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Incremental Passivity Based Control for DC-DC Boost Converters under Time-Varying Disturbances via a Generalized Proportional Integral Observer

  • He, Wei (Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University) ;
  • Li, Shihua (Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University) ;
  • Yang, Jun (Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University) ;
  • Wang, Zuo (Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University)
  • Received : 2016.08.01
  • Accepted : 2017.09.07
  • Published : 2018.01.20

Abstract

In this paper, the voltage tracking control of a conventional DC-DC boost converter affected by unknown, time-varying circuit parameter perturbations is investigated. Based on the fundamental property of incremental passivity, a passivity based control law is designed. Then, to obtain a better disturbance rejection property, two generalized proportional integral (GPI) observers are employed to estimate the time-varying uncertainties in the output voltage and inductor current channels, and the estimated values are applied as feedforward compensation. Moreover, the global trajectory tracking performance of a system with disturbances is ensured under the composite controller. Finally, simulation and experiment studies are provided to demonstrate the feasibility and effectiveness of the proposed method. The results show that the proposed controller delivers a promising disturbance rejection capability as well as a good nominal tracking performance.

Keywords

References

  1. L. S. Yang and C. C. Lin, “Analysis and implementation of a DC-DC converter for hybrid power supplies systems,” J. Power Electron., Vol. 15, No. 6, pp. 1438-1445, Nov. 2015. https://doi.org/10.6113/JPE.2015.15.6.1438
  2. M. Pahlevaninezhad, P. Das, J. Drobnik, P. K. Jain, and A. Bakhshai, “A ZVS interleaved boost AC-DC converter used in plug-in electric vehicles,” IEEE Trans. Power Electron., Vol. 27, No. 8, pp. 3513-3529, Aug. 2012. https://doi.org/10.1109/TPEL.2012.2186320
  3. Y. X. Wang, D. H. Yu, and Y. B. Kim, “Robust time-delay control for the DC-DC boost converter,” IEEE Trans. Ind. Electron., Vol. 61, No. 9, pp. 4829-4837, Sept. 2014. https://doi.org/10.1109/TIE.2013.2290764
  4. P. Karamanakos, T. Geyer, and S. Manias, “Direct voltage control of DC-DC boost converters using enumeration-based model predictive control,” IEEE Trans. Power Electron., Vol. 29, No. 2, pp. 968-978, Feb. 2014. https://doi.org/10.1109/TPEL.2013.2256370
  5. R. Ortega, G. Espinosa-Perez, and A. Astolfi, “Passivitybased control of AC drives: theory for the user and application examples,” International Journal of Control, Vol. 86, No. 4, pp. 625-635, Jan. 2013. https://doi.org/10.1080/00207179.2012.753643
  6. Q. L. Tong, Q. Zhang, R. Min, X. C. Zou, Z. L. Liu, and Z. Q. Chen, “Sensorless predictive peak current control for boost converter using comprehensive compensation strategy,” IEEE Trans. Ind. Electron., Vol. 61, No. 6, pp. 2754-2766, Jun. 2014. https://doi.org/10.1109/TIE.2013.2274428
  7. L. Martinez-Salamero, G. Garcia, M. Orellana, C. Lahore, and B. Estibals, “Start-up control and voltage regulation in a boost converter under sliding-mode operation,” IEEE Trans. Ind. Electron., Vol. 60, No. 10, pp. 4637-4649, Oct. 2013. https://doi.org/10.1109/TIE.2012.2210375
  8. S. M. Chen, T. J. Liang, L. S. Yang, and J. F. Chen, “A cascaded high step-up DC-DC converter with single switch for microsource applications,” IEEE Trans. Power Electron., Vol. 26, No. 4, pp. 1146-1153, Apr. 2011. https://doi.org/10.1109/TPEL.2010.2090362
