Numerical control of impact dynamics of inverted pendulum through optimal feedback strategies

Journal of Sound and Vibration

Volumn 236, Issue 3, 2000, Pages 505-527

  Lenci, S ^a   Rega, G ^b  

^a UNIVERSITÀ POLITECNICA DELLE MARCHE   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FEEDBACK CONTROL; MOTION CONTROL; NUMERICAL CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS;

IMPACT DYNAMICS;

PENDULUMS;

EID: 0034270337     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2000.2991     Document Type: Article

References (18)

1. LENCI S., REGA G. A procedure for reducing the chaotic response region in an impact mechanical system. Nonlinear Dynamics. 15:1998;391-409.
2. LENCI S., REGA G. Controlling nonlinear dynamics in a two-well impact system. Parts I and II. International Journal of Bifurcation and Chaos. 8:1998;2387-2424.
3. SHAW S. W. The suppression of chaos in periodically forced oscillators. Schiehlen W. Nonlinear Dynamic in Engineering Systems. 1990;Springer-Verlag, Berlin.
4. ISIDORI A. Nonlinear Control Systems. 1995;Springer-Verlag, Rome.
5. F. L. CHERNOUSKO, 1996, Proceedings of 2nd European Nonlinear Oscillations Conference, 1, 15, 22, Control of nonlinear dynamical systems.
6. BLAZEJCZYK B., KAPITANIAK T., WOJEWODA J., BRINDLEY J. Controlling chaos in mechanical systems. Applied Mechanics Review. 46:1993;385-391.
7. KAPITANIAK T. Controlling Chaos. 1996;Academic Press, Lodz.
8. OTT E., GREBOGI C., YORKE J. A. Controlling chaos. Physical Review Letters E. 64:1990;1196-1199.
9. CHEN G., DONG X. From chaos to order - perspectives and methodologies in controlling chaotic nonlinear dynamical systems. International Journal of Bifurcation and Chaos. 3:1993;1363-1409.
10. LIMA R., PETTINI M. Suppression of chaos by resonant parametric perturbations. Physical Review A. 41:1990;726-733.
11. CHEN G., DONG X. From Chaos to Order: Methodologies Perspectives and Applications. 1998;World Scientific Publications.
12. BROGLIATO B. Nonsmooth Mechanics. 1999;Springer-Verlag, London.
13. LENCI S., REGA G. Global chaos control in a periodically forced oscillator. Bajaj A. K., Namachchivaya N. S., Franchek M. A. Nonlinear Dynamics and Control. DE-91:1996;111-116.
14. LENCI S., REGA G. Attractor-basin and bifurcation analysis in an impact system: chaotic uncontrolled versus controlled steady response. Chernousko F. L., Fradkov A. L. Control of Oscillations and Chaos. 3:1997;582-585.
15. LENCI S., REGA G. Feedback numerical implementations of an optimal procedure for chaos control in a two-well impact oscillator. Proceedings of 1997 ASME Design Engineering Technical Conference, Sacramento, CA, U.S.A. 1997.
16. LENCI S., REGA G. Interaction between impulses and impacts in the nonlinear dynamics of an impacting system: a non-classical bifurcation. Babitsky V. I. Dynamics of Vibro-Impact System. 1998;167-176.
17. LENCI S. On the suppression of chaos by means of bounded excitations in an inverted pendulum. SIAM Journal on Applied Mathematics. 58:1998;1116-1127.
18. WIGGINS S. Introduction to Applied Nonlinear Dynamical Systems and Chaos. 1990;Springer-Verlag, New York.