Experimental implementation of extended multivariable PPF control on an active structure

IEEE Transactions on Control Systems Technology

Volumn 14, Issue 3, 2006, Pages 443-455

  Moheimani, S O Reza ^a   Vautier, Benjamin J G ^a   Bhikkaji, Bharath ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Flexible structures; Multivariable systems; Piezoelectric transducers; Positive position feedback (PPF); Vibration control

Indexed keywords

ACTUATORS; FEEDBACK CONTROL; FLEXIBLE STRUCTURES; MATRIX ALGEBRA; MULTIVARIABLE SYSTEMS; PIEZOELECTRIC TRANSDUCERS; POSITION CONTROL; SENSORS; VIBRATION CONTROL;

CANTILEVERED BEAM; PIEZOELECTRIC ACTUATORS; POSITIVE POSITION FEEDBACK (PPF) CONTROL;

CONTROL EQUIPMENT;

EID: 33646041580     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2006.872532     Document Type: Article

References (35)

1. M. J. Balas, "Active control of flexible systems," J. Optim. Theory Appl., vol. 25, no. 3, pp. 415-436, 1978.
2. M. J. Balas, "Feedback control of flexible systems," IEEE Trans. Autom. Contr., vol. AC-23, no. 4, pp. 673-679, Aug. 1978.
3. C. W. de Silva, Vibration Fundamentals and Practice. Boca Raton, FL: CRC, 1999.
4. J. Juang and M. Q. Phan, Identification and Control of Mechanical Systems. Cambridge, U.K.: Cambridge Univ. Press, 2001.
5. S. O. R. Moheimani and B. J. G. Vautier, "Resonant control of structural vibration using charge-driven piezoelectric actuators," presented at the IEEE Conf. Decision and Control, 2004.
6. C. J. Goh and T. K. Caughey, "On the stability problem caused by finite actuator dynamics in the collocated control of large space structures," Int. J. Contr., vol. 41, no. 3, pp. 787-802, 1985.
7. J. L. Fanson and T. K. Caughey, "Positive position feedback-control for large space structures," AIAA J., vol. 28, no. 4, pp. 717-724, Apr. 1990.
8. L. Meirovitch, Elements of Vibration Analysis, 2nd ed. Sydney, Australia: McGraw-Hill, 1986.
9. R. L. Clark, "Accounting for out-of-bandwidth modes in the assumed modes approach: Implications on colocated output feedback control," Trans. ASME, J. Dyn. Syst., Meas., Contr., vol. 119, no. 1, pp. 390-395, Mar. 1997.
10. S. O. R. Moheimani, "Experimental verification of the corrected transfer function of a piezoelectric laminate beam," IEEE Trans. Contr. Syst. Technol., vol. 8, no. 4, pp. 660-666, Jul. 2000.
11. P. C. Hughes, "Space structure vibration modes: How many exist? Which ones are important?," IEEE Contr. Syst. Mag., vol. 8, no. 1, pp. 22-28, Feb. 1987.
12. G. D. Martin, "On the control of flexible mechanical systems," Ph.D. dissertation, Dept. Aeronaut. Astronaut., Stanford Univ., Stanford, CA, 1978.
13. J. N. Aubrun, "Theory of control of structures by low-authority controllers," Int. J. Contr., vol. 3, no. 5, pp. 444-451, 1980.
14. A. G. Kelkar and S. M. Joshi, "Control of elastic systems via passivity-based methods," J. Vibr. Contr., vol. 10, no. 11, pp. 1699-1735, Nov. 2004.
15. A. G. Kelkar and S. M. Joshi, "Passivity-based robust control with application to benchmark active controls technology wing," J. Guid., Contr. Dyn., vol. 23, no. 5, pp. 938-947, Sep.-Oct. 2000.
16. R. L. Bisplinghoff and H. Ashley, Principles of Aeroelasticity. New York: Dover, 1962.
17. S. O. R. Moheimani, "Minimizing the effect of out of bandwidth modes in truncated structure models," Trans. ASME J. Dyn. Syst., Meas., Contr., vol. 122, no. 1, pp. 237-239, Mar. 2000.
18. S. O. R. Moheimani and W. P. Heath, "Model correction for a class of spatio-temporal systems," Automatica, vol. 38, no. 1, pp. 147-155, Jan. 2002.
19. M. M. Seron, J. H. Braslavsky, and G. C. Goodwin, Fundamental Limitations in Filtering a Control. London, U.K.: Springer, 1997.
20. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
21. K. H. Rew, J. H. Han, and I. Lee, "Multi-modal vibration control using adaptive positive position feedback," J. Intell. Mater. Syst. Struct., vol. 13, no. 1, pp. 13-22, Jan. 2002.
22. G. Song, P. Z. Qiao, W. K. Binienda, and G. P. Zou, "Active vibration damping of composite beam using smart sensors and actuators," J. Aerosp. Eng., vol. 15, no. 3, pp. 97-103, Jul. 2002.
23. J. H. Han, J. Tani, and I. Lee, "Multi-modal vibration control of smart composite plates," Mater. Sci. Res. Int., vol. 5, no. 2, pp. 122-127, Jun. 1999.
24. L. Vaillon and C. Philippe, "Passive and active microvibration control for very high pointing accuracy space systems," Smart Mater. Struct., vol. 8, no. 6, pp. 719-728, Dec. 1999.
25. C. Choi and K. Park, "Self-sensing magnetic levitation using a 1c resonant circuit," Sens. Actuators A, vol. 72, no. 2, pp. 169-177, Jan. 1999.
26. M. I. Friswell, D. J. Inman, and R. W. Rietz, "Active damping of thermally induced vibrations," J. Intell. Mater. Syst. Struct., vol. 8, no. 8, pp. 678-685, Aug. 1997.
27. D. J. Leo and D. J. Inman, "Pointing control and vibration suppression of a slewing flexible frame," J. Guid. Contr. Dyn., vol. 17, no. 3, pp. 529-536, 1994.
28. S. Devasia, T. Meressi, B. Paden, and E. Bayo, "Piezoelectric actuator design for vibration suppression - Placement and sizing," J. Guid. Contr. Dyn., vol. 16, no. 5, pp. 859-864, 1993.
29. J. L. Fanson, E. H. Anderson, and D. Rapp, "Active structures for use in precision control of large optical-systems," Opt. Eng., vol. 29, no. 11, Nov. 1990.
30. S. O. R. Moheimani, D. Halim, and A. J. Fleming, Spatial Control of Vibration: Theory and Experiments, Singapore: World Scientific, 2003.
31. B. J. G. Vautier, "Charge-driven piezoelectric actuators in structural vibration control applications," M.S. thesis, Dept. Elect. Eng., Univ. Newcastle, Newcastle, Australia, 2004.
32. T. McKelvey, H. Ackay, and L. Ljung, "Subspace-based identification of infinite-dimensional multi-variable systems from frequency-response data," IEEE Trans. Autom. Contr., vol. AC-41, no. 7, pp. 960-979, Jul. 1996.
33. G. Song, S. P. Schmidt, and B. N. Agrawal, "Experimental robustness study of positive position feedback control for active vibration suppression," J. Guid., Contr., Dyn., vol. 25, no. 1, pp. 179-182, 2002.
34. J. L. Fanson and T. K. Caughey, "Positive position feedback control for large space strcture," in Proc. 28th AIAA/ASME/ASC/AHS Structures Structural Dynamics and Materials Conf., Monterey, CA, 1987, pp. 588-598.
35. K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control. Englewood Cliffs, NJ: Prentice Hall, 1996.