Hybrid Dynamical Systems pp 293-313 | Cite as
Multicellular Converter: A Benchmark for Control and Observation for Hybrid Dynamical Systems
Abstract
Due to their cost and their reliability, multicellular converters are interesting devices to supply electrical systems in many applicative fields. The first part of this chapter deals with the controller design for switching power converters, which are a particular class of switched systems. Two controllers are introduced. The first one is based on the average model and exhibits good performances in the transient. The second one is based on a Lyapunov function to jointly control the load current and the capacitor voltages across each commutation cell while improving the steady-state behavior. The second part of this chapter deals with the observer design to solve the capacitor voltages estimation while taking into account the hybrid behavior of the converter. A hybrid observer, based on gathering partial information from individual modes of the switched system, is designed. Some simulations highlight the efficiency of the proposed control and observer schemes for the three-cells converter.
Notes
Acknowledgments
The research leading to these results has received funding from International Campus on Safety and Intermodality in Transportation, the Nord-Pas-de-Calais Region, the Regional Delegation for Research and Technology, the Ministry of Higher Education and Research, and the National Center for Scientific Research.
References
- 1.Erickson, R., Maksimovic, D.: Fundamentals of Power Electronics, 2nd edn. Kluwer Academic Publishers, Dordrecht (2001)CrossRefGoogle Scholar
- 2.Meynard, T., Foch, H.: French patent N91,09582 du 25 juillet 1991, dépôt international PCT (Europe, Japon, USA, Canada), N92,00652 du 8 juillet 1992 (1991)Google Scholar
- 3.Meynard, T., Foch, H., Thomas, P., Courault, J., Jakob, R., Nahrstaedt, M.: Multi-cell converters: basic concepts and industry applications. IEEE Trans. Ind. Appl. 49(5), 955–964 (2002)Google Scholar
- 4.Beaudesson, P.: Sûreté de fonctionnement, reconfiguration et marches dégradées des convertisseurs multiniveaux á IGBT, Ph.D. Thesis, INP Toulouse (2000)Google Scholar
- 5.Bethoux, O., Barbot, J.P.: Multi-cell chopper direct control law preserving optimal limit cycles. Proc. CCA Glasgow 2, 1258–1263 (2002)Google Scholar
- 6.Djemaï, M., Busawon, K., Benmansour, K., Marouf, A.: High order sliding mode control of a DC motor via a switched controlled multi cellular converter. Int. J. Syst. Sci. 42(11), 1869–1882 (2011)CrossRefMATHGoogle Scholar
- 7.Amjadi, Z., Williamson, S.S.: A novel control technique for a switched-capacitor-converter-based hybrid electric vehicle energy storage system. IEEE Trans. Ind. Electron. 57(3), 926–934 (2010)CrossRefGoogle Scholar
- 8.Lezana, P., Rodriguez, J., Perez, M.A., Espinoza, J.: Input current harmonics in a regenerative multicell inverter with single-phase PWM rectifiers. IEEE Trans. Ind. Electron. 56(2), 408–417 (2009)CrossRefGoogle Scholar
- 9.Bhagwat, P.M., Stefanovic, V.R.: Generalized structure of a multilevel PWM inverter. IEEE Trans. Ind. Appl. 32, 509–517 (1996)CrossRefGoogle Scholar
- 10.Silva, E.I., McGrath, B., Quevedo, D., Goodwin, G.: Predictivecontrol of a flying capacitor converter. In: IEEE American Control Conference, New York, USA (2007)Google Scholar
- 11.Defoort, M., Djemai, M., Van Gorp, J.: Sliding Mode Control of Switching Electrical Power Converters Associated to an Inductive Load. IFAC World Congress, Milan (2011)Google Scholar
- 12.Baja, M., Patino, D., Cormerais, H., Riedinger, P., Buisson, J.: Hybrid control of a three-level three-cell dc-dc converter. In: American Control Conference, pp. 5458–5463 (2007)Google Scholar
- 13.Dominguez-Garcia, A.D., Trenn, S.: Detection of impulsive effects in switched daes with applications to power electronics reliability analysis. In: IEEE Conference on Decision and Control, Atlanta, USA (2010)Google Scholar
- 14.Bejarano, F.J., Ghanes, M., Barbot, J.P.: Observability and observer design for hybrid multicell choppers. Int. J. Control 83(3), 617–632 (2010)MathSciNetCrossRefMATHGoogle Scholar
- 15.Fliess, M., Join, C., Perruquetti, W.: Real-time estimation for switched linear systems. In: IEEE Conference on Decision and Control, Cancun, Mexico (2008)Google Scholar
- 16.Benmansour, K., De Leon, J., Djemai, M.: Adaptive observer for multi-cell chopper. In: International Symposium on Communications, Control and Signal Processing (2006)Google Scholar
- 17.Barbot, J.P., Saadaoui, H., Djemaï, M., Manamanni, N.: Nonlinear observer for autonomous switching systems with jumps. Nonlinear Analysis: Hybrid Systems, pp. 537–547 (2007)Google Scholar
- 18.Defoort, M., Djemaï, M., Floquet, T., Perruquetti, W.: Robust finite time observer design for multicellular converters. Int. J. Syst. Sci. 42(11), 1859–1868 (2011)CrossRefMATHGoogle Scholar
- 19.Bejarano, F.J., Fridman, L.: State exact reconstruction for switched linear systems via a super-twisting algorithm. Int. J. Syst. Sci. 42(5), 717–724 (2011)MathSciNetCrossRefMATHGoogle Scholar
- 20.Tanwani, A., Shim, H., Liberzon, D.: Observability of switched linear systems: characterization and observer design. IEEE Trans. Autom. Control 58(4), 891–904 (2013)MathSciNetCrossRefGoogle Scholar
- 21.Vu, L., Liberzon, D.: Invertibility of switched linear systems. Automatica 44(4), 949–958 (2008)MathSciNetCrossRefMATHGoogle Scholar
- 22.Tanwani, A., Liberzon, D.: Invertibility of switched nonlinear systems. Automatica 46(12), 1962–1973 (2010)MathSciNetCrossRefMATHGoogle Scholar
- 23.Kang, W., Barbot, J., Xu, L.: On the Observability of Nonlinear and Switched Systems. Lecture notes in control and information sciences. Springer, Berlin (2009)Google Scholar