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Control of the Vertical Gradient Freeze crystal growth process via backstepping

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This contribution presents a backstepping-based state feedback design for the tracking control of a two-phase Stefan problem which is encountered in the Vertical Gradient Freeze crystal growth process. A two-phase… Click to show full abstract

This contribution presents a backstepping-based state feedback design for the tracking control of a two-phase Stefan problem which is encountered in the Vertical Gradient Freeze crystal growth process. A two-phase Stefan problem consists of two coupled free boundary problems and is a vital part of many crystal growth processes due to the time-varying extent of crystal and melt during growth. In addition, a different approach for the numerical approximation of the backstepping transformations kernel is presented.

Keywords: crystal growth; growth; gradient freeze; growth process; vertical gradient; freeze crystal

Journal Title: IFAC-PapersOnLine
Year Published: 2020

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