Chaos control in crystal growth process

Zi-Xuan Zhou, Celso Grebogi, Hai-Peng Ren* (Corresponding Author)

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Chaos is reported in the crystal growth process as a irregular swing phenomenon in the flexible shaft rotating-lifting (FSRL) system. Chaos might,
however, lead to the failure of mono-silicon crystal production. Therefore, it should be suppressed. Many chaos control methods have been proposed theoretically and some of them have been used in applications. For a practical plant displaying harmful chaos, engineers from a specified area usually face with the challenge to identifying chaos and to suppress it using a proper method. However, despite of the existing methods, chaos control method for the FSRL system is not a trivial task. For example, for the famous chaos control method proposed by Ott-Grebogi-Yorke (OGY method), if one cannot find a practical adjustable parameter, then the OGY method cannot be applied. An impulsive control method is being proposed to suppress chaos in the FSRL system. The merits of the method lie in, first, it manipulates the rotation speed of the motor, which is a only accessible manipulated variable; second, it does not need the state feedback, which is unavailable in the system; third, it is robust to the bounded system parameter uncertainty due to the property of the plant. The control parameters selection guide is obtained by using the Melnikov method. Simulation results validate the correctness of our theoretical analysis and the effectiveness of the proposed chaos control method.
Original languageEnglish
JournalJournal of Crystal Growth
Publication statusAccepted/In press - 29 Dec 2020

Keywords

  • Chaos control
  • Impulse control
  • Flexible shaft rotating-lifting

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