Skip to main content
Log in

New sliding mode controller design for a DC to DC buck power converter in the presence of matched and mismatched disturbances

  • Published:
International Journal of Dynamics and Control Aims and scope Submit manuscript

Abstract

This paper presents a novel sliding mode controller based on an extended state observer (ESO) in the presence of matched and mismatched disturbances for a DC–DC Buck converter. Firstly, stability of ESO is proved by introducing a proper Lyapunov function. Then, by proposing a sliding surface containing system and ESO states, a novel nonlinear controller is designed to satisfy sliding condition. The proposed controller shows a superb disturbance attenuation which guarantees finite time stability of the closed-loop system. Moreover, reaching time to the sliding surface is analysed and upper bound of this time is obtained. Finally, simulation results and comparisons with previous research works reported in the literature demonstrate superiority of the proposed method.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Ginoya D, Shendge PD, Phadke SB (2014) Sliding mode control for mismatched uncertain systems using an extended disturbance observer. IEEE Trans Ind Electron 61(4):1983–1992

    Article  Google Scholar 

  2. Yang J, Chen WH, Li V (2011) Non-linear disturbance observer-based robust control for systems with mismatched disturbances/uncertainties. IET Control Theory Appl 5(18):2053–2062

    Article  MathSciNet  Google Scholar 

  3. Cui V, Zhang HG, Wang YC, Zhang V (2015) Adaptive neural dynamic surface control for a class of uncertain nonlinear systems with disturbances. Neurocomputing 165:152–158

    Article  Google Scholar 

  4. Xia YQ, Zhou N, Lu V, Li V (2015) Attitude control of multiple rigid bodies with uncertainties and disturbances. IEEE/CAA J Autom Sin 2(1):2–10

    Article  MathSciNet  Google Scholar 

  5. Chang V (2009) Adaptive sliding mode control of multi-input nonlinear systems with perturbations to achieve asymptotical stability. IEEE Trans Autom Control 54(12):2863–2869

    Article  MathSciNet  Google Scholar 

  6. Yang V, Zolotas V, Chen WH, Michail K, Li SH (2011) Robust control of nonlinear MAGLEV suspension system with mismatched uncertainties via DOBC approach. ISA Trans 50(3):389–396

    Article  Google Scholar 

  7. Yu X, Kaynak O (2009) Sliding-mode control with soft computing: a survey. IEEE Trans Ind Electron 56(9):3275–3285

    Article  Google Scholar 

  8. Yang J, Li SH, Su JY, Yu XH (2013) Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances. Automatica 49(4):2287–2291

    Article  MathSciNet  Google Scholar 

  9. Li XB, Ma L, Ding SH (2015) A new second-order sliding mode control and its application to inverted pendulum. Acta Autom Sin 41(1):193–202

    Google Scholar 

  10. Bin W, Wang JJ, Wang, Li S (2014) Extended state observer based control for DC-DC buck converters subject to mismatched disturbances. In: Proceedings of the 33rd Chinese control conference, Nanjing, China, pp 8080–8085

  11. Wang J, Li S, Yang J, Wu B, Li Q (2015) Extended state observer-based sliding mode control for PWM-based DC-DC buck power converter systems with mismatched disturbances. IET Control Theory Appl 9(4):579–586

    Article  MathSciNet  Google Scholar 

  12. Wang JX, Li S, Yang J, Li Q (2016) Finite-time observer based nonsingular terminal sliding mode control for PWM-based DC-DC buck converters within mismatched load disturbances. IET Power Electron 9(9):1995–2002

    Article  Google Scholar 

  13. Yang J, Li SH, Yu XH (2013) Sliding mode control for systems with mismatched uncertainties via a disturbance observer. IEEE Trans Ind Electron 60(1):160–169

    Article  Google Scholar 

  14. Wang Z, Li S, Wang J, Li Q (2016) Generalized proportional integral observer based backstepping control for DC-DC buck converters with mismatched disturbances. In: IEEE international conference on industrial technology (ICIT), pp 1783–1789

  15. Choi HH (2007) LMI-based sliding surface design for integral sliding mode control of mismatched uncertain systems. IEEE Trans Autom Control 52(4):736–742

    Article  MathSciNet  Google Scholar 

  16. Andrade-Da Silva JM, Edwards C, Spurgeon SK (2009) Sliding-mode output-feedback control based on LMIs for plants with mismatched uncertainties. IEEE Trans Ind Electron 56(9):3675–3683

    Article  Google Scholar 

  17. Huang YJ, Kuo TC, Chang SH (2008) Adaptive sliding mode control for nonlinear systems with uncertain parameters. IEEE Trans Syst Man Cybern B Cybern 38(2):453–539

