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

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  • Intelligent Control and Applications
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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.

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Authors and Affiliations

  1. School of Automation, Central South University, Changsha, 410075, China

    Hongyun Xiong, Yipeng Lv, Bin Cheng & Xiaohong Nian

  2. School of Information Science and Technology, Southwest Jiaotong University, Chengdu, 611756, China

    Xiaoyan Chu

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Correspondence to Xiaohong Nian.

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This work is supported in part by the National Natural Science Foundation of China under Grant 62173347.

Hongyun Xiong received his M.S. and Ph.D. degrees in mechanical engineering from Xian University of Technology in 1989 and Xian Jiaotong University in 1998, respectively. Currently, he is an associate professor with Central South University, Changsha, China. His main research interests include the modeling, identification, and control of electronic mechanical systems.

Yipeng Lv received his B.S. degree from Central South University in 2020. He is currently working toward an M.S. degree in the School of Automation, Central South University, Changsha, China. His research interests include robust nonlinear control, guaranteed cost control, and data-driven.

Bin Cheng received his B.S. degree from University of South China in 2018. He is currently working toward an M.S. degree in the School of Automation, Central South University, Changsha, China. His research interests include robust nonlinear control and guaranteed cost control.

Xiaohong Nian received his B.S., M.S., and Ph.D. degrees from Northwest Normal University in 1985, Shandong University in 1992, and Peking University in 2004, respectively. Currently, he is a professor with Central South University, Changsha, China. His research interests include control for multi-agent systems and multimotor system.

Xiaoyan Chu received her B.S., M.S., and Ph.D. degrees from Henan Institute of Technology in 2012, Chongqing Jiaotong University in 2015, and Central South University in 2019, respectively. Currently, she is an Assistant Research Fellow with Southwest Jiaotong University, Chengdu, China. Her main research interests include decentralized control, fault diagnosis, and fault tolerant control for multi-motor systems.

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Xiong, H., Lv, Y., Cheng, B. et al. Motor Model-based Optimal Robust Guaranteed Cost Control for Two-motor Web-winding System. Int. J. Control Autom. Syst. 20, 3808–3821 (2022). https://doi.org/10.1007/s12555-021-0293-8

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