State-space Modelling and Digital Controller Design for DC-DC Converter

Oladimeji Ibrahim, Nor Zaihar Yahaya, Nordin Saad


The recent development in digital technology offers better platform for easy implementation of advance control algorithm in power converter design making digital control a viable alternative to analogue counterpart. Controller design for power converters has been very challenging due to non-linear characteristics of power switches, the supply voltage variability, load current changes and circuit element variation. This paper presents dynamic averaged state-space modelling of non-ideal dc-dc boost converter with parasitic and digital controller design for boost converter using digital redesign and direct digital design methods. The system was simulated in Matlab/Simulink to investigate the dynamic performance of the two controllers’ transient response, control bandwidth and response to variable supply voltage. The results demonstrated fast transient and wide control bandwidth for tight voltage regulation of variable input voltage.


dc-dc converter, state-space model, digital compensator, closed loop response, control bandwidth

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S. Chakraborty, M. G. Simões, and W. E. Kramer, Power Electronics for Renewable and Distributed Energy Systems: Springer, 2013.

J. M. Carrasco, L. G. Franquelo, J. T. Bialasiewicz, E. Galván, R. P. Guisado, M. A. Prats, et al., "Power-electronic systems for the grid integration of renewable energy sources: A survey," Industrial Electronics, IEEE Transactions on, vol. 53, pp. 1002-1016, 2006.

O. Ibrahim, N. Yahaya, N. Saad, and K. Ahmed, "Design and Analysis of a Digital Controller for Boost Converter with Renewable Energy Sources for Domestic DC Load," in Applied Mechanics and Materials, 2015, pp. 141-145.

M. Rashid and C. Press, Power Electronics Handbook. Devices, Circuits, and Applications, 2010.

N. Kularatna, Power electronics design handbook: low-power components and applications: Newnes, 1998.

S. Ang and A. Oliva, Power-switching converters: CRC press, 2005.

H.-H. Park and G.-H. Cho, "A DC–DC Converter for a Fully Integrated PID Compensator With a Single Capacitor," Circuits and Systems II: Express Briefs, IEEE Transactions on, vol. 61, pp. 629-633, 2014.