Journal of Power Electronics

The Korean Institute of Power Electronics (전력전자학회)
권호 표지
DOI QR코드

DOI QR Code

Minimum Time Regulation of DC-DC Converters in Damping Mode with an Optimal Adjusted Sliding Mode Controller

  • Received : 2011.06.02
  • Published : 2012.09.20
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, a new development in the time optimal control theory in sliding mode control systems for multi-quadrant buck converters with a variable load is presented. In general, the closed-loop time optimal control system is applied to multi-quadrant buck converters for output regulation, so that an optimal switching surface is obtained. Moreover, an adjusted optimal sliding mode controller is suggested which adjusts the controller parameters to give an optimal switching surface. In addition, a description of the transient response of the closed-loop system is proposed and used to damp any output or input disturbances in minimum time. Numerical simulations and experimental results are employed to demonstrate that the output regulation time and transient performances of dc/dc converters using the proposed technique are improved effectively when compared to the classical sliding mode control method.

Keywords

References

  1. V. Utkin, J. Guldner, and J. X. Shi, Sliding Mode Control In Electromechanical Systems, Second Edition, CRC Press, Taylor and Francis Group, 2009.
  2. I. Zinober, Variable Structure and Lyapunov Control, Lecture Notes in Control and Information Sciences, Springer-Verlag, Berlin, 1994.
  3. L. Skvarenina, The Power Electronics Handbook, CRC Press, 2002.
  4. I. Eker, "Sliding mode control with PID sliding surface and experimental application to an electromechanical plant," ISA Transactions, Vol. 45, No. 1, pp. 109-118, Jan. 2006. https://doi.org/10.1016/S0019-0578(07)60070-6
  5. S.-C. Tan, Y. M. Lai, M. K. H. Cheung, and C. K. Tse, "On the practical design of a sliding mode voltage controlled buck converter," IEEE Trans. Power Electron., Vol. 20, No. 2, pp. 425-437, Mar. 2005. https://doi.org/10.1109/TPEL.2004.842977
  6. Y. He, W. Xu and Y. Cheng, "A novel scheme for sliding-mode control of dc-dc converters with a constant frequency based on the averaging model," Journal of Power Electronics, Vol. 10, No. 1, pp. 1-8, Jan. 2010. https://doi.org/10.6113/JPE.2010.10.1.001
  7. S.-C. Tan, Y. M. Lai, and C. K. Tse, "Indirect sliding mode control of power converters via double integral sliding surface," IEEE Trans. Power Electron., Vol. 23, No. 2, pp. 600-611, Mar. 2008. https://doi.org/10.1109/TPEL.2007.915624
  8. E. Kirk, Optimal Control Theory: An Introduction, Dover Publications Inc., Mineola, New York, 2004.
  9. T. Chatchanayuenyong and M. Parnichkun, "Neural network based-time optimal sliding mode control for an autonomous underwater robot," Mechatronics, Vol. 16, pp. 471-478, Feb. 2006. https://doi.org/10.1016/j.mechatronics.2006.02.003
  10. M. J. Jafarian and J. Nazarzadeh, "Time-optimal sliding-mode control for multi-quadrant buck converters," Power Electronics, IET, Vol. 4, No. 1, pp. 143-146, Jan. 2011. https://doi.org/10.1049/iet-pel.2009.0316
  11. S.-C. Tan, Y. M. Lai, C. K. Tse, and M. K. H. Cheung, "Adaptive feedforward and feedback control schemes for sliding mode controlled power converters," IEEE Trans. Power Electron., Vol. 21, No. 1, pp. 182-192, Jan. 2006. https://doi.org/10.1109/TPEL.2005.861191
  12. P. Mattavelli, L. Rossetto, G. Spiazzi, and P. Tenti, "General-purpose sliding-mode controller for dc/dc converter applications," In Proc. IEEE PESC, pp. 609-615, 1993.
  13. E. M. Navarro-LA'opez, D. Cortes, and C. Casto, "Design of practical sliding mode controllers with constant switching frequency for power converters," Electric Power Systems Research, Vol. 79, pp. 796-802, Dec. 2009. https://doi.org/10.1016/j.epsr.2008.10.018
  14. S. Kapat and P. Krein, "Improved time optimal control of a buck converter based on capacitor current," IEEE Trans. Power Electron., Vol. 27, No. 23, pp. 1444-1454, Mar. 2012. https://doi.org/10.1109/TPEL.2011.2163419
  15. M. Ordonez, T. Iqbal, and E. Quaicoe, "Selection of a curved switching surface for buck converters," IEEE Trans. Power Electron., Vol. 21, No. 4, pp. 1148-1153, Jul. 2006. https://doi.org/10.1109/TPEL.2006.879049
  16. S. Leung and S. Chung, "Derivation of a second-order switching surface in the boundary control of buck converters," IEEE Power Electronics Letter, Vol. 2, No. 2, pp. 63-67, Jun. 2004. https://doi.org/10.1109/LPEL.2004.834796
  17. M. Athens and L. Falb, Optimal Control: An Introduction To The Theory And Its Applications, McGraw-Hill, New York, 1966.
  18. E. Sanchez-Sinencio, J. Ramirez-Angulo, B. Linares-Barranco, and A. Rodriguez-Vazquez, "Operational transconductance amplifier-based nonlinear function syntheses," IEEE J. Solid-State Circuits, Vol. 24, No. 6, pp. 1576-1586, Dec. 1989. https://doi.org/10.1109/4.44993

Cited by

  1. A Time-Varying Gain Super-Twisting Algorithm to Drive a SPIM vol.13, pp.6, 2013, https://doi.org/10.6113/JPE.2013.13.6.955
  2. PWM-Based Sliding Mode Controller for Three-Level Full-Bridge DC-DC Converter that Eliminates Static Output Voltage Error vol.15, pp.2, 2015, https://doi.org/10.6113/JPE.2015.15.2.378
  3. Applying bilinear time-optimal control system in boost converters vol.7, pp.4, 2014, https://doi.org/10.1049/iet-pel.2013.0288