Hamiltonian viewpoint in the modeling of switching power converters

Automatica

Volumn 35, Issue 3, 1999, Pages 445-452

  Escobar, Gerardo ^a   Van der Schaft, Arjan J ^b   Ortega, Romeo ^a  

^a SUPELEC   (France)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM SYNTHESIS; DIFFERENTIAL EQUATIONS; DIODES; ELECTRIC SWITCHES; ELECTRIC TRANSFORMERS; NETWORKS (CIRCUITS); POWER CONVERTERS;

HAMILTONIAN SYSTEMS; HYBRID MODES; SWITCHING POWER CONVERTERS;

MATHEMATICAL MODELS;

EID: 0033099976     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(98)00196-4     Document Type: Article

References (15)

1. Kassakian, J. G., Schlecht, M., & Verghese, G. C. (1991). Principles of Power Electronics. Reading, MA: Addison-Wesley.
2. Maschke B. M., van der Schaft, A. J., & Breedveld, P. C. (1995). An intrinsic Hamiltonian formulation of the dynamics of LC-circuits. IEEE Trans. Circuits Systems, 42(2), 73-82.
3. Ortega, R., Loria, A. Nicklasson, P. J., & Sira-Ramirez, H. (1998). Passivity-based Control of Euler-Lagrange Systems. Berlin: Springer, Communications and Control Engineering.
4. Sanders, S., & Verghese, G. (1990). Lyapunov-based control for switching power converters. Proc. IEEE PESC, 51-58.
5. Sanders, S., Noworolski, J., Liu, X., & Verghese, G. (1991). Generalized averaging method for power conversion systems. IEEE Trans. Power Electron., 6(2), 251-259.
6. Severns, R. P., & Bloom, G. E. (1982). Modern DC-to-DC Switchmode Power Converter Circuits. New York: Van Nostrand Reinhold.
7. Sira H., & Delgado, M. (1997). A Lagrangian approach to modeling of dc-to-dc power converters. IEEE Trans. Circuits Systems I: Fund. Theory Appl., 43(5), 427-430.
8. Sira, H.,Perez, R., Ortega, R., & Garcia, M. (1997). Passivity-based controllers for the stabilization of DC-to-DC power converters. Automatica, 39(4), 499-513.
9. Söderman U. (1995). Conceptual Modelling of Switching Physical Systems. Thesis, Dept. of Comp. and Inf. Sci., Linköping University.
10. Strömberg, J. E. (1994). A Mode Switching Modelling Philosophy. Thesis, Dept. of Elect. Eng., Linköping University.
11. 2 gain and passivity techniques in nonlinear control, Lecture Notes in Control and Inf. Sc. (Vol. 218). London: Springer.
12. Van Der Schaft, A. J., & Maschke, B. M. (1995). The Hamiltonian formulation of energy conserving physical systems with external ports. Int. J. Electron. Commun. 49(5/6), 362-371.
13. Van der Schaft, A. J., & Schumacher, J. M. (1998). Complementarity modeling of hybrid systems. IEEE TAC, Special Issue on Hybrid Systems, AC-43, 483-490.
14. Van der Schaft, A. J., & Maschke, B. M. (1997). Interconnected mechanical systems. Part I: Geometry of interconnection and implicit Hamiltonian systems. In A. Astolfi (Ed.), Chap. in the book Modelling and Control of Mechanical Systems. London: Imperial College Press.
15. Wood, P. (1981). Switching Power Converters. New York: Van Nostrand Reinhold.