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Bi-directional impulse chaos control in crystal growth.

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Chaos in silicon crystal pullers harms crystal quality. A new bi-directional impulse control method effectively suppresses this chaotic swing without altering average rotation speed, ensuring better crystal production.

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Area of Science:

  • Materials Science
  • Control Engineering
  • Applied Physics

Background:

  • Defect-free mono-silicon crystals are critical for the integrated circuit industry.
  • Chaotic swing in the flexible shaft rotating-lifting (FSRL) system of mono-silicon crystal pullers degrades crystal quality.
  • Existing control methods face challenges due to limited measurable state variables and a single manipulable parameter (rotation speed).

Purpose of the Study:

  • To address the challenge of chaos suppression in the FSRL system under specific constraints.
  • To develop a control method that minimizes impact on the physical crystallization process.
  • To enhance the quality of mono-silicon crystals produced by the FSRL system.

Main Methods:

  • Derivation of the analytical periodic solution for the FSRL system's swing using perturbation analysis.
  • Proposal of a bi-directional impulse control strategy for chaos suppression.
  • Simulation-based validation of the control method's effectiveness and robustness to parameter uncertainties.

Main Results:

  • An analytical periodic solution for the chaotic swing was successfully derived.
  • The proposed bi-directional impulse control method effectively suppresses chaos in the FSRL system.
  • The bi-directional control method preserves the average rotation speed, unlike single-direction methods.

Conclusions:

  • The bi-directional impulse control is an effective and robust method for suppressing chaos in the FSRL system.
  • This method offers an optimal approach for controlling silicon crystal growth by minimizing process interference.
  • The findings contribute to improving the quality and yield of defect-free mono-silicon crystals.