Control of elastic systems via passivity-based methods

JVC/Journal of Vibration and Control

Volumn 10, Issue 11, 2004, Pages 1699-1735

  Kelkar, A G ^a   Joshi, S M ^b  

^a Iowa State University of Science and Technology   (United States)

^b NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

Dissipative systems; Elastic systems; Passivity; Robust control; Vibration control

Indexed keywords

ACTUATORS; ELASTICITY; FLEXIBLE STRUCTURES; MANIPULATORS; MATHEMATICAL MODELS; ROBUSTNESS (CONTROL SYSTEMS); SENSORS; VIBRATION CONTROL;

DISSIPATIVE SYSTEMS; ELASTIC MODES; ELASTIC SYSTEMS; PASSIVITY;

NONLINEAR SYSTEMS;

EID: 9744248247     PISSN: 10775463     EISSN: None     Source Type: Journal    
DOI: 10.1177/1077546304042066     Document Type: Article

References (43)

1. Abrishamchian, M. and Afshar, N., 1997, "A new approach to the robust control synthesis design for the ACC-benchmark problem (undamped, non-colocated spring-mass system)," in Proceedings of the American Control Conference, Albuquerque, NM, Vol. 6, pp. 3859-3860.
2. Balakrishnan, A. V., 1993, "Compensator design for stability enhancement with collocated controllers: Explicit solutions," IEEE Transactions Automatic Control 38 (3), 505-507.
3. Balakrishnan, A. V., 1996, "Robust stabilizing compensators for flexible structures with collocated controls," Applied Mathematics and Optimization 33, 35-60.
4. Bloch, A. M., Chang, D. E., Leonard, N. E., and Marsden, J. E., 2001, "Controlled Lagrangians and the stabilization of mechanical systems II: Potential shaping," IEEE Transactions on Automatic Control 46 (10), 1556-1571.
5. Goh, K.-C., Ly, J. H., Turan, L., and Safonov, M. G., 1994, "μ-synthesis via bilinear matrix inequalities," in Proceedings of the 33rd IEEE Conference on Decision and Control, Lake Buena Vista, FL, Vol. 3, pp. 2032-2037.
6. Gosavi, S. V. and Kelkar, A. G., 2001, "Passivity-based robust control of piezo-actuated flexible beam," in Proceedings of the 2001 American Control Conference, Arlington, VA, pp. 2493-2497.
7. Hill, D. J., 1994, "Nonlinear controller design using passivity and small gain techniques," in 1994 IEEE CDC Workshop, Orlando, FL.
8. Isidori, A., Joshi, S. M., and Kelkar, A. G., 1999, "Asymptotic stability of interconnected passive non-linear systems," International Journal of Robust and Nonlinear Control 9, 261-273.
9. Jayasuriya, S., Yaniv, O., Nwokah. O., and Chait, Y., 1992, "The benchmark problem solution for quantitative feedback theory," Journal of Guidance, Control, and Dynamics 15 (5), 1087-1093.
10. Joshi, S. M., 1989, Control of Large Flexible Space Structures, Lecture Notes in Control and Information Sciences Vol. 131, Springer-Verlag, Berlin.
11. Joshi, S. M. and Gupta, S., 1996, "On a class of marginally stable positive-real systems," IEEE Transactions on Automatic Control 41 (1), 152-155.
12. Joshi. S. M. and Kelkar, A. G., 2001, "Passivity-based robust control of systems with redundant sensors and actuators," International Journal of Control 74 (5), 474-481.
13. Joshi, S. M., Kelkar, A. G., and Maghami, P. G., 1995, "A class of stabilizing controllers for flexible multibody systems," NASA Technical Paper 3494.
14. Kelkar, A. G. and Joshi, S. M., 1996, Control of Nonlinear Multibody Flexible Space Systems. Lecture Notes in Control and Information Sciences Vol. 221, Springer-Verlag, Berlin.
15. Kelkar, A. G. and Joshi, S. M., 1997, "Robust control of non-passive systems via passification," in Proceedings of the 1997 American Control Conference, Albuquerque, NM, June 4-6, Vol. 5, pp. 2657-2661.
16. Kelkar, A. G. and Joshi, S. M., 1998, "Robust passification and control of non-passive systems," in Proceedings of the American Control Conference, Philadelphia, PA, pp. 3133-3137.
17. Kelkar, A. G. and Joshi, S. M., 2000, "Passivity-based robust control with application to benchmark active controls technology wing," AIAA Journal of Guidance, Control, and Dynamics 23 (5), 938-947.
18. Kelkar, A. G. and Joshi, S. M., 2001, "An approach to acoustic noise control using passivity techniques," in Proceedings of the ASME IMECE 2001, New York, No. DSC-24553, pp. 1-6.
