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Feedback Linearization and Sliding Mode Control for VIENNA Rectifier Based on Differential Geometry Theory

Author

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  • Xiang Lu
  • Yunxiang Xie
  • Li Chen

Abstract

Aiming at the nonlinear characteristics of VIENNA rectifier and using differential geometry theory, a dual closed-loop control strategy is proposed, that is, outer voltage loop using sliding mode control strategy and inner current loop using feedback linearization control strategy. On the basis of establishing the nonlinear mathematical model of VIENNA rectifier in d-q synchronous rotating coordinate system, an affine nonlinear model of VIENNA rectifier is established. The theory of feedback linearization is utilized to linearize the inner current loop so as to realize the d-q axis variable decoupling. The control law of outer voltage loop is deduced by utilizing sliding mode control and index reaching law. In order to verify the feasibility of the proposed control strategy, simulation model is built in simulation platform of Matlab/Simulink. Simulation results verify the validity of the proposed control strategy, and the controller has a strong robustness in the case of parameter variations or load disturbances.

Suggested Citation

  • Xiang Lu & Yunxiang Xie & Li Chen, 2015. "Feedback Linearization and Sliding Mode Control for VIENNA Rectifier Based on Differential Geometry Theory," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, March.
    • Handle: RePEc:hin:jnlmpe:573016
    DOI: 10.1155/2015/573016
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