Switched optimal control of a DC-DC converter

Authors

  • Diego Alfonso Esteban Méndez Universidad Industrial de Santander
  • Jaffraith Sánchez Carvajalino Universidad Industrial de Santander
  • Ricardo Alzáte Castaño Universidad Industrial de Santander (U https://orcid.org/0000-0001-7865-5742

Keywords:

Bang-bang control, switching-optimal control Buck power conversion circuit, Pontryagin’s maximum principle

Abstract

In this work, switching-based control is applied on regulation of power conversion circuits. In particular, a DC-DC Bucktype power converter has been designed and simulated, both for nominal conditions and under disturbances. First of all, a classical OnOff controller was employed to compensate the effects of disturbances in the loop, in order to check the correctness of the operational conditions for the controlled system. Then, an optimal-switching bangbang controlled was designed and implemented, taking into account the Pontryagin’s Maximum principle, showing a good performance for disturbance rejection, improvement of dynamical features in the response and reduction of error’s energy by mean of verification of optimality criteria. Results show that despite the fact both techniques analyzed; i.e. On-Off and bang-bang, are switching-based laws, the performance index on the optimal controller allows to obtain a cleaner shape with less energy consumption. Ongoing work includes the experimental verification of the optimal technique in laboratory.

Downloads

Download data is not yet available.

Author Biographies

  • Diego Alfonso Esteban Méndez, Universidad Industrial de Santander

    Nació en Bucaramanga, Colombia, el 23 de marzo de 1990. Culminó sus estudios de Ingeniería Electrónica en la Universidad Industrial de Santander en 2015. Sus intereses de investigación se orientan hacia el análisis de optimalidad en sistemas de gestión de energía.

  • Jaffraith Sánchez Carvajalino, Universidad Industrial de Santander

    Nació en Ocaña, Colombia, el 16 de marzo de 1988. Culminó sus estudios de Ingeniería Electrónica en la Universidad Industrial de Santander en 2015. Sus intereses de investigación se orientan hacia el desarrollo de algoritmos para el cálculo variacional de la dinámica de sistemas eléctricos.

  • Ricardo Alzáte Castaño, Universidad Industrial de Santander (U

    (M’09). Nació en Palmira, Colombia, el 06 de marzo de 1979. Obtuvo el Título de Ingeniero Electrónico en 2003, y de Magister en Automatización Industrial en 2006, ambos otorgados por la Universidad Nacional de Colombia – Sede Manizales. En 2009 obtuvo el título de Doctor en Automatización por parte de la Universidad de Nápoles FEDERICO II en Italia. Desde 2010 está vinculado como Profesor de Tiempo Completo en la Escuela de Ingenierías Eléctrica Electrónica y de Telecomunicaciones (E3T) de la Universidad Industrial de Santander (UIS), en Bucaramanga – Colombia. Sus intereses de investigación incluyen el análisis de sistemas dinámicos no lineales y la síntesis de estrategias avanzadas de control para sistemas de gestión de energía

References

I. E. Agency, “Key world energy statistics 2014,” 2014.

D. W. Hart, Electrónica de Potencia. Pearson Educación, SA, 2001.

J. G. Kassakian, M. F. Schlecht, and G. C. Verghese, Principles of power electronics. Addison-Wesley Reading, USA, 1991.

R. W. Erickson and D. Maksimovic, Fundamentals of power electronics. Springer, 2001.

V. Utkin, J. Guldner, and M. Shijun, Sliding mode control in electromechanical systems. CRC press, 1999, vol. 34.

H. Sira-Ramírez and R. Silva-Ortigoza, Control design techniques in power electronics devices. Springer, 2006.

C. Elmas, O. Deperlioglu, and H. H. Sayan, “Adaptive fuzzy logic controller for dc–dc converters,” Expert Systems with Applications, vol. 36, no. 2, pp. 1540–1548, 2009.

R. Sepulchre, M. Jankovic, and P. V. Kokotovic, Constructive nonlinear control. Springer-Verlag, Berlin., 1997.

M. Pahlevaninezhad, P. Das, J. Drobnik, G. Moschopoulos, P. K. Jain, and A. Bakhshai, “A nonlinear optimal control approach based on the control-lyapunov function for an ac/dc converter used in electric vehicles,” Industrial Informatics, IEEE Transactions on, vol. 8, no. 3, pp. 596–614, 2012.

X. Liu, G. Zhang, D. Yang, T. Shi, and X. He, “Discrete-time optimal control of photovoltaic grid-connected inverter based on particle swarm optimization,” Mathematical Problems in Engineering, 2014.

di Bernardo, M., Budd, C., Champneys, A.R., and Kowalczyk, P. Piecewise-smooth dynamical systems: theory and applications. London: Springer-Verlag, 2008.

Goebel, R., Sanfelice, R. G. and Teel, A. R. Hybrid dynamical systems. IEEE Control Systems Magazine, vol.29 (2), pp. 28-93, 2009.

Rubaai, A. and Jerry, J. Hybrid fuzzy bang-bang mode controller with switching function for electric motor drives applications. Industry Applications IEEE Transactions on, vol. 50 (3), pp. 2269-2276, 2014.

N. Aghasadeghi, A. Long, and T. Bretl, “Inverse optimal control for a hybrid dynamical system with impacts,” in Robotics and Automation (ICRA), 2012 IEEE International Conference on. IEEE, 2012, pp. 4962–4967.

R.W.H. Sargent, Optimal control, Journal of Computational and Applied Mathematics, Volume 124, Issues 1–2, pp. 361-371. 2000.

Xuping Xu; Antsaklis, P.J., “Optimal control of switched systems based on parameterization of the switching instants,” in Automatic Control, IEEE Transactions on , vol.49, no.1, pp.2-16, Jan. 2004.

Shahid Shaikh, M.; Caines, P.E., “On the Hybrid Optimal Control Problem: Theory and Algorithms,” in Automatic Control, IEEE Transactions on , vol.52, no.9, pp.1587-1603, Sept. 2007.

Jian Xu; Qijun Chen, “Optimal control of switched hybrid systems,” in Control Conference (ASCC), 2011 8th Asian , vol., no., pp.1216- 1220, 15-18 May 2011.

Sorin C. Bengea, Raymond A. DeCarlo, Optimal control of switching systems, Automatica, Volume 41, Issue 1, January 2005, Pages 11-27.

Ghomanjani, F.; Farahi, M. H., “Optimal Control of Switched Systems based on Bezier Control Points,” in I. J. Intelligent Systems and Applications , vol.4, no.7, pp.16-22, Jun. 2012.

Lucas, S.K.; Kaya, C.Y., “Switching-time computation for bang-bang control laws,” American Control Conference, 2001. Proceedings of the 2001 , vol.1, no., pp.176,181 vol.1, 2001.

X. Wang. Solving optimal control problems with MATLAB: Indirect methods. Technical report, ISE Dept., NCSU, 2009.

Optimization Toolbox™ User’s Guide, The MathWorks, Inc., 2015

Downloads

Published

2016-03-15

Issue

Vol. 10 No. 19 (2016)

Section

Artículos

How to Cite

Switched optimal control of a DC-DC converter. (2016). Entre Ciencia E ingeniería, 10(19), 16-21. https://revistas.ucp.edu.co/index.php/entrecienciaeingenieria/article/view/440