Skip to main content
Log in

Sliding mode-based H-infinity filter for SOC estimation of lithium-ion batteries

  • Original Paper
  • Published:
Ionics Aims and scope Submit manuscript

Abstract

H-infinity filter (HIf) is widely used in state of charge (SOC) estimation of lithium-ion batteries due to its superior performance to extended Kalman filter (EKF) whose robustness is weak. In this paper, an improved HIf-based SOC estimation algorithm is proposed, which incorporates a sliding mode observer, yielding better estimation stability and accuracy than conventional HIf. The proposed algorithm takes advantages of HIf and sliding mode observer that it is more robust to the modeling error and noises. Samsung ICR18650 lithium-ion battery cell is tested and results show that the proposed method improves SOC estimation accuracy, two error indicators are evaluated and both are reduced compared to that of the EKF and HIf.

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

Similar content being viewed by others

References

  1. Zhang C, Yang F, Ke XY, Liu ZF, Yuan C (2019) Predictive modeling of energy consumption and greenhouse gas emissions from autonomous electric vehicle operations. Appl Energy 254:113597

    Article  CAS  Google Scholar 

  2. Saha P, Dey S, Khanra M (2020) Modeling and State-of-Charge Estimation of Supercapacitor Considering Leakage Effect. IEEE Trans on Ind Electron 67:350–357

    Article  Google Scholar 

  3. Berecibar M, Gandiaga I, Villarreal I, Omar N, Mierlo JV, Bossche PVD (2016) Critical review of state of health estimation methods of Li-ion batteries for real applications. Renew Sustain Energy Rev 56:572–587

    Article  CAS  Google Scholar 

  4. Hannan MA, Lipu MSH, Hussain A, Mohamed A (2017) A review of lithium-ion battery state of charge estimation and management system in electric vehicle applications: challenges and recommendations. Renew Sustain Energy Rev 78:834– 854

    Article  Google Scholar 

  5. Wang YB, Fang HZ, Zhou L, Wada T (2017) Revisiting the state-of-charge estimation for lithium-ion batteries: A methodical investigation of the extended Kalman filter approach. IEEE Contr Syst 37:73–96

    Article  CAS  Google Scholar 

  6. Li XY, Wang ZP, Zhang L (2019) Co-estimation of capacity and state-of-charge for lithium-ion batteries in electric vehicles. Energy 174:33–44

    Article  Google Scholar 

  7. Xiong R, Tian JP, Mu H, Wang C (2017) A systematic model-based degradation behavior recognition and health monitoring method for lithium-ion batteries. Appl Energy 207:372–383

    Article  Google Scholar 

  8. Zheng FD, Xing YJ, Jiang JC, Sun BX, Kim J, Pecht M (2016) Influence of different open circuit voltage tests on state of charge online estimation for lithium-ion batteries. Appl Energy 183:513–525

    Article  CAS  Google Scholar 

  9. Hu XS, Jiang HF, Feng F, Liu B (2020) An enhanced multi-state estimation hierarchy for advanced lithium-ion battery management. Appl Energy 257:114019

    Article  Google Scholar 

  10. Ghalkhani M, Bahiraei F, Nazi GA, Saif M (2017) ElectrochemicaleThermal model of pouch-type lithium-ion batteries. Electrochim Acta 247:569–587

    Article  CAS  Google Scholar 

  11. Wang QK, He YJ, Shen JN, Ma ZF, Zhong GB (2017) A unified modeling framework for lithium-ion batteries: an artificial neural network based thermal coupled equivalent circuit model approach. Energy 138:118–132

    Article  Google Scholar 

  12. Jiao M, Wang DQ, Qiu LJ (2020) GRU-RNN based momentum optimized algorithm for SOC estimation. J Power Sources 459:228051

    Article  CAS  Google Scholar 

  13. Chemali E, Kollmeyer PJ, Preindl M, Ahmed R, Emadi A (2018) Long short-term memory networks for accurate state-of-charge estimation of Li-ion batteries. IEEE Trans Ind Electron 65:6730–6739

    Article  Google Scholar 

  14. Sheng H, Xiao J (2015) Electric vehicle state of charge estimation: nonlinear correlation and fuzzy support vector machine. J Power Sources 281:131–137

