Decentralized guaranteed cost control with H∞ performance for large‐scale web‐winding system. Issue 1 (18th October 2020)

• Record Type: Journal Article
• Authors: Hou, Hailiang; Nian, Xiaohong; Xu, Shaozhang
• Is Part Of: Asian journal of control. Volume 24:Issue 1(2022)
• Page Start: 459
• Page End: 473
• Publication Date: 2020-10-18
• Subjects: decentralized guaranteed cost control (DGCC) -- decentralized guaranteed cost H∞ (DGC H∞) control -- linear matrix inequality (LMI) -- robustness -- web‐winding system; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2442
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: In this paper, a decentralized guaranteed cost H ∞ control strategy is proposed for large‐scale web‐winding systems with uncertain and time‐varying parameters. First, the large‐scale web‐winding system is viewed as a synthetic system composed of several dynamic subsystems, and interval matrix is used to deal with parameter uncertainties and the changes of set point. Second, a decentralized guaranteed cost control (DGCC) is developed to achieve the track goal, and guarantees that a cost function defined for the control system has an upper bound. Furthermore, an optimal DGCC (ODGCC) is designed to minimize the upper bound. Third, H ∞ control strategy is incorporated in the DGCC to increase closed‐loop system robustness to parameter uncertainties and external disturbances. Finally, some simulation and experiments are performed on a three‐motor web‐winding system to verify the effectiveness of the presented control methods.