Abstract
In this paper, we investigated a pyramidal hopper with extended discharge at the exit to make a bag of particles to a designated weight. Any feedback control strategy cannot be applied because the exit gate does not have any encoders to check its size, the gate size cannot be adjusted precisely during the closing motion, and the speed of the closing gate is relatively slow compared to the discharge rate of the particles. By only processing the weighing scale measurement in real time, we need to find the best point of time to start the exit gate closure of the pyramidal hopper to fill precise amount of particles into the bag. We developed and compared two control methods to determine appropriate point to initiate gate closure. First, we developed a control method by applying an empirical model describing the correlation between the gate size and the particle discharge rate, which is established by thorough experiments. Second, we developed a control method using curve fitting to predict the discharge rate of particles during gate closing motion without experiment. Both control methods were demonstrated using real time experiments, and the first one with an empirical model showed better result for final weight. This method can be directly applied to weight control of bag filling hopper without modifying the hardware system.
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This work was supported by the National Research Foundation (NRF) of Korea grant funded by the Korea government (MSIT) (No. 2019R1F1A1057282). This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(No. 2019R1I1A3A01061919).
Jaehyun Kim received his Ph.D. degree in 2015 from the University of Texas at Austin in USA. He is currently a Professor at Hongik University in Korea. His research interests include nanoparticles, particle flow, and thermal energy systems.
Jonghoek Kim is a Professor in the Department of Electrical and Computer Engineering at Hongik University, Korea. His research is on target tracking, control theory, robotics, multi-agent systems, and optimal estimation. He worked as a senior researcher at Agency for Defense Development in Korea from 2011 to 2018. In 2011, he earned a Ph.D. degree co-advised by Dr. Fumin Zhang and Dr. Magnus Egerstedt at Georgia Institute of Technology, USA. He received his M.S. degree in electrical and computer engineering from Georgia Institute of Technology in 2008 and his B.S. degree in electrical and computer engineering from Yonsei University, Korea in 2006.
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Kim, J., Kim, J. Particle Discharge Rate Analysis and Control Laws of the Exit Gate for Pyramidal Hoppers. Int. J. Control Autom. Syst. 19, 2529–2535 (2021). https://doi.org/10.1007/s12555-019-0816-8
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DOI: https://doi.org/10.1007/s12555-019-0816-8