Abstract With the increasing demands on strip product quality, conventional control methods cannot break the cold rolling production bottleneck The development of advanced control algorithms provides theoretical support for the improvement of strip accuracy and product stability of the tandem cold rolling process. Considering the complex characteristics of the system, a distributed model predictive control (DMPC) strategy based on the Nash equilibrium is proposed in this study. A state space model including the rolling process with constraints is established. To improve the calculation speed, a Laguerre function is integrated in the control strategy, so as to reduce the parameter dimension. The DMPC online optimal control strategy based on the Nash equilibrium is proposed to solve the problem between the constrained multivariable complex system and online rolling optimization. Its performance and effectiveness are demonstrated through a series of experiments based on rolling data from industry.

中文翻译：

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基于纳什平衡的冷连轧系统厚度和张力控制分布式预测控制策略

摘要 随着对带钢产品质量要求的不断提高，常规控制方法无法突破冷轧生产瓶颈，先进控制算法的发展为连轧冷轧过程带钢精度和产品稳定性的提高提供了理论支持。考虑到系统的复杂特性，本研究提出了一种基于纳什均衡的分布式模型预测控制（DMPC）策略。建立了包含带约束轧制过程的状态空间模型。为了提高计算速度，在控制策略中加入了拉盖尔函数，以减少参数维数。针对约束多变量复杂系统与在线滚动优化之间的问题，提出了基于纳什均衡的DMPC在线优化控制策略。通过基于行业滚动数据的一系列实验证明了其性能和有效性。