Title: Application of LQR theory to modular current-programmed buck converters

Authors: Mohammed R.D. Al-Mothafar; Saleh M. Radaideh; Nuha M. Radaydeh

Addresses: Electrical Engineering Department, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan ' Electrical Engineering Department, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan ' Department of Power Engineering, Hijjawi Faculty for Engineering Technology, Yarmouk University, Irbid 21163, Jordan

Abstract: This paper investigates the application of the linear-quadratic regulator (LQR) theory to modular current-mode-controlled (CMC) pulse-width-modulated (PWM) dc-dc converters operating in the continuous conduction mode. Small-signal models are used in conjunction with the LQR technique to design new feedback controllers for a two-module parallel-input series-output step-down (buck) dc-dc converter under two different control schemes. The dynamic responses are compared with those obtained using the classical control approach. Cycle-by-cycle simulations are performed to validate the analysis.

Keywords: linear quadratic regulator; LQR; modular dc-dc converters; switching power supplies; current mode control; CMC; buck converters; pulse width modulation; PWM; continuous conduction; feedback control; controller design; simulation.

DOI: 10.1504/IJESMS.2015.066123

International Journal of Engineering Systems Modelling and Simulation, 2015 Vol.7 No.1, pp.6 - 21

Accepted: 03 Oct 2013
Published online: 03 Dec 2014 *

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