Application of Nonlinear and Optimal Control Techniques to High Gain DC–DC Converter

  • Nibedita Swain
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 626)


In this paper, a power converter is designed to give up an output power of 50 W. The design method is based upon two boost converter connected in cascade that gives an output of 460 V, and a high gain is needed. For controlling the voltage output of power converter, various control approaches like sliding mode controller and linear quadratic Gaussian regulator are described. The proposed small-signal averaged models for boost converter are derived mathematically. Then, it is used for designing of two different feedback controllers, which accomplish the additional understanding in the converter dynamics. First, a nonlinear sliding mode (SM) controller is designed; the design method depends on the selection of the sliding surface and switching function. And second, the design of linear quadratic Gaussian (LQG) state-feedback controller, by calculating the state-feedback gain matrix and Kalman estimator gain, is presented for the same converter topology. Here, the output voltage regulation and an excellent dynamic performance are compared between two different types of controllers. All the simulations are done in MATLAB/Simulink environment.


Boost converter Double boost converter State-space averaging technique Sliding mode controller Linear quadratic Gaussian controller 


  1. 1.
    J.H. Su, J.J. Chen, D.S. Wu, Learning feedback controller design of Switching converters via Matlab/Simulink. IEEE Trans. Educ. 45, 307–315 (2002)CrossRefGoogle Scholar
  2. 2.
    H. Guldemir, Sliding mode control of dc-dc boost converter. J. Appl. Sci. 5(3), 588–592 (2005)Google Scholar
  3. 3.
    A. Mohammadbagheri, N. Zaeri, M. Yaghoobi, Comparison performance between PID and LQR controllers for 4- leg voltage-source inverters. 2011 International Conference on Circuits, System and Simulation IPCSIT, vol. 7 (IACSIT Press, Singapore)Google Scholar
  4. 4.
    J. Matas, L.G. Vicuna, O. Lopez, M. Lopez, M. Castilla, Sliding-LQR based control of Dc–Dc converters. European Power Electronics Conference (EPE’99), Lausanne, 7–9 (1999)Google Scholar
  5. 5.
    V. Utkin, J. Guldner, J. Shi, Sliding Mode Control in Electromechanical Systems (Taylor and Francis, London, 1999)Google Scholar
  6. 6.
    B.N. Datta, Numerical Methods for Linear Control Systems (Elsevier Academic Press, San Diego, CA, 2004)Google Scholar
  7. 7.
    N. Mohan, T.M. Undeland, W.P. Robbins, Power Electronics: Converter, Applications and Devices, 2nd edn (Wiley, 1995)Google Scholar
  8. 8.
    P. Mattavelli, L. Rosetto, G. Spiazzi, Small-signal analysis of dc-dc converters with sliding mode control. IEEE Trans. Power Electron. 12(1), 96–102 (1997). Scholar
  9. 9.
    H. Guldemir, Modeling and sliding mode control of Dc–Dc buck-boost converter. 6th International Advanced Technologies Symposium (IATS’11), 16–18, Elazığ, TurkeyGoogle Scholar
  10. 10.
    Y. He, F.L. Luo, Sliding-mode control for dc-dc converters with constant switching frequency. Control Theor. Appl. 153(16), 37–45 (2006)CrossRefGoogle Scholar
  11. 11.
    G.C. Verghese, Dynamic modelling and control in power electronics, in The Control Handbook, ed. by W.S. Levine, Ed. Boca Raton (FL: CRC Press LLC), chap. 78.1, pp. 1413–1424Google Scholar
  12. 12.
    H. Guldemir, Sliding mode speed control for dc drive systems, mathematical and computational applications. 8, 337–384 (2003)Google Scholar
  13. 13.
    S.C. Tan, Y.M. Lai, 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 Trans. Circuits Syst. 53(8), 1816–1827 (2006)CrossRefGoogle Scholar
  14. 14.
    J.J. Slotine, T.S. Liu, Applied nonlinear control (Prentice Hall, Englewood Cliffs, 1991)Google Scholar
  15. 15.
    J.Y. Hung, W. Gao, J.C. Hung, Variable structure control: a survey. IEEE Trans. Industr. Electron. 40(1), 2–21 (1993). Scholar
  16. 16.
    V. Utkin, Sliding mode control design principles and applications to electric drives. IEEE Trans. Ind. Appl. 40, 23–36 (1993)Google Scholar
  17. 17.
    B. Kavya Santhoshi, K. Mohana Sundaram, M. Sivasubramanian, S. Akila, A novel multiport bidirectional dual active bridge dc-dc converter for renewable power generation systems.

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Nibedita Swain
    • 1
  1. 1.Deptartment of EEESilicon Institute of TechnologyBhubaneswarIndia

Personalised recommendations