19. Kelkar, A. G. and Pota, H. R., 2003, "Robust broadband control of acoustic noise in ducts: A passivity-based approach," International Journal of Noise Control Engineering 51 (2), 97-105.
20. Kelkar, A. G., Joshi, S. M. and Alberts, T. E., 1995a, "Dissipative controllers for nonlinear multibody flexible space systems," Journal of Guidance, Control, and Dynamics 18 (5), 1044-1052.
21. Kelkar, A. G., Joshi, S. M., and Alberts, T. E., 1995b, "Passivity-based controllers for flexible multibody systems,'' IEEE Transactions on Automatic Control 40 (5), 910-914.
22. Kelkar, A. G., Mao, Y., and Joshi, S. M., 2000, "LMI-based passification for control of non-passive systems," in Proceedings of the 2000 American Control Conference, Chicago, IL, June 28-30, pp. 28-30.
23. Kruck, K., 2002. "Robust control of elastic structures with applications to terrestrial and space structures," MS Thesis, Mechanical Engineering Department, Iowa State University.
24. Kruck, K. and Kelkar, A. G., 2002, "Robust control of elastic structures subjected to earthquake and wind disturbances," in Proceedings of 2002 ASME International Mechanical Engineering Congress and Exposition, New Orleans, LA, Paper ID lMECE2002-DSC-33558.
25. Linder, S. P. and Shafai, B., 1999, "Qualitative robust fuzzy control with applications to 1992 ACC benchmark," IEEE Transactions on Fuzzy Systems 7 (4), 409-421.
26. Lozano-Leal, R. and Joshi, S. M., 1990a, "Strictly positive real functions revisited," IEEE Transactions on Automatic Control 35, 1243-1245.
27. Lozano-Leal, R. and Joshi, S. M., 1990b, "On the design of dissipative lqg-type controllers," in Recent Advances in Robust Control, P. Dorato and R. K. Yedavalli, eds., IEEE Press, New York.
28. Maghami, P. G, Gupta, S., Elliott, K. B., Joshi. S. M., and Walz, J. E., 1994, "Experimental validation of an integrated controls-structures design methodology for a class of flexible space structures," NASA TP-3462.
29. Mao, Y., Kelkar, A. G., and Joshi, S. M., 1999, "Synthesis of optimal constant-gain positive real controllers," in Proceedings of the 1999 American Control Conference, San Diego, CA, pp. 2-4.
30. Mukhopadhyay, V., 1999, "Transonic flutter suppression control law design and wind tunnel test results," AIAA Paper No. 99-1396.
31. Niemann, H. H., Stoustrup, J., Toffner-Clausen, S., and Andersen,P., 1997, "μ-synthesis for the coupled mass benchmark problem," in Proceedings of the 1997 American Control Conference, Albuquerque, NM, Vol. 4, pp. 2611-2615.
32. Oostveen, J. C. and Curtain, R. F., 2000, "Robustly stabilizing controllers for dissipative infinite-dimensional systems with collocated actuators and sensors," Automatica 36, 337-348.
33. Ortega. R., Loria, A., Nicklasson, P. J., and Sira-Ramirez, H., 1998, Passivity-Rased Control of Euler-Lagrange Systems, Springer-Verlag, Berlin.
34. Ortega. R., van der Schaft, A. J., Mareels, I., and Mashke, B. 2001, "Putting energy back in control," IEEE Control Systems Magazine 18-33.
35. Pota, H. R. and Kelkar, A. G., 2001, "Modeling and control of acoustic ducts," ASME Journal of Vibration and Acoustics 123, 2-10.
36. Sepulchre, R., Jankovic, M., and Kokotovic, P. V., 1997. Constructive Nonlinear Control, Communication & Control Engineering Series, Springer-Verlag, Berlin.
37. van der Schaft, A. J., 2000, L2-Gain and Passivity Techniques, Communication & Control Series, Springer-Verlag, Berlin.
38. Vidyasagar, M. 1993, Nonlinear Systems Analysis, Prentice-Hall, Englewood Cliffs, NJ.
39. Wie, B. and Bernstein, D. S., 1990, "A benchmark problem for robust control design," in Proceedings of the American Control Conference, San Diego, CA, pp. 961-962.
40. Wie, B. and Bernstein, D. S., 1992, "Benchmark problems for robust control design," Journal of Guidance, Control, and Dynamics 15 (5), 1057-1059.
41. Willems. J. C., 1972a, "Dissipative dynamical systems - Part I. General theory," Archive for Rational. Mechanics and Analysis 45, 321-351
42. Willems, J. C., 1972b, "Dissipative dynamical systems - Part II. General theory," Archive for Rational Mechanics and Analysis 45, 352-391.
43. Waszak, M. R., 1996. "Modeling the benchmark active control technology wind-tunnel model for application to flutter suppression," in AIAA Atmospheric Flight Mechanics Conference, San Diego, CA, July 29-31, AIAA Paper No. 96-3437.