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Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs

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Department of Electrical & Electronic Engineering, Rajshahi University of Engineering & Technology, Rajshahi 6204, Bangladesh
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Department of Electronics & Telecommunication Engineering, Rajshahi University of Engineering & Technology, Rajshahi 6204, Bangladesh
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Department of Electrical & Computer Engineering, Rajshahi University of Engineering & Technology, Rajshahi 6204, Bangladesh
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School of Engineering, Deakin University, Geelong, VIC 3216, Australia
*
Author to whom correspondence should be addressed.
Academic Editors: Victor Becerra and Ahmed Rachid
Energies 2021, 14(20), 6753; https://doi.org/10.3390/en14206753
Received: 24 September 2021 / Revised: 12 October 2021 / Accepted: 14 October 2021 / Published: 17 October 2021
This paper proposes a composite nonlinear controller combining backstepping and double-integral sliding mode controllers for DC–DC boost converter (DDBC) feeding by constant power loads (CPLs) to improve the DC-bus voltage stability under large disturbances in DC distribution systems. In this regard, an exact feedback linearization approach is first used to transform the nonlinear dynamical model into a simplified linear system with canonical form so that it becomes suitable for designing the proposed controller. Another important feature of applying the exact feedback linearization approach in this work is to utilize its capability to cancel nonlinearities appearing due to the incremental negative-impedance of CPLs and the non-minimum phase problem related to the DDBC. Second, the proposed backstepping double integral-sliding mode controller (BDI-SMC) is employed on the feedback linearized system to determine the control law. Afterwards, the Lyapunov stability theory is used to analyze the closed-loop stability of the overall system. Finally, a simulation study is conducted under various operating conditions of the system to validate the theoretical analysis of the proposed controller. The simulation results are also compared with existing sliding mode controller (ESMC) and proportional-integral (PI) control schemes to demonstrate the superiority of the proposed BDI-SMC. View Full-Text
Keywords: backstepping double-integral sliding mode control scheme; constant power load; exact feedback linearization approach; Lyapunov stability theory; negative-resistance characteristics; non-minimum phase; nonlinear dynamical model backstepping double-integral sliding mode control scheme; constant power load; exact feedback linearization approach; Lyapunov stability theory; negative-resistance characteristics; non-minimum phase; nonlinear dynamical model
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MDPI and ACS Style

Ghosh, S.K.; Roy, T.K.; Pramanik, M.A.H.; Mahmud, M.A. Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs. Energies 2021, 14, 6753. https://doi.org/10.3390/en14206753

AMA Style

Ghosh SK, Roy TK, Pramanik MAH, Mahmud MA. Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs. Energies. 2021; 14(20):6753. https://doi.org/10.3390/en14206753

Chicago/Turabian Style

Ghosh, Subarto Kumar, Tushar Kanti Roy, Md. Abu Hanif Pramanik, and Md. Apel Mahmud. 2021. "Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs" Energies 14, no. 20: 6753. https://doi.org/10.3390/en14206753

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