A Frequ Adaptiv ency Response Based e Control for Center- Driven Web Winders

A frequency response based adaptive control scheme with robust frequency domain specifications for industrial center-driven web winders is presented in this paper. The adaptive control scheme consists of: 1) a self-tuning initialization, 2) an adaptive control, with robust specifications, based on the transfer function estimation from the frequency response, and 3) supervisory monitoring and controls. In the paper, the modeling of the plant is first investigated and then the adaptive scheme is described. The simulation results are provided with the discussions of implementation issues. Notation J per-normal instantaneous total inertia reflected to motor, [sec] ωCO desired tension loop crossover frequency, [rad/sec] ζ desired tension loop damping factor D roll diameter [m] Nb motor base speed [rpm] E web’s Young's modulus of elasticity [N/cm^2] C web’s damping modulus [N sec/cm^2] A web cross-sectional area [cm^2] L strip length between bridles [m] GR gear ratio [Gout / Gin ] P motor power [kW] V1 line speed [m/sec] per normal torque generated by the motor loss per normal torque loss in the drive train system (Motor, gearbox and roller), it is simplified as a linear function in this study, loss (ω) = B1ω K1 gain factor from per normal to engineering unit [m/sec] roll speed K2 gain factor from engineering unit [N] to per normal web tension,