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Motor Model-based Optimal Robust Guaranteed Cost Control for Two-motor Web-winding System

Hongyun Xiong, Yipeng Lv, Bin Cheng, Xiaohong Nian*, and Xiaoyan Chu
International Journal of Control, Automation, and Systems, vol. 20, no. 11, pp.3808-3821, 2022

Abstract : In this paper, a novel comprehensive model for the two-motor web-winding system is proposed, which combines the classical web-winding system model with the driven-motor model. Based on the proposed model, the state feedback robust control (SFRC) strategy is designed to handle systematic uncertainty and time-varying parameters. And then in order to reduce the control cost of the web-winding system, an optimal robust guaranteed cost control (ORGCC) approach is studied. First, the reference control inputs and error dynamic model are derived based on the proposed comprehensive model. Then, the SFRC strategy and ORGCC approach are designed to calculate control compensation. By regarding some suitable parameters as interval variables, the proposed controllers have good robustness for parameter variations and environmental disturbance. Finally, the simulation results illustrate the effectiveness of the proposed model and control.

Keyword : Asymptotic stabilization, interval matrix, linear matrix inequality (LMI), optimal robust guaranteed cost control, state feedback robust control, web-winding system.

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