Skip to main content
SpringerLink
Log in

Two Degrees of Freedom in the Control of a DC-DC Boost Converter, Fuzzy Identified Explicit Model in Feed-forward Line

  • Published:
Journal of Intelligent & Robotic Systems Aims and scope Submit manuscript

Abstract

We present a novel approach to the fuzzy control of a DC-DC Boost Converter. Using heuristic partitioning of the main control parameters and focusing on global knowledge of the open-loop, stable system’s equilibriums, the new method is developed based on an offline fuzzy identification of the steadystate duty cycle. The explicit and the fuzzy identified global model of the duty cycle robustly contribute to the system’s stability, even in the presence of large changes to the process parameters. In comparison with the analytically derived duty cycle using two different methods, the identified model prediction of an infinity horizon duty cycle shows better precision. These results are achieved in an analysis of the converter’s hybrid-simulation model where the assumptions made in the mathematical modelling are minor in comparison with similar assumptions in physical examples. The steady-state error compensation relies on the optimized PI controller, which is independently constructed and involved in the final Two-Degreesof-Freedom (TDOF) controller. The successful simulation results agree with the robustness and present a DC-DC converter with stable operation, even in the dynamic exchange of the DCM (Discontinuous Conduction Mode) and CCM (Continuous Conduction Mode). The method is widely applicable as it minimizes the real time of processing and avoids over-determined solutions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Mariéthoz, S., Almér, S., Bâja, M., Beccuti, A.G., Patino, D., Wernrud, A., Buisson, J., Cormerais, H., Geyer, T., Fujioka, H., Jönsson, U.T., Kao, C.-Y., Morari, M., Papafotiou, G., Rantzer, A., Riedinger, P.: Comparison of Hybrid Control Techniques for Buck and Boost DC-DC Converters. IEEE, Trans. Control Syst. Technol. 18(5) (2010)

  2. Beccuti, A.G., Papafotiou, G., Frasca, R., Morari, M.: Explicit Hybrid Model Predictive Control of the dc-dc Boost Converter. In: IEEE, PECS 2007., pp. 2503–2509

  3. Fujioka, H., Kao, C.-Y., Almér, S., Jönsson, U.: LQ optimal control for a class of pulse width modulated systems. Automatica 43(6), 1009–1020 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  4. Fujioka, H., Kao, C.-Y., Almér, S., Jönsson, U.: Robust tracking with H ∞ performance for PWM systems. Automatica 45, 1808–1818 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Lincoln, B., Rantzer, A.: Relaxing dynamic programming. IEEE, Trans. Autom. Control 51(5), 1249–1260 (2006)

    Article  MathSciNet  Google Scholar 

  6. Rong-Jong, W., Li-Chung, S.: Design of voltage tracking control for dc-dc boost converter via total sliding-mode technique. IEEE, Trans. Ind. Electron. 58(6) (2011)

  7. Vidal-Idiarte, E., Carrejo, C.E., Calvente, J., Martínez-Salamero, L.: Two-Loop Digital Sliding Mode Control of DC-DC Power Converters Based on Predictive Interpolation. IEEE, Trans Ind. Electron. 58(6) (2011)

  8. Di Bernardo, M., Budd, C.J., Champneys, A.R., Kowalczyk, P.: Piecewise-smooth Dynamical Systems – Theory and Applications. In: Springer-Verlag London Limited (2008)

  9. Tse, C.K.: Flip Bifurcations and Chaos in Three-State Boost Switching Regulators. IEEE, Trans. Circ. Syst.-1; Fundam. Theory Aplications 41(1) (1994)

  10. Yanfeg, C., Tse, C.K., Wong, S.s.-C.: Interaction of Fast-Scale and Slow-Scale Bifurcation in Current-Mode Controlled DC/DC Converters. Int. J. Bifurcation Chaos 17(5), 1609–1622 (2007)

  11. Middlebrook, R.D., Slobodan, Ć.: A General Unified Approach to Modeling Switching-Converter Power Stages. In: IEEE, 1976 Record, pp. 18-34 (IEEE Publication 76CH1084-3 AES)

  12. Erickson, R.W., Ćuk, S., Middlebrook, R.D.: Large-Signal Modelling and Analysis of Switching Regulators. In: IEEE, 1982 PESC Rec., pp. 240-250

  13. Guesmi, K., Essounbouli, N., Hamzaoui, A., Zaytoon, J., Manamanni, N.: Shifting nonlinear phenomena in a DC-DC converter using fuzzy logic controller, Elsevier (2007)

  14. Mehran, K., Giaouris, D., Zahawi, B.: Stability analysis and control of nonlinear phenomena in boost converters using model-based takagi–sugeno fuzzy approach. IEEE, Trans. Circ. Syst. —I: Reg. Papers 57(1) (2010)

  15. van der Schaft, A.J., Schumacher, J.M.: Complementarity modeling of hybrid systems. IEEE, Trans. Autom. Control 43(4) (1998)

  16. Vasca, F., Iannelli, L., Kanat Camlibel, M., Frasca, R.: A New Perspective for Modeling Power Electronic Converters: Complementarity Framework. IEEE, Trans. Power Electron. 24(2) (2009)

  17. Santos, M.I.: Chapter 2: Modelling switched power converters using the complementarity formalism, doctoral thesis. Universitat Politècnica Catalunya (2006)

  18. Goffman, C., Pedrick, G.: First Course in Functional Analysis. In: Prentice-Hall Inc. Englewood Cliffs, N.J. (1965)

    MATH  Google Scholar 

  19. Stoorvogel, A.A., Van den Boom, T.J.J.: Model Predictive Control. In: DISC Course Lecture Notes (2010)

  20. Geyer, T., Papafotiou, G., Morari, M.: Hybrid model predictive control of the step-down DC-DC converter. IEEE, Trans. Control Syst. Technol. 16(6), 1112–1124 (2008)

    Article  Google Scholar 

  21. Alessio, A., Bemporad, A.: A Survey on Explicit Model Predictive Control in Nonlinear Model Predictive Control, pp. 345–369. Springer-Verlag, Berlin Heidelberg, LNCIS 384 (2009)

  22. The MathWorks Inc: MATLAB, R2009a, 7.8.0.347 (2009)

  23. Passino, K.M., Yurkovich, S.: Fuzzy Control. In: Addison Wesley Longman, Inc. (1998)

  24. Ogata, K.: Modern Control Engineering-Fifth Edition. In: Prentice Hall (2010)

Download references

Author information

Authors and Affiliations

  1. Faculty of Electrical Engineering, University of Ljubljana, Tržaška 25, 1000, Ljubljana, Slovenija

    Robert Baždarić, Igor Škrjanc & Drago Matko

Authors
  1. Robert Baždarić
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Igor Škrjanc
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Drago Matko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Robert Baždarić.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Baždarić, R., Škrjanc, I. & Matko, D. Two Degrees of Freedom in the Control of a DC-DC Boost Converter, Fuzzy Identified Explicit Model in Feed-forward Line. J Intell Robot Syst 82, 479–493 (2016). https://doi.org/10.1007/s10846-015-0215-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10846-015-0215-1

Keywords

Search

Navigation