Dynamic modeling and control of a bending combined roller system using Timoshenko beam theory and constrained model predictive control

摘要

The roller system is an essential and very important part of a lot of fabric processing machines in the textile industry. Thisnstudy proposes a new bending roller control system (BRCS) to control bending deformation and vibration of the rollernsystem. First, a new mathematical model of a combined roller is obtained by using an eigenfunction expansion methodnand Timoshenko beam theory. The combined roller consists of inner steel and outer nylon layers to take full advantagenand eliminate drawbacks of materials. Second, a hydraulic multi-cylinder system is put inside the roller at the suitablenposition. This solution not only increases significantly the power of the bending actuation system but also reduces thentransient time of dynamic response and avoids damaging outside surfaces of the rollers. Finally, in order to improvendynamic response performance and open wide operating range of system, model predictive control (MPC) and constrainedncontrol are applied to the BRCS. Simulation results proved that the proposed control system is completelyneffective and reliable.