• CN:11-2187/TH
  • ISSN:0577-6686

›› 2009, Vol. 45 ›› Issue (6): 160-170.

• 论文 • 上一篇    下一篇

基于测厚仪监控的厚控系统动态建模及其鲁棒H∞控制器设计

孙建亮;彭艳;刘宏民;丁开荣   

  1. 燕山大学亚稳材料制备技术与科学国家重点实验室;燕山大学轧制设备及成套技术教育部工程研究中心;中国重型机械设计研究院
  • 发布日期:2009-06-15

Dynamic Modeling of Gauge Control System Based on Thickness Gauge and Design of H∞ Robust Controller

SUN Jianliang;PENG Yan;LIU Hongmin;DING Kairong   

  1. State Key Laboratory of Metastable Materials Science and Technology, Yanshan University Engineering Research Center of Rolling Equipment and Complete Technology, Ministry of Education, Yanshan University China National Heavy Machinery Research Institute
  • Published:2009-06-15

摘要: 为得到高精度的轧机机电液系统整体动态模型,将先进的控制理论应用于传统的轧制领域和提高板带产品质量精度,建立四辊轧机厚度控制系统动态模型,包括轧制过程模型、机架-辊系动态模型和液压伺服系统模型,将三个模型耦合并线性化,得到四辊轧机厚控系统多输入多输出(Multiple input multiple output, MIMO)线性化传递函数模型。考虑最终板厚质量指标,简化MIMO系统,得到基于测厚仪监控的板厚控制系统模型。利用 混合灵敏度鲁棒控制理论,采用遗传算法优化选取加权函数,设计 鲁棒控制器。仿真研究结果及与常规比例积分微分(Proportional integral derivative,PID)控制效果的比较表明,所设计的控制器对于厚度控制系统的外界扰动和参数不确定性具有较好的抑制性能,提高了测厚仪监控厚度控制系统的动态性能和稳定性。

关键词: H∞混合灵敏度, 动态建模, 遗传算法, 轧制过程

Abstract: In order to build high accuracy integral dynamic models of rolling mill system, apply advanced control theory in the traditional rolling field and improve the quality and precision of strip, dynamic model of gauge control system of 4-h mill is built, including the rolling process model, the mill stand-rolls dynamic model and the hydraulic servo system model. The three models are coupled and linearized, then the multiple input multiple output (MIMO) linear transfer function model of 4-h mill system is obtained. Simplify the MIMO linear model, considering the quality of the product, the plate thickness control system based on thickness gauge monitoring is obtained. The H∞ robust controller is designed by using the H∞ mixed sensitivity robust control theory. The weight functions are selected based on genetic algorithm. Simulation results and comparison with the effect of proportional integral derivative (PID) control show that the H∞ robust controller designed has better disturbance attenuation performance for parameter uncertainty and external disturbance. The dynamic performances and stability of the thickness control system are improved significantly.

Key words: Dynamic modeling, Genetic algorithm, H∞ mixed sensitivity, Rolling process

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