A reduced-order observer based LQR control method for Roll-to-Roll systems

Abstract

Roll-to-Roll (R2R) manufacturing is a flexible material manufacturing process with a high degree of automation and a low degree of cost. But the complex characteristics make the high-precision register control a critical challenge. In this paper, a reduced-order observer is designed to estimate the tension fluctuation value, and the estimated value is used to calculate the optimal control quantity through a linear quadratic regulator (LQR). Combined with the decoupling algorithm, a high-precision reduced-order observer based LQR control (LQRC) is achieved. Simulations and comparisons confirm that the register control method has improved the control accuracy and adjustment time. Compared with the published FDPD, the control accuracy of LQRC is improved by at least 47%, and the adjustment time is reduced by at least 55%. The LQRC method has smoother control signal and consumes less energy compared with the FDPD control method. The results indicate that LQRC method has good robustness and advantages in practical application of industry.