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Generalized-extended-state-observer-based Sliding-mode Control for Buck Converter Systems

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  • Control Theory and Applications
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Abstract

This paper presents a generalized-extended-state-observer (GESO)-based sliding-mode control (SMC) method to deal with mismatched parameter uncertainty and reference-input mutation for a class of DC-DC buck converter systems (BCS). First, a GESO is designed to estimate the total disturbance together with the system state. Then, by choosing an appropriate disturbance-compensation gain, a composite SMC law is designed to attenuate the influence of the parameter uncertainty and reference input mutation on the system output. Both the stability criterion and deign procedure of the system are given. Finally, simulation results show that the designed GESO-based SMC system for the DC-DC BCS is robustly stable and achieves both satisfactory transient and steady-state performance. Comparisons demonstrate that the proposed method provides better transient and steady-state performance for both disturbance rejection and tracking control than either conventional SMC or ESO-based control approach does.

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References

  1. Q. W. Xu, C. L. Zhang, C. Y. Wen, and P. Wang, “A novel composite nonlinear controller for stabilization of constant power load in DC microgrid,” IEEE Transactions on Smart Grid, vol. 10, no. 1, pp. 752–761, January 2017.

    Article  Google Scholar 

  2. S. C. Tan, Y. M. Lai, and C. K. Tse, “A unified approach to the design of PWM-based sliding-mode voltage controllers for basic DC-DC converters in continuous conduction mode,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 53, no. 8, pp. 1816–1827, August 2006.

    Article  Google Scholar 

  3. H. Fathabadi, “Novel photovoltaic based battery charger including novel high efficiency step-up DC/DC converter and novel high accurate fast maximum power point tracking controller,” Energy Conversion and Management, vol. 110, pp. 200–211, February 2016.

    Article  Google Scholar 

  4. S. H. Ding, W. X. Zheng, J. L. Sun, and J. D. Wang, “Second-order sliding-mode controller design and its implementation for buck converters,” IEEE Transactions on Industrial Informatics, vol. 14, no. 5, pp. 1990–2000, May 2017.

    Article  Google Scholar 

  5. J. Yang, B. Wu, S. Li, and X. Yu, “Design and qualitative robustness analysis of an DOBC approach for DC-DC buck converters with unmatched circuit parameter perturbations,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 63, no. 4, pp. 551–560, April 2016.

    Article  Google Scholar 

  6. H. Du, C. Jiang, G. Wen, W. Zhu, and T. Cheng, “Current sharing control for parallel DC-DC buck converters based on finite-time control technique,” IEEE Transactions on Industrial Informatics, vol. 15, no. 4, pp. 2186–2198, April 2019.

    Article  Google Scholar 

  7. B. Taheri, M. Sedaghat, M. Bagherpour, M. A. Bagherpour, and P. Farhadi, “A new controller for DC-DC converters based on sliding mode control techniques,” Journal of Control, Automation and Electrical Systems, vol. 30, no. 1, pp. 63–74, February 2019.

    Article  Google Scholar 

  8. B. Wang, G. L. Ma, D. Xu, L. Zhang, and J. Zhou, “Switching sliding-mode control strategy based on multi-type restrictive condition for voltage control of buck converter in auxiliary energy source,” Applied Energy, vol. 228, pp. 1373–1384, October 2018.

    Article  Google Scholar 

  9. U. Nasir, Z. Iqbal, M. T. Rasheed, and M. K. Bodla, “Voltage mode controlled buck converter under input voltage variations,” Proc. of IEEE 15th International Conference on Environment and Electrical Engineering (EEEIC), pp. 986–991, June 2015.

  10. J. Alvarez-Ramirez, G. Espinosa-Perez, and D. Noriega-Pineda, “Current-mode control of DC-DC power converters: A backstep** approach,” International Journal of Robust and Nonlinear Control, vol. 13, no. 5, pp. 421–442, January 2003.

    Article  MathSciNet  MATH  Google Scholar 

  11. S. C. Tan, Y. M. Lai, and C. K. Tse, “Sliding mode control of switching power converters,” Techniques and implementation, CRC press, Boca Raton, 2011.

    Google Scholar 

  12. B. B. Naik and A. J. Mehta, “Sliding mode controller with modified sliding function for DC-DC buck converter,” ISA Transactions, vol. 70, pp. 279–287, September 2017.

    Article  Google Scholar 

  13. M. A. Hassan, E. Li, X. Li, T. Li, C. Duan, and S. Chi, “Adaptive passivity-based control of DC-DC buck power converter with constant power load in DC microgrid systems,” IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 7, no. 3, pp. 2029–2040, September 2019.

