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A Multi-Index Feedback Linearization Control for a Buck-Boost Converter

Author

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  • Xiaocong Li

    (Guangxi Key Laboratory of Power System Optimization and Energy Technology, Guangxi University, Nanning 530004, China)

  • Xin Chen

    (College of Electrical Engineering, Guangxi University, Nanning 530004, China)

Abstract

Due to the nonlinear and nonminimum phase characteristics of the buck-boost converter, the design of its controller has always been a challenging problem. In this paper, a multi-index feedback linearization control strategy is proposed to design the controller of the buck-boost converter. Firstly, by constructing an appropriate output function, the original nonlinear system is mapped into a combination of a linear subsystem and a nonlinear subsystem. Then, according to the structural characteristics of these two subsystems, the linear optimal control theory is adopted for the control design of the linear subsystem to make it have a good output performance, while for the nonlinear subsystem, the coefficient of the output function is adjusted to ensure its stability. Finally, based on the Hartman–Grobman theorem, the internal mechanism and coefficient adjustment basis of the proposed method are revealed; that is, by adjusting the coefficient of the output function and the feedback coefficient of the linear control law, the poles of the system are configured to achieve the purpose of adjusting the static and dynamic performance of the system. The simulation results show the feasibility and superiority of using the multi-index feedback linearization control strategy to design the nonlinear control law of the buck-boost converter.

Suggested Citation

  • Xiaocong Li & Xin Chen, 2021. "A Multi-Index Feedback Linearization Control for a Buck-Boost Converter," Energies, MDPI, vol. 14(5), pages 1-14, March.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:5:p:1496-:d:513446
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    References listed on IDEAS

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    1. Ben Zhao & Alexander Abramovitz & Chang Liu & Yongheng Yang & Yigeng Huangfu, 2020. "A Family of Single-Stage, Buck-Boost Inverters for Photovoltaic Applications," Energies, MDPI, vol. 13(7), pages 1-21, April.
    2. Tsung-Hsi Wu & Chin-Sien Moo & Chih-Hao Hou, 2017. "A Battery Power Bank with Series-Connected Buck–Boost-Type Battery Power Modules," Energies, MDPI, vol. 10(5), pages 1-12, May.
    3. Ching-Ming Lai & Yuan-Chih Lin & Dasheng Lee, 2015. "Study and Implementation of a Two-Phase Interleaved Bidirectional DC/DC Converter for Vehicle and DC-Microgrid Systems," Energies, MDPI, vol. 8(9), pages 1-23, September.
    4. Christos Yfoulis & Simira Papadopoulou & Spyridon Voutetakis, 2020. "Robust Linear Control of Boost and Buck-Boost DC-DC Converters in Micro-Grids with Constant Power Loads," Energies, MDPI, vol. 13(18), pages 1-21, September.
    5. Chao Ai & Wei Gao & Qinyu Hu & Yankang Zhang & Lijuan Chen & Jiawei Guo & Zengrui Han, 2020. "Application of the Feedback Linearization in Maximum Power Point Tracking Control for Hydraulic Wind Turbine," Energies, MDPI, vol. 13(6), pages 1-18, March.
    6. Ching-Sung Wang & Mao-Hsiung Chiang, 2016. "A Novel Pitch Control System of a Large Wind Turbine Using Two-Degree-of-Freedom Motion Control with Feedback Linearization Control," Energies, MDPI, vol. 9(10), pages 1-18, September.
    7. Ehsan Jamshidpour & Slavisa Jovanovic & Philippe Poure, 2020. "Equivalent Two Switches and Single Switch Buck/Buck-Boost Circuits for Solar Energy Harvesting Systems," Energies, MDPI, vol. 13(3), pages 1-16, January.
    8. Deepak Elamalayil Soman & Mats Leijon, 2017. "Cross-Regulation Assessment of DIDO Buck-Boost Converter for Renewable Energy Application," Energies, MDPI, vol. 10(7), pages 1-11, June.
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    Cited by:

    1. Gabriel R. Broday & Luiz A. C. Lopes & Gilney Damm, 2022. "Exact Feedback Linearization of a Multi-Variable Controller for a Bi-Directional DC-DC Converter as Interface of an Energy Storage System," Energies, MDPI, vol. 15(21), pages 1-26, October.
    2. Lu Liu & Yun Zeng, 2023. "Intelligent ISSA-Based Non-Singular Terminal Sliding-Mode Control of DC–DC Boost Converter Feeding a Constant Power Load System," Energies, MDPI, vol. 16(13), pages 1-23, June.
    3. Rongchao Niu & Hongyu Zhang & Jian Song, 2023. "Model Predictive Control of DC–DC Boost Converter Based on Generalized Proportional Integral Observer," Energies, MDPI, vol. 16(3), pages 1-16, January.
    4. Marcel Nicola & Claudiu-Ionel Nicola, 2022. "Improvement of Linear and Nonlinear Control for PMSM Using Computational Intelligence and Reinforcement Learning," Mathematics, MDPI, vol. 10(24), pages 1-34, December.
    5. Gabriel R. Broday & Gilney Damm & William Pasillas-Lépine & Luiz A. C. Lopes, 2021. "A Unified Controller for Multi-State Operation of the Bi-Directional Buck–Boost DC-DC Converter," Energies, MDPI, vol. 14(23), pages 1-21, November.

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