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Model based, nonlinear control of near-field acoustically levitated objects

机译:基于模型,非线性控制近场声学悬浮物体

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摘要

The near-field acoustic levitation phenomenon uses ultrasonic vibrations of a driving surface, to elevate the average pressure in the thin gas layer trapped between this surface, and a freely suspended planar object. This is done, exploiting the compressibility and the viscosity of the entrapped gas. Due to the pressure elevation, the planar object can be manipulated vertically between dozens and hundreds of microns, without any mechanical contact. This paper introduces a novel, simplified model, describing the governing, slow dynamics of near-field acoustically levitated objects. This model replaces the commonly used Reynolds equation based model, with a second order, ordinary differential equation, where the stiffness and damping terms are given explicitly. Due to the simplicity of the model presented here, it sets a convenient foundation for model based control algorithms. Indeed, based on this model, a continuous gain scheduling controller is designed and implemented experimentally, showing good performance.
机译:近场声悬浮现象使用驱动表面的超声波振动,提升捕获在该表面之间的薄气体层中的平均压力,以及自由悬挂的平面物体。这是完成的,利用夹带气体的压缩性和粘度。由于压力升高,平面物体可以垂直操纵在数十个和数百微米之间,而没有任何机械接触。本文介绍了一种新颖,简化的模型,描述了近场声学悬浮对象的控制,缓慢动态。该模型替换了常用的雷诺等式基于模型,具有二阶常微分方程,其中刚度和阻尼术语是明确给出的。由于此处提供的模型的简单性,它为基于模型的控制算法设置了一个方便的基础。实际上,基于该模型,实验设计和实现了连续增益调度控制器,显示出良好的性能。

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