    Article  CAS  Google Scholar 

  15. Xia B, Cui D, Sun Z, Lao Z, Zhang R, Wang W (2018) State of charge estimation of lithium-ion batteries using optimized Levenberg-Marquardt wavelet neural network. Energy 153:694–705

    Article  Google Scholar 

  16. Moura S, Chaturvedi N, Krstic M (2012) PDE estimation techniques for advanced battery management systems; Part I: SOC estimation. Am Control Conf 2012:559–565

    Google Scholar 

  17. Klein R, Chaturvedi N, Christensen J, Ahmed J, Findeisen R, Kojic A (2013) Electrochemical model based observer design for a lithiumion battery. IEEE Trans Contr Syst Technol 21:289–301

    Article  Google Scholar 

  18. Tran N, Vilathgamuwa D, Li Y, Farrell TW, Choi SS, Teague J (2017) State of charge estimation of lithium ion batteries using an extended single particle model and sigma-point Kalman1 filter. In: IEEE southern power electronics conference, vol 2017, pp 624–629

  19. Yang JF, Huang W, Xia B, Mi C (2019) The improved open-circuit voltage characterization test using active polarization voltage reduction method. Appl Energy 237:682–694

    Article  Google Scholar 

  20. Shen YQ (2018) A chaos genetic algorithm based extended Kalman filter for the available capacity evaluation of lithium-ion batteries. Electrochim Acta 264:400–409

    Article  CAS  Google Scholar 

  21. Zhang LJ, Peng H, Ning ZS, Mu ZQ, Sun CY (2017) Comparative research on RC equivalent circuit models for lithium-ion batteries of electric vehicles. Appl Sci 7:1002

    Article  Google Scholar 

  22. Dai HF, Wei XZ, Sun ZC, Wang JY, Gu WJ (2012) Online cell SOC estimation of Li-ion battery packs using a dual time-scale Kalman filtering for EV applications. Appl Energy 95:227–237

    Article  Google Scholar 

  23. He HW, Qin HZ, Sun XK, Shui YP (2013) Comparison study on the battery SoC estimation with EKF and UKF algorithms. Energies 6:5088–5100

    Article  Google Scholar 

  24. Ramadan H, Becherif M, Claude F (2017) Extended Kalman filter for accurate state of charge estimation of lithium-based batteries: a comparative analysis. Int J Hydrogen Energy 42:29033–29046

    Article  CAS  Google Scholar 

  25. Xu J, Mi CC, Cao BG, Deng JJ, Chen ZZ, Li S (2014) The state of charge estimation of lithium-ion batteries based on a proportional-integral observer. IEEE Trans Veh Technol 63:1614–1621

    Article  Google Scholar 

  26. Chen XP, Shen WX, Cao ZW, Kapoor A (2014) A novel approach for state of charge estimation based on adaptive switching gain sliding mode observer in electric vehicles. J Power Sources 2469:667–678

    Article  Google Scholar 

  27. Chen S, Fu YH, Mi C (2013) State of charge estimation of lithium-ion batteries in electric drive vehicles using extended Kalman filtering. IEEE Trans Veh Technol 62:1020–1030

    Article  Google Scholar 

  28. Wang YJ, Zhang CB, Chen ZH (2015) A method for state-of-charge estimation of Li-ion batteries based on multi-model switching strategy. Appl Energy 137:427–434

    Article  Google Scholar 

  29. Perez G, Garmendia M, Reynaud JF, Crego J, Viscarret U (2015) Enhanced closed loop State of Charge estimator for lithium-ion batteries based on Extended Kalman Filter. Appl Energy 155:834–845

    Article  CAS  Google Scholar 

  30. Li WQ, Yang Y, Wang DQ, Yin SQ (2020) The multi-innovation extended Kalman filter algorithm for battery SOC estimation. Ionics 26:6145–6156

    Article  CAS  Google Scholar 

  31. Zhu Q, Li L, Hu XS, Xiong N, Hu G (2017) H\(\infty \)-based nonlinear observer design for state of charge estimation of lithium-ion battery with polynomial parameters. IEEE Trans Veh Technol 66:10853–10865

