Control of oscillations in hamiltonian systems

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 1243-1248

  Fradkov, A L ^a   Makarov, I A ^a   Shiriaev, A S ^a   Tomchina, O P ^a  

^a INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

Author keywords

Energy control; Nonlinear control; Spherical pendulum; Suppression of resonances; TORA example

Indexed keywords

GRADIENT METHODS; POWER CONTROL;

CONSTRAINED PROBLEM; CONTROL DESIGN; HAMILTONIAN SYSTEMS; MULTI OBJECTIVE; NON LINEAR CONTROL; SPHERICAL PENDULUM; SUPPRESSION OF RESONANCES; TORA EXAMPLE;

HAMILTONIANS;

EID: 84983097407     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082270     Document Type: Conference Paper

References (18)

1. Arnol'd V. I. Mathematical methods of classical mechanics. Berlin, Springer-Verlag, 1978.
2. Wan C.-J., Bernstein D. S., Coppola V. T. Global Stabilization of the oscillating eccentric rotor. Proc. 34th IEEE Conf. Dec. Contr., 1994, pp. 4024-4029.
3. Blekhman, I. I., Synchronization of dynamic systems, (Moscow-Nauka), 1971, (in Russian).
4. Blekhman, I. I. Synchronization in science and technology, (ASME Press, New York), 1988.
5. K. J. Astrom and K. Furuta. Swinging up a pendulum by energy control. Proc 13th Congress of IFAC, v. E, pp. 37-42.
6. Ewan-Ivanovski R. M. Resonance oscillations in mechanical systems. Elsevier, Amsterdam, 1976.
7. Fradkov A. L. Adaptive control in complex systems. Moscow, Nauka, 1990 (in Russian).
8. Fradkov A. L. Nonlinear adaptive control: regulation-tracking-oscillation. Proc. of 1st IFAC Workshop on New Trends in Design of Control Systems. Smolenice, 1994, pp. 426-431.
9. Fradkov A. L. Swinging control of nonlinear oscillations. Intern. J. of Control, 1996, v. 64, n. 6, pp. 1189-1202.
10. Fradkov A. L. and E. V. Panteley. Equivalence of two types of algebraic-differential equations. In Adaptive control of mechanical systems ed. by A. L. Fradkov, Preprint IPME N71, St. Petersburg, 1992, pp. 41-44.
11. A. L. Fradkov, P. Yu. Guzenko, D. J. Hill and A. Y. Pogromsky. Speed-gradient control and passivity of nonlinear oscillations. Proc. of the 3rd IFAC Symposium on Nonlinear Control Systems, Tahoe-Sity, USA, 1995, pp. 655-659 (v. 2)
12. M. Jankovich, D. Fontaine, P. V. Kokotovic, TORA example: Cascade and passivity based designs, IEEE Trans. Control Systems Technology, 1996, v. 4, pp. 292-297.
13. Kinsey R, J., Mingori D. L., Rand R. H. Nonlinear controller to reduce resonance effects during despin of a dual-spin spacecraft through precession phase lock Proc. Proc. 31th IEEE CDC, 1992, pp. 3025-3030.
14. Konjukhov A. P., Nagibina O. A., Tomchina O. P. Energy based double pendulum control in periodic and chaotic mode. Proc. of 3rd Intern. Conf. on Motion and Vibration Control (MOVIC'96), Chiba, Japan, 1996, pp. 99-104.
15. B. M. Maschke and A. J.van der Schaft. A Hamiltonian approach to stabilization of nonholonomic mechanical systems. Proc. of the 33rd Conf. on Decision and Control, 1994, pp. 2950-2954.
16. H. Nijmeijer and A. J.van der Schaft. Nonlinear Dynamical Control Systems. New York: Springer-Verlag, 1990.
17. 2-gain and passivity techniques in nonlinear control. Springer-Verlag, 1996.
18. M. Wiklund, A. Kristenson, and K. J. Astrom. A new strategy for swinging up an inverted pendulum. Proc. of the 12th IFAC World Congress, v. 9, pp. 151-154, 1993.