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Mathematical Problems in Engineering
Volume 2016, Article ID 6935081, 7 pages
Research Article

Fractional-Order Terminal Sliding-Mode Control for Buck DC/DC Converter

1State Key Laboratory Base of Eco-Hydraulic Engineering in Arid Area, Xi’an University of Technology, Xi’an 710048, China
2Institute of Water Resources and Hydro-Electric Engineering, Xi’an University of Technology, Xi’an 710048, China
3College of Electronics and Information, Xi’an Polytechnic University, Xi’an 710048, China
4School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China

Received 11 March 2016; Revised 14 June 2016; Accepted 3 July 2016

Academic Editor: Anna Pandolfi

Copyright © 2016 Ningning Yang et al. 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.


In recent years, the combination of fractional calculus (FC) and sliding-mode control (SMC) has been gaining more and more interests due to fusion characteristics of SMC and FC. This paper presents the fractional-order terminal sliding-mode control (FTSMC) which has a new fractional-order sliding surface and assures the finite time convergence of the output voltage error to the equilibrium point during the load changes. TSMC is a special case of FTSMC. Through mathematical analysis, the system can reach the sliding-mode surface in finite time. The theoretical considerations have been verified by numerical simulations. And a Buck DC/DC converter application is presented and compared to illustrate the effectiveness of the proposed method. It is shown that the novel fractional terminal sliding-mode control exhibits considerable improvement in terms of a faster output voltage response during load changes.