    Article  Google Scholar 

  14. Y. Yang, S. Tan, and S. Y. R. Hui, “Adaptive reference model predictive control with improved performance for voltage-source inverters,” IEEE Transactions on Control Systems Technology, vol. 26, no. 2, pp. 724–731, March 2017.

    Article  Google Scholar 

  15. A. Babazadeh and D. Maksimovic, “Hybrid digital adaptive control for fast transient response in synchronous buck DC-DC converters,” IEEE Transactions on Power Electronics, vol. 24, no. 11, pp. 2625–2638, November 2009.

    Article  Google Scholar 

  16. J. Wang, C. Zhang, S. Li, J. Yang, and Q. Li, “Finitetime output feedback control for PWM-based DC-DC buck power converters of current sensorless mode,” IEEE Transactions on Control Systems Technology, vol. 25, no. 4, pp. 1359–1371, July 2017.

    Article  Google Scholar 

  17. C. Zhang, J. Wang, S. Li, B. Wu, and C. Qian, “Robust control for PWM-based DC-DC buck power converters with uncertainty via sampled-data output feedback,” IEEE Transactions on Power Electronics, vol. 30, no. 1, pp. 504–515, January 2015.

    Article  Google Scholar 

  18. F. Castanos and L. Fridman, “Analysis and design of integral sliding manifolds for systems with unmatched perturbations,” IEEE Transactions on Automatic Control, vol. 51, no. 5, pp. 853–858, May 2006.

    Article  MathSciNet  MATH  Google Scholar 

  19. S. H. Ding, K. Mei, and S. Li, “A new second-order sliding mode and its application to nonlinear constrained systems,” IEEE Transactions on Automatic Control, vol. 64, no. 6, pp. 2545–2552, June 2019.

    Article  MathSciNet  MATH  Google Scholar 

  20. W. H. Chen, J. Yang, L. Guo, and S. H. Li, “Disturbance-observer-based control and related methods an overview,” IEEE Transactions on Industrial Electronics, vol. 63, no. 2, pp. 1083–1095, February 2016.

    Article  Google Scholar 

  21. Q. Li, Y. M. Fang et al., “Quasi-sliding mode control for mold vibration displacement system with unmatched uncertainties,” Control and Decision (in Chinese), vol. 35, no. 7, pp. 1615–1622, July 2020.

    Google Scholar 

  22. Z. Jiang, L. Zhou, Z. Zhang, F. Jiang, and L. Cheng, “An equivalent-input-disturbance-based sliding mode control approach for DC-DC buck converter system with mismatched disturbances,” Proc. of the 38th Chinese Control Conference, pp. 639–644, July 2019.

  23. J. Wang, S. H. Li, J. Yang, B. Wu, and Q. Li, “Finite-time disturbance observer based non-singular terminal sliding-mode control for pulse width modulation based DC-DC buck converters with mismatched load disturbances,” IET Power Electronics, vol. 9, no. 9, pp. 1995–2002, April 2016.

    Article  Google Scholar 

  24. J. Q. Han, “Active disturbance rejection controller and its application,” Control and Decision (in Chinese), pp. 19–23, January 1998.

  25. Z. Q. Gao, “Active disturbance rejection control: A paradigm shift in feedback control system design,” Proc. of American Control Conference, pp. 2399–2405, July 2006.

  26. Y. Huang and W. Xue, “Active disturbance rejection control: Methodology and theoretical analysis,” ISA Transactions, vol. 53, no. 4, pp. 963–976, April 2014.

    Article  MathSciNet  Google Scholar 

  27. Z. G. Liu and S. H. Li, “Active disturbance rejection controller based on permanent magnetic synchronous motor model identification and compensation,” Proc. of the CSEE, vol. 28, no. 24, pp. 118–123, August 2008.

    Google Scholar 

  28. J. X. Wang, S. H. Li, J. Yang, B. Wu, and Q. Li, “Extended state observer-based sliding mode control for PWM-based DC-DC buck power converter systems with mismatched disturbances,” IET Control Theory Applications, vol. 9, no. 4, pp. 579–586, February 2015.

    Article  MathSciNet  Google Scholar 

  29. J. X. Wang, J. Rong, and L. Yu, “Reduced-order extended state observer based event-triggered sliding mode control for DC-DC buck converter system with parameter perturbation,” Asian Journal of Control, vol. 23, no. 3, pp. 1591–1601, 2021.

    Article  Google Scholar 

  30. G. P. Matthews and R. A. DeCarlo, “Decentralized tracking for a class of interconnected nonlinear systems using variable structure control,” Automatica, vol. 24, no. 2, pp. 187–193, March 1988.

