Skip to main content
SpringerLink
Log in

Synthesis of a Discontinuous Control Law for a Step-Down Voltage Converter

  • SYSTEMS THEORY AND GENERAL CONTROL THEORY
  • Published:
Journal of Computer and Systems Sciences International Aims and scope

Abstract

This paper presents a nonlinear discontinuous control law that allows stabilizing the output voltage of a step-down voltage converter in conditions when the input voltage and load current are unknown. The main idea is based on the use of the so-called vortex algorithms, which ensure invariance with respect to external unmatched disturbances. The efficiency of the developed algorithms is shown by numerical simulation.

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

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.

REFERENCES

  1. E. M. Romash, Yu. I. Drabovich, N. N. Yurchenko, and P. N. Shevchenko, High-Frequency Transistor Converters (Radio i svyaz', Moscow, 1988) [in Russian].

  2. Y. B. Shtessel, A. Zinober, and I. Shkolnikov, “Sliding mode control of boost and buck-boost power converters using method of stable system center,” Automatica 39 (6), 1061–1067 (2003).

    Article  Google Scholar 

  3. J. Olm, X. Ros-Oton, and Y. Shtessel, “Stable inversion of Abel equations: Application to tracking control in DC-DC non-minimum phase boost converters,” Automatica 47 (1), 221–226 (2011).

    Article  MathSciNet  Google Scholar 

  4. W. Stefanutti, P. Mattavelli, S. Saggini, and M. Ghioni, “Autotuning of digitally controlled DC-DC converters based on relay feedback,” IEEE Trans. Power Electron. 22 (1), 199–207 (2007).

    Article  Google Scholar 

  5. S. Kapat, “Improved time optimal control of a buck converter based on capacitor current,” IEEE Trans. Power Electron. 27 (3), 1444–1454 (2012).

    Article  Google Scholar 

  6. B. Kim and J. K. Jrvenhaara, “A rapid switch bridge selection method for fully integrated DC-DC buck converters,” IEEE Trans. Power Electron. 30 (8), 4048–4051 (2015).

    Article  Google Scholar 

  7. D. Giaouris, S. Banerjee, B. Zahawi, and P. Pickert, “Stability analysis of the continuous-conduction-mode buck converter Cia Filippov’s method,” IEEE Trans. Circuits Systems 55 (4), 1084–1096 (2008).

    Article  Google Scholar 

  8. V. A. Utkin, “Invariance and independence in systems with separable motion,” Autom. Remote Control 62 (11), 1825–1843 (2001).

    Article  MathSciNet  Google Scholar 

  9. K. S. Demirchan, L. R. Neiman, N. V. Korovkin, and V. L. Chechurin, Theoretical Foundations of Electrical Engineering, (Piter, St. Petersburg, 2004) [in Russian].

    Google Scholar 

  10. W. M. Wonham, Linear Multivariable Control: A Geometric Approach (Springer, New York, 1974).

    Book  Google Scholar 

  11. S. A. Kochetkov and V. A. Utkin, “Invariance in systems with unmatched perturbations,” Autom. Remote Control 74 (7), 1097–1127 (2013).

    Article  MathSciNet  Google Scholar 

  12. S. A. Kochetkov and V. A. Utkin, “Providing the invariance property on the basis on oscillation modes,” Dokl. Math. 88 (2), 618–623 (2013).

    Article  MathSciNet  Google Scholar 

  13. V. I. Utkin, Sliding Mode Control in Electromechanical Systems (Tailor and Francis, London, 2009).

    Google Scholar 

  14. A. Sabanovic, N. Sabanovic, and K. Ohnishi, “Sliding mode in power converters and motion control systems,” Int. J. Control 57 (5), 1237–1259 (1993).

    Article  MathSciNet  Google Scholar 

  15. A. F. Filippov, Differential Equations with Discontinuous Right Hand Sides (Kluwer, Dordrecht, 1988).

    Book  Google Scholar 

Download references

Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

Author information

Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 117997, Moscow, Russia

    S. A. Kochetkov, O. S. Tkacheva & A. V. Utkin

Authors
  1. S. A. Kochetkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. S. Tkacheva
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. V. Utkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to S. A. Kochetkov, O. S. Tkacheva or A. V. Utkin.

Ethics declarations

CONFLICT OF INTEREST

The authors of this work declare that they have no conflicts of interest.

CONSENT TO PARTICIPATE

Informed consent was obtained from all individual participants included in the study.

Additional information

Publisher’s Note.

Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kochetkov, S.A., Tkacheva, O.S. & Utkin, A.V. Synthesis of a Discontinuous Control Law for a Step-Down Voltage Converter. J. Comput. Syst. Sci. Int. 62, 925–934 (2023). https://doi.org/10.1134/S1064230723060072

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064230723060072

Search

Navigation