    Article  Google Scholar 

  32. Liu Z, Dang XJ (2018) A new method for State of Charge and capacity estimation of lithium-ion battery based on dual strong tracking adaptive H-infinity filter. Math Probl Eng :5218205

  33. Farmann A, Waag W, Marongiu A (2015) Critical review of on-board capacity estimation techniques for lithium-ion batteries in electric and hybrid electric vehicles. J Power Sources 281:114–130

    Article  CAS  Google Scholar 

  34. Z Wei, C Zou, F Leng, BH Soong, KJ Tseng (2018) Online model identification and state-ofcharge estimate for lithium-ion battery with a recursive total least squares-based observer. IEEE Trans Ind Electron 65:1336–1346

    Article  Google Scholar 

  35. Chen XK, Lei H, Xiong R, Shen WX, Yang R (2019) A novel approach to reconstruct open circuit voltage for state of charge estimation of lithium ion batteries in electric vehicles. Appl Energy 255:113758

    Article  Google Scholar 

  36. Luo JY, Peng JK, HE HW (2019) Lithium-ion battery SOC estimation study based on Cubature Kalman filter. Energy Procedia 158:3421–3426

    Article  Google Scholar 

  37. Lao ZZ, Xia BZ, Wang W, Sun W, Lai Y, Wang M (2018) A novel method for lithium-ion battery online parameter identification based on variable forgetting factor recursive least squares. Energies 11:1358

    Article  Google Scholar 

  38. Claude F, Becherif M, Ramadan HS (2017) Experimental validation for Li-ion battery modeling using Extended Kalman Filters. Int J Hydrogen Energy 42:25509–25517

    Article  CAS  Google Scholar 

  39. Feng L, Ding J, Han YY (2020) Improved sliding mode based EKF for the SOC estimation of lithium-ion batteries. Ionics 26:2875–2882

    Article  CAS  Google Scholar 

  40. Chen QY, Jiang JC, Ruan HJ (2017) Simply designed and universal sliding mode observer for the SOC estimation of lithium-ion batteries. IET Power Electron 10:697–705

    Article  Google Scholar 

  41. Hu XS, Li SB, Peng H (2012) A comparative study of equivalent circuit models for Li-ion batteries. J Power Sources 198:359–367

    Article  CAS  Google Scholar 

  42. Zhu R, Duan B, Zhang J, Zhang Q, Zhang Q (2020) Co-estimation of model parameters and state-of-charge for lithium-ion batteries with recursive restricted total least squares and unscented Kalman filter. Appl Energy 277:115494

    Article  Google Scholar 

  43. Constantin P, Jacob B, Silviu C (2008) A robust variable forgetting factor recursive least-squares algorithm for system identification. IEEE Signal Process Lett 15:597–600

    Article  Google Scholar 

  44. Li XL, Zhou LC, Sheng J (2014) Recursive least squares parameter estimation algorithm for dual-rate sampled-data nonlinear systems. Nonlinear Dyn 76:1327–1334

    Article  Google Scholar 

  45. Sun F, Xiong R (2015) A novel dual-scale cell state-of-charge estimation approach for series-connected battery pack used in electric vehicles. J Power Sources 274:582–594

    Article  CAS  Google Scholar 

  46. Thein MWL (2003) A discrete time variable structure observer for uncertain systems with measurement noise. In: Proc. IEEE conference on decision and control, vol 2003, pp 2582–2587

  47. Harikumar K, Bera T, Bardhan R (2019) Discrete-time sliding mode observer for the state estimation of a manoeuvring target. J Syst Contr Eng 233:095965181982648

    Google Scholar 

  48. Thein MWL (2002) A discrete time variable structure observer with overlapping boundary layers. In: Proc. Amer Control Conf, pp 2633–2638

Download references

Funding

This work was supported by Natural Science Foundation of Jangsu Province and the Natural Science Foundation of NJUPT under Grant NY220217.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jie Ding.

Additional information

Publisher’s note

Springer Nature 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

Yao, J., Ding, J., Cheng, Y. et al. Sliding mode-based H-infinity filter for SOC estimation of lithium-ion batteries. Ionics 27, 5147–5157 (2021). https://doi.org/10.1007/s11581-021-04234-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11581-021-04234-3

Keywords

Navigation