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Design and Stability Analysis of a Discrete-time Sliding Mode Control for a Synchronous DC-DC Buck Converter

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  • Control Theory and Applications
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Abstract

This paper presents the design, analysis, and verification of a new scheme of digital sliding mode control (DSMC) for output voltage control of synchronous dc-dc buck converter to achieve fast transient response and high robustness under wide parameters variations. In this article, two different control laws are proposed for controlling the switches. First, a control law, without considering the disturbance item in the dynamic equation of the synchronous buck converter system, is obtained in the state space model and its stability analysis is presented. Then, in order to improve the dynamic performance of the buck converter, in the case of load and line changes, another control law, with considering the disturbance item is obtained and analyzed. In fact, we designed a control law that closed-loop system has strong robustness against matched or unmatched uncertainties as it reduced chattering, steady state error, overshoot and undershoot of output voltage. Its implementation only needs output error voltage measurement and doesn’t need current measurement. The simulation results are obtained using the MAT-LAB/SIMULINK software. Simulation results show that the proposed DSMC in the presence of a disturbances model is superior to proposed DSMC without disturbances consideration during immediate load and line voltage variations. In other words, it exhibits considerable reduction in terms of the overshoot and undershoot of output voltage response through an optimal control law during load changes. The proposed method almost overcomes the steady-state error and reduces the chattering to about 0.8%. Also, the overshoot and undershoot values are 4.8% and 3.9%, respectively.

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Author information

Authors and Affiliations

  1. Shahid Rajaee Teacher Training University in Electrical Engineering, Tehran, Iran

    Mahnaz Janipoor Deylamani

  2. Faculty of Electrical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran

    Parviz Amiri

  3. Electrical Engineering Faculty, Shahid Rajaee Teacher Training University, Tehran, Iran

    Mohammad Hossein Refan

Authors
  1. Mahnaz Janipoor Deylamani
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  2. Parviz Amiri
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  3. Mohammad Hossein Refan
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Corresponding author

Correspondence to Parviz Amiri.

Additional information

Recommended by Associate Editor Nam H. Jo under the direction of Editor Young IL Lee.

Mahnaz Janipoor Deylamani received her B.Sc degree from Guilan University of save in 2008, and her M.Sc. from Guilan University in 2011. She is a Ph.D. student in the Shahid Rajaee Teacher Training University in Electrical Engineering. Her interests include power electronic circuits, voltage regulator and converters.

Parviz Amiri was born in 1970. He received his B.Sc. degree from University of Mazandaran in 1994, an M.Sc. from Khajeh Nasir Toosi University (KNTU Tehran, Iran) in 1997, and a Ph.D. from University TarbiatModares (TMU, Tehran, Iran) in 2010, all degrees in Electrical Engineering (electronic). His main research interest includes electronic circuit design in industries. His primary research interest is in RF and power electronic circuits, with focus on high efficient and high linear power circuit design. He is currently with the Faculty of Electrical Engineering at ShahidRajaee Teacher Training University, in Tehran, Iran.

Mohammad Hossein Refan received his B.Sc. in Electronics Engineering from Iran University of Science and Technology, Tehran, Iran in 1972. After 12 years working and experience in industry, he started studying again in 1989 and received his M.Sc. and Ph.D. in the same field and the same University, in 1992 and 1999, respectively. He is currently an Associated Professor of Electrical Engineering Faculty, Shahid Rajaee Teacher Training University, Tehran, Iran. He is the author of about 50 scientific publications on journals and international conferences. His research interests include GPS, DCS, and Automation System.

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Deylamani, M.J., Amiri, P. & Refan, M.H. Design and Stability Analysis of a Discrete-time Sliding Mode Control for a Synchronous DC-DC Buck Converter. Int. J. Control Autom. Syst. 17, 1393–1407 (2019). https://doi.org/10.1007/s12555-017-9793-y

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