Asymptotic tracking in DC-to-DC nonlinear power converters

Discrete and Continuous Dynamical Systems - Series B

Volumn 2, Issue 2, 2002, Pages 295-307

  Fossas Colet, E ^a   Olm Miras, J M ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Periodic solutions; Stability; Systems governed by ordinary differential equations

Indexed keywords

EID: 0041639420     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2002.2.295     Document Type: Article

References (16)

1. F. Bilalović, O. Mušić and A. Šabanović, BUCK CONVERTER REGULATOR OPERATING IN SLIDING MODE, Proceedings PCI-83, (1983), 331-340.
2. E. Fossas, L. Martínez and J. Ordinas, SLIDING MODE CONTROL REDUCES AUDIOSUSCEPTIBILITY AND LOAD PERTURBATIONS IN THE ČUK CONVERTER, IEEE Trans. Circ. and Syst.-I, v. 39, 10 (1992), 847-849.
3. E. Fossas and J.M. Olm, TRACKING SIGNALS IN BASIC CONVERTERS. A SLIDING APPROACH, Proceedings VSLT-94, (1994), 342-348.
4. A. Gasull and J. Llibre, LIMIT CYCLES FOR A CLASS OF ABEL EQUATIONS, SIAM J. Math. Anal., v. 21, 5 (1990), 1235-1244.
5. N.G. Lloyd, A NOTE ON THE NUMBER OF LIMIT CYCLES IN CERTAIN TWO-DIMENSIONAL SYSTEMS, J. of the London Math, Soc., 20 (1979), 277-286.
6. R. Marino and P. Tomei, "Nonlinear Differential Control Systems", Prentice Hall, London, 1995.
7. J.M. Olm, E. Fossas and D. Biel, A SLIDING APPROACH TO TRACKING PROBLEMS IN DC-DC POWER CONVERTERS, Proceedings CDC-96, (1996), 4008-4010.
8. R.P. Severns and G. Bloom, "Modern DC to DC Switch-mode Power Converter Circuits". Van Nostrand-Reinhold, New York, 1985.
9. H. Sira-Ramírez, SLIDING MOTIONS IN BILINEAR SWITCHED NETWORKS, IEEE Trans. Circ. and Syst., v. 34, 8 (1987), 919-933.
10. H. Sira-Ramírez, ON DC TO AC POWER CONVERSION: A DIFFERENTIAL FLATNESS APPROACH, Proceedings ISIE-99, (1999) 362-365.
11. J. Sotomayor, "Liçoes de Equaçoes Diferenciais Ordinárias" IMPA-Projeto Euclides, Rio dc Janeiro, 1979.
12. R. Venkataramanan, A. Šabanović and S. Cuk, SLIDING MODE CONTROL OF DC-TO-DC CONVERTERS, Proceedings IECON-85, (1985), 251-258.
13. F. Verhulst, "Nonlinear Differential Equations and Dynamical Systems", Springer-Verlag, Berlin, 1990.
14. A.S.I, Zinober, E. Fossas-Colet, J.C. Scarratt and D. Biel, Two SLIDING MODE APPROACHES TO THE CONTROL OF A BOOST SYSTEM, in: A. Tornambé, G. Conte and A.M. Perdon, "Theory and Practice of Control and Systems", (1998), 343-348.
15. A.S.I. Zinober, E. Fossas-Colet, J.C. Scarratt and D. Biel, Two SLIDING MODE APPROACHES TO THE CONTROL OF A BUCK-BOOST CONVERTER, Proceedings VSLT-98, (1998), 118-123.
16. D. Zwillinger, "Handbook of Differential Equations", Academic Press, Boston, 1993.