放卷张力系统H<sub>∞</sub>鲁棒控制器的设计

李健 1; 3; 梅雪松 1; 2; 陶涛 1; 刘志会 1

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放卷张力系统H_∞鲁棒控制器的设计

更新时间：2025-07-09

- 放卷张力系统H_∞鲁棒控制器的设计
- H_∞ Robust Control Design for Unwinding Tension System
- 西安交通大学学报 2012年46卷第1期页码：86-90+102
- 作者机构：
  
  1. 西安交通大学机械工程学院,西安,710049
  2. 河南科技大学机电学院,河南,洛阳,471003
- 作者简介：
- 基金信息：
  
  : 2011-04-07. 作者简介: 李健(1972-),男,博士生;梅雪松(通信作者),男,教授,博士生导师. 基金项目: 国家自然科学基金资助项目(51075321);国家高档数控机床重大专项资助项目(2010ZX04001-021)
- DOI：
  中图分类号： TP273
- 网络首发：2012-01-10，
  
  纸质出版：2012
- 稿件说明：
移动端阅览
李健 1, 3, 梅雪松 1, 等. 放卷张力系统H_∞鲁棒控制器的设计[J]. 西安交通大学学报, 2012,46(1):86-90+102.

H_∞ Robust Control Design for Unwinding Tension System[J]. 2012, 46(1): 86-90+102.
李健 1, 3, 梅雪松 1, 等. 放卷张力系统H_∞鲁棒控制器的设计[J]. 西安交通大学学报, 2012,46(1):86-90+102. DOI：

H_∞ Robust Control Design for Unwinding Tension System[J]. 2012, 46(1): 86-90+102. DOI：

摘要

针对印刷机放卷系统对张力控制稳定性的要求

利用线性矩阵不等式(LMI)方法对放卷张力系统H

∞

鲁棒控制进行了分析研究和仿真验证.根据放卷系统的工作机理

建立了放卷张力系统的非线性数学模型

通过对系统不确定时变参数的分析

进一步对系统进行了线性化改造.在建立的放卷张力系统模型基础上

利用LMI方法进行了H

∞

鲁棒控制器的设计

并对控制器的抗干扰性能进行了仿真验证.仿真结果表明

利用LMI方法可以较容易地实现放卷张力系统的鲁棒控制.由于LMI控制器的设计具有不需要权函数和自动优化控制器参数

以及通过极点配置能够满足性能要求等特点

因此在参数时变和外部扰动情况下

可以保证放卷张力系统的渐进稳定性

并且可使系统性能得到优化.

Abstract

An H

∞

controller based on linear matrix inequality(LMI)method is presented to strengthen the stability of the tension in unwinding section of printing press

and the controller is analyzed and verified by the simulation. A nonlinear model is established according to the unwinding system working principle

and a linear model is constructed by analyzing the uncertain and time-varying parameters. Then an H

∞

controller is designed following the linear model with LMI. The robust disturbance rejection performance of the H

∞

controller is verified by the simulation

and the results show that the unwinding tension system can be controlled easily with LMI robust control concepts. LMI-based controller is endowed with advantages of requiring no weighting functions

optimizing the parameters of controller automatically and meeting transient req

uirements with pole placement constraints

and ensures the unwinding tension system to get asymptotically stable and the performance can be optimized according to the time-varying parameters and external disturbances.

关键词

Keywords

references

JEON S H, KIM J M, JUNG K C, et al. Decoupling control of bridle rolls for steel mill drive system [J]. IEEE Trans action on Industry Applications, 1999, 35(1):119-125.

SONG S H, SUL S K. A new tension control for continuous strip processing line [J]. IEEE Trans action on Industry Applications, 2000,36(2):633-638.

WOLFERMANN W. Tension control of webs-A review of the problems and solutions in the present and future [C]∥Proceedings of the Third International Conference on Web Handling. Stillwater, USA: Wed Handling Research Center, 1995: 198-229.

OKADA K, SAKAMOTO T. An adaptive fuzzy control for web tension control system [C]∥ Proceedings of the 24th Annual Conference of the IEEE. Aachen, Germany: IEEE Industrial Electronics Society, 1998(3):1762-1767.

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KOC H K, KNITTEL D, MATHELIN M, et al. Modeling and robust control of winding systems for elastic webs [J]. IEEE Transaction on Control System Technology, 2002, 10(2):197-208.

KNITTEL D, LAROCHE E, GIGAN D, et al. Tension control for winding systems with two-degrees-of-freedom H∞ controllers [J]. IEEE Transaction on Industry Applications, 2003,39(1): 113-120.

DOU X J, WANG W. Robust control of multistage printing systems [J]. Control Engineering Practice, 2010, 18(3): 219-229.

俞立.鲁棒控制-线性矩阵不等式处理方法 [M]. 北京:清华大学出版社,2002:41-67.

SHIN K H. Tension control [M]. Atlanta,USA:TAPPI Press, 2000:13-18.

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放卷张力系统H∞鲁棒控制器的设计

H∞ Robust Control Design for Unwinding Tension System

DOI：

摘要

Abstract

关键词

Keywords

references

放卷张力系统H_∞鲁棒控制器的设计

H_∞ Robust Control Design for Unwinding Tension System