Mathematical modeling and simulations for machine directional register in hybrid roll-to-roll printing systems

Roll-to-roll (R2R) solution printing method has been attracting as a promising technology for a mass production of flexible functionalities, such as radio-frequency identification (RFID), photovoltaic, flexible batteries, etc. High resolution of register control is mandatory to prevent electrical leakages, and short circuitries in the multilayered flexible printed circuitries through R2R mass production. In this paper, a mathematical modeling of the register was derived for the hybrid printing systems, which consisted of contact printing and non-contact printing such as gravure and inkjet printing. Parameter sensitivity analysis was carried out in various operation conditions. And linear quadratic (LQ) regulator was proposed to control both the tension and register. The performance of the LQ regulation of the register was trade-off considering the permitted variation of tension and resolution of register. The proposed mathematical model will be used for the development of hybrid register controller.

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