Non-linear control strategies for duffing systems

International Journal of Non-Linear Mechanics

Volumn 33, Issue 5, 1998, Pages 829-841

  Agrawal, A K ^a   Yang, J N ^a   Wu, J C ^b  

^a University of California at Irvine   (United States)

^b TAMKANG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001676456     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7462(97)00055-3     Document Type: Article

References (34)

1. S. F. Masri, G. A. Bekey and T. K. Caughey, On-line control of nonlinear flexible structures, ASME J. Appl. Mech. 49, 871-884 (1981).
2. S. F. Masri, G. A. Bekey and T. K. Caughey, On-line pulse control of flexible structures, ASME J. Appl. Mech. 48, 619-626 (1981).
3. A. M. Reinhorn, G. D. Manolis and C. Y. Wen, Active control of inelastic structures. ASCE J. Engng Mech. 113, 315-333 (1987).
4. A. M. Reinhorn, T. T. Soong and C. Y. Yen, Base-isolated structures with active control. ASME Recent Advances in Design, Analysis, Testing and Qualification Methods, PVP 127, 413-419 (1987).
5. M. Abdel-Rohman and A. H. Nayfeh, Active control of nonlinear oscillations in bridges. ASCE J. Engng Mech. 113, 335-348 (1987).
6. M. Shefer and J. V. Breakwell, Estimation and control with cubic nonlinearities. J. Optim. Theory Appl. 53, 1-7 (1987).
7. M. P. Kamat, Active control of structures in nonlinear response. ASCE J. Aero. Engng 1, 52-62 (1988).
8. S. M. Nagarajaiah, M. A. Riley and A. M. Reinhorn, Hybrid control of sliding isolated bridges. ASCE J. Engng Mech. 119 (11), 2317-2332 (1993).
9. A. M. Reinhorn, R. Subramaniam, S. M. Nagarajaiah and M. A. Riley, Study of hybrid systems for structural and nonstructural systems. Proc. Int. Workshop on Structural Control and Intelligent System, G. W. Housner and S. F. Masri (eds), Honolulu, HI, pp. 405-416 (1993).
10. M. A. Riley, R. Subramaniam, S. M. Nagarajaiah and A. M. Reinhorn, Hybrid control for sliding base-isolated structures. Proc. ATC-17-1 Seminar on Seismic Isolation, Passive Energy Dissipation and Active Control, San Francisco, CA, pp. 799-810 (1993).
11. J. N. Yang, Z. Li, J. C. Wu and I. R. Hsu, Dynamic linearization for sliding isolated building. ASCE J. Engng Mech. 16 (6), 437-444 (1994).
12. J. N. Yang, Z. Li and S. Vongchavalitkul, A generalization of optimal control theory: linear and nonlinear control. ASCE J. Engng Mech. 120 (2), 266-283 (1994).
13. M. Dixon, B. Kermiche, P. B. Shing, R. Su and D. M. Frangopol, Design of hybrid control systems for building structures. Proc. 10th Engng Mech. Specialty Conf. ASCE, Boulder, Colorado, Vol. 2, pp. 1235-1238 (1995).
14. R. Krishnan, A. C. Nerves and M. P. Singh, Modeling, simulation and analysis of active control of structures with nonlinearity using neural networks. Proc. 10th Engng Mech. Specialty Conf., ASCE, Boulder, Colorado, Vol. 2, pp. 1054-1057 (1995).
15. V. I. Utkin, Sliding Modes in Control Optimization, Springer, New York.
16. J. N. Yang, J. C. Wu, A. K. Agrawal and Z. Li, Sliding mode control of seismic-excited linear and nonlinear civil engineering structures. National Center For Earthquake Engineering Research, Technical Report NCEER-94-0017 (1994).
17. J. N. Yang, J. C. Wu and A. K. Agrawal, Sliding mode control of nonlinear and hysteretic structures. ASCE J. Engng Mech. 212(12), 1330-1339 (1995).
18. J. N. Yang, J. C. Wu and A. K. Agrawal, Sliding mode control of seismic-excited linear structures. ASCE J. Engng Mech. 212(12), 1386-1390 (1995).
19. J. N. Yang, J. C. Wu, K. Kawashima and S. Unjoh, Hybrid control systems for seismic-excited bridges. J. Earthquake Engng Struct. Dyn. 24 (11), 1437-1451 (1995).
20. J. N. Yang, J. C. Wu and Z. Li, Control of seismic-excited buildings using active variable stiffness systems. J. Engng Struct. 18 (8), 589-596 (1996).
21. J. N. Yang, J. C. Wu, A. M. Reinhorn and M. Riley, Control of sliding-isolated buildings using sliding mode control. ASCE J. Struct. Engng 122 (2), 83-91 (1996).
22. J. N. Yang, J. C. Wu, A. M. Reinhorn, M. Riley, W. E. Schmitendorf and F. Jabbari, Experimental verifications of H∞ and sliding mode control for seismic-excited buildings. ASCE J. Engng Mech. 122 (1), 69-75 (1996).
23. J. A. O'Sullivan and M. K. Sain, Nonlinear optimal control with tensors: some computational issues. Proc. American Control Conf., pp. 1600-1605 (1985).
24. J. Suhardjo, B. F. Spencer Jr, and M. K. Sain, Nonlinear optimal control of a Duffing system. Int. J. Non-Linear Mech. 27 (2), 157-172 (1992).
25. D. P. Tomasula, B. F. Spencer Jr. and M. K. Sain, Limiting extreme structural responses using an efficient nonlinear control law. Proc. First World Conf. on Structural Control, Pasadena, CA, pp. FP4-22-31 (1994).
26. Z. Wu, V. Gattulli, R. C. Lin and T. T. Soong, Implementable control laws for peak response reduction. Proc. First World Conf. on Structural Control, Pasadena, TP2-50-59 (1994).
27. A. K. Agrawal and J. N. Yang, Optimal polynomial control for linear and nonlinear structures. National Center For Earthquake Engineering Research, Technical Report NCEER 95-0019, Buffalo, New York (1995).
28. A. K. Agrawal and J. N. Yang, Optimal polynomial control of seismic-excited linear structures. ASCE J. Engng Mech., 122 (8), 753-761 (1996).
29. A. K. Agrawal and J. N. Yang, Static output polynomial control for linear structures. J. Engng Mech. ASCE 123 (6), (1997).
30. A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations. Wiley, New York (1979).
31. A. K. Agrawal, Y. Fujino and B. K. Bhartia, Instability due to time-delay and its compensation in active control of structures, J. Earthquake Engng Struct. Dyn. 22, 211-224 (1993).
32. A. K. Agrawal and J. N. Yang, Effect of fixed time-delay on stability and performance of actively controlled civil engineering structures. J. Earthquake Engng Struct. Dyn. 22, 1169-1185 (1997).
33. D. W. Jordan and P. Smith, Nonlinear Ordinary Differential Equations. Oxford Applied Mathematics and Computing Science Series, Oxford University Press, Oxford (1977).
34. H. Khalil, Nonlinear Systems. Prentice-Hall, Upper Saddle River, NJ (1996).