1. Proceedings
  2. I3M
  3. 2018
  4. IMAACA
  5. 10.46354/i3m.2018.imaaca.005

Energy- and flatness-based control of DC-DC converters with nonlinear load

  • a Juan Tomassini  , 
  • b Alejandro Donaire  , 
  • c Sergio Junco 
  • aCONICET, Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina.
  • acLAC, Laboratorio de Automatización y Control, Departamento de Control, Escuela de Ingeniería Electrónica,Facultad de Ciencias Exactas e Ingeniería, Universidad Nacional de Rosario, Argentina.
  • bInstitute for Future Environments, School of Electrical Engineering and Computer Science, Queensland University of Technology, Australia
Cite as
Tomassini J., Donaire A., Junco S. (2018). Energy- and flatness-based control of DC-DC converters with nonlinear load. Proceedings of the 11th International Conference on Integrated Modeling and Analysis in Applied Control and Automation (IMAACA 2018), pp. 34-42. DOI: https://doi.org/10.46354/i3m.2018.imaaca.005

Abstract

This paper presents a passivity-based controller design (PBC) aimed at stabilizing DC-DC power electronic converters with nonlinear dissipative loads. The converters considered in this work are the buck, the boost and the buck-boost. First, Bond Graph technique is used to obtain the flat output of each converter model. The controller is designed within the port-Hamiltonian (pH) framework, ensuring stability and other desired closed-loop properties. To this aim a desired closedloop dynamics in pH form with a quadratic storage
function and a flat-output-inspired change of variables are proposed, which are common to the three converters. The controllers that render the closed-loop dynamics in the desired pH form are obtained via model matching. This design has two major advantages. The first is that the so-called matching equation can be solved by construction; thus, the cumbersome task of solving partial differential equations is avoided. The second advantage is that in all the converters treated the closed-loop dynamics is linear; thus, the performance of the control system can be easily determined via the tuning of the eigenvalues of the closed-loop evolution matrix. The performance is assessed through digital simulation.

References

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