An electrical interpretation of mechanical systems via the pseudo-inductor in the Brayton-Moser equations

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 5983-5988

  De Rinaldis, Alessandro ^a   Scherpen, Jacquelien M A ^b  

^a CNRS   (France)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; ELECTRIC INDUCTORS; ELECTROMAGNETISM; LAGRANGE MULTIPLIERS; NONLINEAR EQUATIONS;

ELECTROMAGNETIC COUPLING; EULER-LAGRANGE EQUATIONS; MASS INERTIA MATRIX; MECHANICAL SYSTEMS;

SYSTEMS ANALYSIS;

EID: 33847235327     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1583119     Document Type: Conference Paper

References (11)

1. M. Smith, "Synthesis of mechanical networks: the interter," IEEE Trans. Aut. Contr., vol. 47, no. 10, pp. 1648-1662, october 2002.
2. S. Stramigioli, Modeling and IPC Control of Interactive Mechanical Systems: a coordinate, free approach. Springer Verlag, London, 2000.
3. R. K. Bryton and J. K. Moser, "A theory of nonlinear networks (part 1)," Quarterly Of Applied Mathematics, vol. XXII, no. 1, pp. 1-33, april 1964.
4. D. Jeltsema, R. Ortega, and J. M. A. Scherpen, "On passivity and power-balance inequalities of nonlinear RLC circuits," IEEE Trans. Circ. Syst., vol. 50, no. 9, pp. 1174-1179, September 2003.
5. D. Jeltsema and J. M. A. Scherpen, "On mechanical mixed potential, content and co-content," Proceedings of the European Control Conference (ACC), pp. 73-78, 2003.
6. R. Ortega, D. Jeltsema, and J. M. A. Scherpen, "Power shaping: A new paradigm for stabilization of nonlinear rlc circuits," IEEE Trans. Aut. Cont., vol. 48, no. 10, pp. 1762-1767, October 2003.
7. D. Jeltsema and J. M. A. Scherpen, "Tuning of passivity-preserving controllers for switched-mode power converters," IEEE Trans. Aut. Cont., vol. 49, no. 8, pp. 1333-1344, 2004.
8. S. Arimoto and T. Nakayama, "Another language for describing motions of mechatronics systems: a nonlinear position-dependent circuit theory," IEEE/ASME Trans. Mechatronics, vol. 1, no. 2, pp. 168-180, 1996.
9. D. Jeltsema and J. M. A. Scherpen, "A power-based perspective mechanical systems," accepted to CDC/ECC 05, Seville, Spain, 2005.
10. R. Ortega, A. Loria, P. J. Nicklasson, and H. Sira-Ramirez, Passivity-based Control of Euler-Lagrange Systems. Springer, London, 1998.
11. J. Scherpen, D. Jeltsema, and J. Klaassens, "Lagrangian modeling of switching electrical networks," Systems & Control Letters, vol. 48, no. 5, pp. 365-374, april 2003.