  9. H. El-Fadil, F. Giri, O. El-Magueri, and F. Z. Chaoui, “Control of DC-DC power converters in the presence of coil magnetic saturation,” Control Engineering Practice, Vol. 17, No. 7, pp. 849-862, Jul. 2009. https://doi.org/10.1016/j.conengprac.2009.02.004
  10. C. Olalla, R. Leyva, A. El-Aroudi, P. Garces, and I. Queinnec, “LMI robust control design for boost PWM converters,” IET Power Electron., Vol. 3, No. 1, pp. 75-85, Jan. 2010. https://doi.org/10.1049/iet-pel.2008.0271
  11. C. L. Zhang, J. X. Wang, S. H. Li, B. Wu, and C. J. Qian, "Robust control for PWM-based DC-DC buck power converters with uncertainty via sampled-data output feedback," IEEE Trans. Power Electron., Vol. 30, No. 1, pp. 504-515, Jan. 2015. https://doi.org/10.1109/TPEL.2014.2299759
  12. I. Yazici, “Robust voltage mode controller for DC-DC boost converter,” IET Power Electron., Vol. 8, No. 3, pp. 342-349, Mar. 2014. https://doi.org/10.1049/iet-epa.2014.0022
  13. 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 Power Electron., Vol. 9, No. 4, pp. 579-586, Feb. 2015.
  14. M. Salimi and A. Zakipour, "Lyapunov based adaptive robust control of the non-minimum phase DC-DC converters using input-output linearization," J. Power Electron., Vol. 15, No. 6, pp. 1577-1583, Nov. 2015. https://doi.org/10.6113/JPE.2015.15.6.1577
  15. H. X. Liu and S. H. Li, “Speed control for PMSM servo system using predictive functional control and extended state observer,” IEEE Trans. Ind. Electron., Vol. 59, No. 2, pp. 1171-1183, Feb. 2012. https://doi.org/10.1109/TIE.2011.2162217
  16. V. Utkin, “Sliding mode control of DC-DC converters,” Journal of the Franklin Institute, Vol. 350, No. 8, pp. 2146-2165, Oct. 2013. https://doi.org/10.1016/j.jfranklin.2013.02.026
  17. C. Olalla, I. Queinnec, R. Leyva, and A. EI-Aroundi, “Robust optimal control of bilinear DC-DC converters,” Control Engineering Practice, Vol. 19, No. 7, pp. 688-699, Jul. 2011. https://doi.org/10.1016/j.conengprac.2011.03.004
  18. P. Sun and L. Zhou, “Duty ratio predictive control scheme for digital control of DC-DC switching converters,” J. Power Electron., Vol. 11, No. 2, pp. 315-320, Mar. 2006.
  19. C. Chang, Y. Yuan, T. Jiang, and Z. Zhou, "Field programmable gate array implementation of a single-input fuzzy proportional-integral-derivative controller for DC-DC buck converters," IET Power Electron., Vol. 9, No. 6, pp. 1259-1266, Apr. 2016. https://doi.org/10.1049/iet-pel.2015.0688
  20. R. J. Wai and L. C. Shi, “Adaptive fuzzy-neural-network design for voltage tracking control of a DC-DC boost converter,” IEEE Trans. Power Electron., Vol. 27, No. 4, pp. 2104-2115, Apr. 2012. https://doi.org/10.1109/TPEL.2011.2169685
  21. S. R. Sanders and G. C. Verghese, “Lyapunov-based control for switched power converters,” IEEE Trans. Power Electron., Vol. 7, No. 1, pp. 17-24, Jan. 1992. https://doi.org/10.1109/63.124573
  22. S. H. Li and Z. G. Liu, “Adaptive speed control for permanent magnet synchronous motor system with variations of load inertia,” IEEE Trans. Ind. Electron., Vol. 56, No. 8, pp. 3050-3059, Aug. 2009. https://doi.org/10.1109/TIE.2009.2024655
  23. R. Ortega, J. A. L. Perez, P. J. Nicklasson, and H. Sira-Ramirez, Passivity-based Control of Euler-Lagrange Systems: Mechanical, Electrical and Electromechanical Applications, Series Comunications and Control Engineering, chap. 3, pp. 428-640, 1998.