    Article  MathSciNet  MATH  Google Scholar 

  31. A. Levant, “Higher-order sliding modes, differentiation and output-feedback control,” International Journal of Control, vol. 76, no. 9–10, pp. 924–941, 2003.

    Article  MathSciNet  MATH  Google Scholar 

  32. S. H. Li, J. Yang, W. H. Chen, and X. Chen, “Generalized extended state observer based control for systems with mismatched uncertainties,” IEEE Transactions on Industrial Electronics, vol. 59, no. 12, pp. 4792–4802, December 2012.

    Article  Google Scholar 

  33. L. Zhou, L. Cheng, J. H. She, and Z. Zhang, “Generalized extended state observer-based repetitive control for systems with mismatched disturbances,” International Journal of Robust and Nonlinear Control, vol. 29, no. 11, pp. 3777–3792, May 2019.

    Article  MathSciNet  MATH  Google Scholar 

  34. M. Csizmadia and M. Kuczmann, “Feedback linearization with integrator of DC-DC buck converter taking into account parasitic elements,” Proc. of IEEE 19th International Power Electronics and Motion Control Conference (PEMC), pp. 97–101, Gliwice, Poland, April 2021.

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Authors and Affiliations

  1. School of Information and Electrical Engineering, Hunan University of Science and Technology, **angtan, 411201, China

    Lan Zhou, **aojun Yi, Zhuang Jiang & Zhu Zhang

  2. School of Engineering, Tokyo University of Technology, Tokyo, 192-0982, Japan

    **hua She

Authors
  1. Lan Zhou
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  2. **aojun Yi
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  3. Zhuang Jiang
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Corresponding author

Correspondence to Zhuang Jiang.

Additional information

Lan Zhou received her B.S. degree in mathematics education from Hunan Normal University, Changsha, China, in 1998, an M.S. degree in applied mathematics, and a Ph.D. degree in control science and engineering from Central South University, Changsha, China, in 2006 and 2011, respectively. From 2008 to 2010, she was a Joint Cultivation Doctoral Candidate of Japan and China. She is currently a Professor of control theory and control engineering with the School of Information and Electrical Engineering, Hunan University of Science and Technology, **angtan, China. Her current research interests include robust control, repetitive control, and control application.

**aojun Yi received his B.S. degree in 2020 from Hunan University of Science and Technology, **angtan, China. He is currently pursuing an M.S. degree in electrical engineering from Hunan University of Science and Technology. His current research interests include parameter identification and servo control system of permanent magnet synchronous motor.

Zhuang Jiang received his M.S. degree in control science and engineering from Hunan University of Science and Technology, **angtan, China, in 2018. He is currently pursuing a Ph.D. degree in electrical engineering from Changsha University of Science and Technology. His research interests include relay protection and distribution network.

**hua She received his B.S. degree from Central South University, Changsha, China, in 1983, and his M.S. and Ph.D. degrees from the Tokyo Institute of Technology, Tokyo, Japan, in 1990 and 1993, respectively, all in engineering. In 1993, he joined the School of Engineering, Tokyo University of Technology, where he is currently a Professor. His research interests include application of control theory, repetitive control, process control, internet-based engineering education, and assistive robotics. Dr. She was the recipient of the International Federation of Automatic Control Engineering Practice Paper Prize in 1999 (jointly with M. Wu and M. Nakano).

Zhu Zhang received his B.S. degree in electrical engineering from Hunan Institute of Engineering in 2004, an M.S. degree in power electronics from the South China University of Technology in 2007, and a Ph.D. degree in electrical engineering from Hong Kong Polytechnic University, Hong Kong, in 2012. From 2007 to 2009, he was a Research Assistant with the Power Electronics Research Center, Hong Kong Polytechnic University. From 2012 to 2013, he had been a research as sociate with the Electrical Engineering Department, Hong Kong Polytechnic University. Since 2013, he has been a lecturer with the College of Information and Electrical Engineering, Hunan University of Science and Technology. His research interests include power electronics, power transmission, and intelligent control.

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This work was supported by the National Natural Science Foundation of China (61673167), Natural Science Foundation of Hunan Province (2021JJ30006), and Scientific Research Fund of Hunan Provincial Education Department (21A0321).

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Zhou, L., Yi, X., Jiang, Z. et al. Generalized-extended-state-observer-based Sliding-mode Control for Buck Converter Systems. Int. J. Control Autom. Syst. 20, 3923–3931 (2022). https://doi.org/10.1007/s12555-021-0382-8

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