Approximate inversion of the Preisach hysteresis operator with application to control of smart actuators

IEEE Transactions on Automatic Control

Volumn 50, Issue 6, 2005, Pages 798-810

  Iyer, Ram Venkataraman ^a   Tan, Xiaobo ^b   Krishnaprasad, P S ^c  

^a TEXAS TECH UNIVERSITY   (United States)

^b Michigan State University   (United States)

^c UNIVERSITY OF MARYLAND   (United States)

Author keywords

Approximate inversion; Closest match algorithm; Electro active polymers; Fixed point iteration algorithm; Hysteresis; Magnetostriction; Piezoelectricity; Preisach operator; Regularization; Shape memory alloys; Smart actuators

Indexed keywords

ACTUATORS; ALGORITHMS; APPROXIMATION THEORY; HYSTERESIS; INTELLIGENT MATERIALS; INVERSE PROBLEMS; ITERATIVE METHODS; MAGNETOSTRICTION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PIEZOELECTRICITY; SHAPE MEMORY EFFECT;

APPROXIMATE INVERSION; CLOSEST MATCH ALGORITHM; FIXED POINT ALGORITHM; PREISACH OPERATOR; SMART ACTUATORS;

CONTROL SYSTEM SYNTHESIS;

EID: 21344451372     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2005.849205     Document Type: Article

References (26)

1. D. C. Jiles and D. L. Atherton, "Theory of ferromagnetic hysteresis," J. Magn. Magn. Mater., vol. 61, pp. 48-60, 1986.
2. R. Venkataraman and P. S. Krishnaprasad, "A model for a thin magnetostrictive actuator," in Proc. Conf. Information Sciences and Systems, Mar. 18-20, 1998.
3. R. Venkataraman, "Modeling and adaptive control of magnetostrictive actuators," Ph.D. dissertation, Univ. Maryland, College Park, MD, 1999.
4. I. D. Mayergoyz, Mathematical Models of Hysteresis. New York: Springer-Verlag, 1991.
5. D. Hughes and J. T. Wen, "Preisach modeling and compensation for smart material hysteresis," Active Mater. Smart Struct., vol. 2427, pp. 50-64, 1994.
6. A. A. Adly, I. D. Mayergoyz, and A. Bergvist, "Preisach modeling of magnetostrictive hysteresis," J. Appl. Phys., vol. 69, no. 8, pp. 5777-5779, 1991.
7. R. V. Iyer and M. E. Shirley, "Hysteresis parameter identification with limited experimental data," IEEE Trans. Magn., vol. 40, no. 5, pp. 3227-3239, Sep. 2004.
8. R. B. Gorbet, D. W. L. Wang, and K. A. Morris, "Preisach model identification of a two-wire SMA actuator," in Proc. IEEE Int. Conf. Robotics and Automation, 1998, pp. 2160-2160.
9. A. Ktena, D. I. Fotiadis, P. D. Spanos, and C. V. Massalas, "A preisach model identification procedure and simulation of hysteresis in ferromagnets and shape-memory alloys," Physica B, no. 306, pp. 84-90, 2001.
10. G. Tao and P. V. Kokotović "Adaptive control of plants with unkown hystereses," IEEE. Trans. Automat. Control, vol. 40, no. 2, pp. 200-212, Feb. 1995.
11. R. C. Smith, "Inverse compensation for hysteresis magnetostrictive transducers," North Carolina St. Univ., Raleigh, NC, Tech. Rep. CRSC-TR98-36, 1998.
12. W. S. Galinaitis and R. C. Rogers, "Control of a hysteretic actuator using inverse hysteresis compensation," in Math. Control Smart Struct., V. V. Varadhan, Ed., 1998, vol. 3323, pp. 287-277.
13. M. Brokate and J. Sprekels, Hysteresis and Phase Transitions. New York: Springer-Verlag, 1996.
14. A. Visintin, Differential Models of Hysteresis. New York: Springer-Verlag, 1994.
15. R. Venkataraman and P. S. Krishnaprasad, "Approximate inversion of hysteresis: Theory and numerical results," in Proc. 39th IEEE Conf. Decision and Control, 2000, pp. 4448-4454.
16. E. Zeidler, Nonlinear Functional Analysis and its Applications I: Fixed-Point Theorems. New York: Springer-Verlag, 1986.
17. X. Tan, R. Venkataraman, and P. S. Krishnaprasad, "Control of hysteresis: Theory and experimental results," in Modeling, Control and Signal Processing in Smart Structures, V. Rao, Ed. Bellingham, WA: SPIE, 2001, Smart Structures and Materials, pp. 101-112.
18. K. K. Leang and S. Devasia, "Iterative feedforward compensation of hysteresis in piezo positioners," in Proc. 42nd IEEE Conf. Decision and Control, Dec. 2003, pp. 2626-2631.
19. F. H. Clarke, Y. S. Ledyaem, R. J. Stern, and R. R. Wolenski, Nonsmooth Analysis and Control Theory. New York: Springer-Verlag, 1998.
20. A. Kirsch, A Mathematical Introduction to the Theory of Inverse Problems. New York: Springer-Verlag, 1996.
21. P. Wojtaszczyk, Banach Spaces for Analysts. Cambridge, U.K.: Cambridge Univ. Press, 1991.
22. K. D. Joshi, Introduction to General Topology. New York: Wiley, 1988.
23. R. J. Zimmer, Essential Results of Functional Analysis, ser. Chicago Lectures in Mathematics. Chicago, IL: Univ. Chicago Press, 1990.
24. X. Tan, "Control of smart actuators," Ph.D. dissertation, Univ. Maryland, College Park, MD, 2002.
25. M. Shirley and R. Venkataraman, "On the identification of preisach measures," in Modeling, Signal Processing and Control in Smart Structures and Materials, R. Smith, Ed. Bellingham, WA: SPIE, 2003, vol. 5049, pp. 326-336.
26. X. Tan and J. S. Baras, "Modeling and control of hysteresis in magnetostrictive actuators," Automatica, vol. 40, no. 9, pp. 1469-1480, 2004.