  24. R. Ortega, A. J. Van der Schaft, I. Mareels, and B. M. Maschke, “Putting energy back in control,” IEEE Contr. Syst. Mag., Vol. 21, No. 2, pp. 18-33, Apr. 2001. https://doi.org/10.1109/37.915398
  25. F. Doerfler, J. K. Johnsen, and F. Allgoewer, “An introduction to interconnection and damping assignment passivity based control in process engineering,” J. Process Contr., Vol. 19, No. 9, pp. 1413-1426, Oct. 2009. https://doi.org/10.1016/j.jprocont.2009.07.015
  26. A. J. Van der Schaft, $L_2$-gain and Passivity Techniques in Nonlinear Control, Springer, 1996.
  27. A. Y. Achour, B. Mendil, S. Bacha, and I. Munteanu, “Passivity-based current controller design for a permanent-magnet synchronous motor,” ISA Transactions, Vol. 48, No. 3, pp. 336-346, Jul. 2009. https://doi.org/10.1016/j.isatra.2009.04.004
  28. H. K. Khalil, Nonlinear Systems, 2nd ed., Prentice-Hall, 1996.
  29. C. Ren and S. Ma, "Generalized proportional integral observer based control of an omnidirectional mobile robot," Mechatronics, Vol. 26, pp. 36-44, Mar. 2015. https://doi.org/10.1016/j.mechatronics.2015.01.001
  30. C. Y. Chan, “Simplified parallel-damped passivity based controllers for DC-DC power converters,” Automatica, Vol. 44, No. 11, pp. 2977-2980, Nov. 2008. https://doi.org/10.1016/j.automatica.2008.05.005
  31. S. H. Li, J. Yang, W. H. Chen, and X. S. Chen, Disturbance Observer-based Control: Methods and Applications, CRC press, 2014.
  32. R. Cisneros, M. Pirro, G. Bergna, R. Ortega, G. Ippoliti, and M. Molinas, "Global tracking passivity-based PI control of bilinear systems: application to the interleaved boost and modular multilevel converters," Control Engineering Practice, Vol. 43, pp. 109-119, Oct. 2015. https://doi.org/10.1016/j.conengprac.2015.07.002
  33. A. Hernandez-Mendez, J. Linares-Flores, and H. Sira-Ramirez, “A backstepping approach to decentralized active disturbance rejection control of interacting boost converters,” IEEE Trans. Ind. Appl., Vol. 53, No. 4, pp. 4063-4072, Jul./Aug. 2017. https://doi.org/10.1109/TIA.2017.2683441
  34. Y. I. Son and I. H. Kim, “Complementary PID controller to passivity-based nonlinear control of boost converters with inductor resistance,” IEEE Trans. Contr. Syst. Technol., Vol. 20, No. 3, pp. 826-834, May 2012. https://doi.org/10.1109/TCST.2011.2134099
  35. J. Linares-Flores, A. Hernandez-Mendez, C. Garcia- Rodriguez, and H. Sira-Ramirez, “Robust nonlinear adaptive control of a “boost” converter via algebraic parameter identification,” IEEE Trans. Ind. Electron., Vol. 61, No. 8, pp. 4105-4114, Aug. 2014. https://doi.org/10.1109/TIE.2013.2284150
  36. R. J. Wai and L. C. Shih, “Design of voltage tracking control for DC-DC boost converter via total sliding-mode technique,” IEEE Trans. Ind. Electron., Vol. 58, No. 6, pp. 2502-2511, Jun. 2011. https://doi.org/10.1109/TIE.2010.2066539
  37. M. Hernandez-Gomez, R. Ortega, F. Lamnabhi-Lagarrigue, and G. Escobar, “Adaptive PI stabilization of switched power converters,” IEEE Trans. Contr. Syst. Technol., Vol. 18, No. 3, pp. 688-698, May 2010. https://doi.org/10.1109/TCST.2009.2023669
  38. J. Q. Han, “From PID to active disturbance rejection control,” IEEE Trans. Ind. Electron., Vol. 56, No. 3, pp. 900-906, Mar. 2009. https://doi.org/10.1109/TIE.2008.2011621
  39. J. X. Wang, C. L. Zhang, S. H. Li, J. Yang, and Q. Li, “Finite-time output feedback control for PWM-based DC-DC buck power converters of current sensorless mode,” IEEE Trans. Contr. Syst. Technol., Vol. 25, No. 4, pp. 1359-1371, Jul. 2017. https://doi.org/10.1109/TCST.2016.2613966