Roll system is an essential and very important part of a lot of processing machines in textile industry such as processing calender and dye machines. Deflection and vibration, normally occurring in the processing-roll system, have always been large drawbacks of many industrial processes, especially, related to textile industry. Hence, this study introduced a new dynamic control system, including a bending actuator and a proposed controller to suppress vibration, compensate deflection. First, a new mathematic model of a combined-roll is obtained by using eigenfunction expansion method and Timoshenko beam theory. The combined-roll consists of inner steel and outer nylon layers to take full advantages and eliminate drawbacks of materials. Second, the multi-cylinder and oil-roll actuators were introduced for suppressing vibration and deflection. These solutions not only increase significant power of bending actuation system but also reduce transient time of dynamic response and avoid damaging outside surfaces of the rolls. Next, Discrete Model Predictive Controller (DMPC) was designed based on the obtained mathematical model to improve dynamic response performance. The constrained control was also combined with the proposed DMPC controller to obtain optimal control signal and use effective power of actuator system by opening wider operation range of system. Finally, in order to derive high output response performance and robust stability in the control system, the Laguerre function, one of discrete orthonormal function, and the prescribed degree stability were applied to the DMPC. The research results have shown that the response performance is completely higher and the control system is more stable.

Roll system is an essential and very important part of a lot of processing machines in textile industry such as processing calender and dye machines. Deflection and vibration, normally occurring in the processing-roll system, have always been large drawbacks of many industrial processes, especially, related to textile industry. Hence, this study introduced a new dynamic control system, including a bending actuator and a proposed controller to suppress vibration, compensate deflection. First, a new mathematic model of a combined-roll is obtained by using eigenfunction expansion method and Timoshenko beam theory. The combined-roll consists of inner steel and outer nylon layers to take full advantages and eliminate drawbacks of materials. Second, the multi-cylinder and oil-roll actuators were introduced for suppressing vibration and deflection. These solutions not only increase significant power of bending actuation system but also reduce transient time of dynamic response and avoid damaging outside surfaces of the rolls. Next, Discrete Model Predictive Controller (DMPC) was designed based on the obtained mathematical model to improve dynamic response performance. The constrained control was also combined with the proposed DMPC controller to obtain optimal control signal and use effective power of actuator system by opening wider operation range of system. Finally, in order to derive high output response performance and robust stability in the control system, the Laguerre function, one of discrete orthonormal function, and the prescribed degree stability were applied to the DMPC. The research results have shown that the response performance is completely higher and the control system is more stable.

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