Quantitative Feedback Theory (QFT) control theory was used to design a control loop in order to provide stability and tracking ability for a ball floating in a jet stream of air. Due to nonlinearity of the system governing equations, a set of linear transfer functions was derived to capture the dynamics of the system. Using this set, a controller and a prefilter were designed that met the stability and tracking performances. The feedback loop was also implemented in an experimental setup consisting of a DC motor, an axial fan, an expansion tank, and a nozzle. The experimental data showed some differences with the simulation results, but the closed-loop system response was satisfactory and the design criteria were met.
Position Control of a Floating Ball in a Vertical Air Stream
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Nudehi, SS, Dehmlow, S, & Clark, D. "Position Control of a Floating Ball in a Vertical Air Stream." Proceedings of the ASME 2017 International Mechanical Engineering Congress and Exposition. Volume 4A: Dynamics, Vibration, and Control. Tampa, Florida, USA. November 3–9, 2017. V04AT05A002. ASME. https://doi.org/10.1115/IMECE2017-70752
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