Becker, Semi-Active Control of Friction Dampers and Feedforward Tracking Control Design for Structural Vibration Reduction, PhD Thesis, Institute of Applied and Experimental Mechanics, University of Stuttgart, Germany, 2009.