    Article  Google Scholar 

  18. Wen CC, Cheng CC (2008) Design of sliding surface for mismatched uncertain systems to achieve asymptotical stability. J Frankl Inst 345(8):926–941

    Article  MathSciNet  Google Scholar 

  19. Estrada A, Fridman L (2010) Quasi-continuous HOSM control for systems with unmatched perturbations. Automatica 46(11):1916–1919

    Article  MathSciNet  Google Scholar 

  20. Utkin V, Shi JX (1996) Integral sliding mode in systems operating under uncertainty conditions. In: Proceedings of the 35th conference decision and control, Kobe, Japan, pp 4591–4596

  21. Cao WJ, Xu JX (2004) Nonlinear integral-type sliding surface for both matched and unmatched uncertain systems. IEEE Trans Autom Control 49(8):1355–1360

    Article  MathSciNet  Google Scholar 

  22. Back J, Shim H (2008) Adding robustness to nominal output feedback controllers for uncertain nonlinear systems: a nonlinear version of disturbance observer. Automatica 44(10):2528–2537

    Article  MathSciNet  Google Scholar 

  23. Guo L, Chen WH (2005) Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach. Int J Robust Nonlinear Control 15(3):109–125

    Article  MathSciNet  Google Scholar 

  24. Zheng W, Li SH, Wang JX, Wang Z (2015) Sliding-mode control for three-phase PWM inverter via harmonic disturbance observer. In: Proceedings of the Chinese control conference, Hangzhou, China, pp 7988–7993

  25. Wei XJ, Guo L (2009) Composite disturbance-observer based control and terminal sliding mode control for nonlinear systems with disturbances. Int J Control 82(6):1082–1098

  26. Chen M, Chen WH (2010) Sliding mode control for a class of uncertain nonlinear system based on disturbance observer. Int J Adapt Control Signal Process 24(1):51–64

  27. Lu YS, Chiu CW (2011) A stability-guaranteed integral sliding disturbance observer for systems suffering from disturbances with bounded first time derivatives. Int J Control Autom Syst 19(2):402–409

    Article  Google Scholar 

  28. Adarsh P, Ginoya D, Shendge PD, Phadke SB (2016) Uncertainty-estimation-based approach to antilock braking systems. IEEE Trans Veh Technol 65(3):1171–1185

    Article  Google Scholar 

  29. Wu SN, Sun XY, Sun ZW, Wu XD (2010) Sliding mode control for staring-mode spacecraft using a disturbance observer. Proc Inst Mech Eng G 224(2):215–224

    Article  Google Scholar 

  30. Khalil HK (1996) Nonlinear systems, 2nd edn. Prentice-Hall, Upper Saddle River

    Google Scholar 

  31. Han JQ (1995) Extended state observer of a class of uncertain system. Control Decis 10(1):85–88 ((in Chinese))

  32. Sanjeev KP, Patil SL, Praveen VP, Phadke SP (2020) A new controller for boost dc-dc converters based on a novel sliding surface. Int J Electron. https://doi.org/10.1080/00207217.2020.1755999

    Article  Google Scholar 

  33. Lin H, Yin Y, Liu J, Wu L, Franquelo LG (2019) Extended state observer based second order sliding mode control strategy for DC-DC Buck. In: 22nd international conference on electrical machines and systems (ICEMS converters)

  34. Zhuo S, Gaillard A, Xu L, Paire D, Gao F (2020) Extended state observer-based control of DC-DC converters for fuel cell application. IEEE Trans Power Electron 35(9):9925–9934

    Article  Google Scholar 

  35. Sanjeev KP, Patil SL, Ginoya D, Uttam MC (2019) Robust control of mismatched buck DC-DC converters by PWM-based sliding mode control schemes. Control Eng Pract 84:183–193

    Article  Google Scholar 

  36. Wang J, Rong J, Yu L (2019) Reduced-order extended state observer based event-triggered sliding mode control for DC-DC buck converter system with parameter perturbation. Asian J Control 25:1–11

    Google Scholar 

  37. Zhang L, Wang Z, Li S, Ding S, Du H (2020) Universal finite-time observer based second-order sliding mode control for DC-DC buck converters with only output voltage measurement. J Frankl Inst 357(16):11863–11879

    Article  MathSciNet  Google Scholar 

Download references

Conflict of interest

There is no conflicts of interest.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammad Reza Ramezani-al.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ramezani-al, M.R., Emami, K. & Roozbahani, P.S. New sliding mode controller design for a DC to DC buck power converter in the presence of matched and mismatched disturbances. Int. J. Dynam. Control 10, 1208–1216 (2022). https://doi.org/10.1007/s40435-021-00873-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40435-021-00873-6

Keywords

Navigation