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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 686857, 8 pages
Research Article

LPV Control with Pole Placement Constraints for Synchronous Buck Converters with Piecewise-Constant Loads

School of Electrical Engineering, University of Ulsan (UOU), Ulsan 680-749, Republic of Korea

Received 5 June 2014; Revised 12 August 2014; Accepted 26 August 2014

Academic Editor: Guido Maione

Copyright © 2015 Hwanyub Joo and Sung Hyun Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper addresses the output regulation problem of synchronous buck converters with piecewise-constant load fluctuations via linear parameter varying (LPV) control scheme. To this end, an output-error state-space model is first derived in the form of LPV systems so that it can involve a mismatch error that temporally arises from the process of generating a feedforward control. Then, to attenuate the mismatch error in parallel with improving the transient behavior of the converter, this paper proposes an LMI-based stabilization condition capable of achieving both and pole-placement objectives. Finally, the simulation and experimental results are provided to show the validity of our approach.