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Optimal Sliding Mode Preview Repetitive Control for Three-Phase Z-Source Inverters

Author

Listed:
  • Jian-De Yan
  • Fan Peng
  • Wei-Cai Xie
  • Guisheng Zhai

Abstract

Aiming at high output voltage and obvious current fluctuation of the off grids inverters with unbalanced and nonlinear loads, a compound control strategy of sliding mode controller and optimal preview controller based on Z-source inverter (ZSI) is proposed. ZSI can boost the pressure and improve the system energy conversion rate through by combining the state with the linear quadratic design method of optimal control. The preview controller is introduced in the feedforward compensation link. With the help of difference operator, an extended state error system covering the target value signal and lag link feedback is designed. The optimal preview repetitive control (PRC) is transformed into a linear quadratic regulation matter of the discrete systems. Furthermore, a preview repetitive controller is obtained by using the Lyapunov method, linear matrix inequality, and the design method of optimal controller, which can realize sliding mode control, state feedback, repetitive control, and preview compensation. Finally, a 10 kV A prototype is built to verify the effectiveness of the proposed strategy.

Suggested Citation

  • Jian-De Yan & Fan Peng & Wei-Cai Xie & Guisheng Zhai, 2022. "Optimal Sliding Mode Preview Repetitive Control for Three-Phase Z-Source Inverters," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-12, September.
  • Handle: RePEc:hin:jnlmpe:9660028
    DOI: 10.1155/2022/9660028
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