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.

中文翻译：

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具有H∞性能的大规模卷筒纸系统的分散保证成本控制

在本文中，针对具有不确定和时变参数的大规模卷筒纸系统，提出了一种分散的保证成本_H∞控制策略。首先，将大型卷筒纸系统视为由若干个动态子系统组成的综合系统，采用区间矩阵处理参数的不确定性和设定值的变化。其次，开发了分散的保证成本控制（DGCC）来实现跟踪目标，并保证为控制系统定义的成本函数具有上限。此外，设计了一个最佳 DGCC (ODGCC) 以最小化上限。三_、 H∞DGCC 中加入了控制策略，以提高闭环系统对参数不确定性和外部干扰的鲁棒性。最后，在三电机卷筒纸卷绕系统上进行了一些仿真和实验，以验证所提出的控制方法的有效性。