锻压技术

基于改进分数阶PID的活套高度控制

英文标题：

作者：周建新侯宏瑶郑日成

分类号：TP18;TP273

出版年,卷(期):页码：2024,49(2):136-145

摘要：

为解决板带热连轧过程中活套高度控制问题，提出了一种加入淘汰机制的麻雀搜索算法（SSA）与分段式ITAE性能指标的自适应参数整定方法。该方法引入了2N分段Tent混沌映射与末位淘汰机制来加强SSA的全局搜索能力与局部收敛精度，并通过计算误差变化速率将传统ITAE性能指标改进为一种自适应函数以符合分数阶PID在不同阶段的要求。将该方法与其他整定方法进行对比并应用在活套高度控制的仿真试验，对系统响应曲线及上升时间、调节时间、超调量和稳定误差等性能指标进行分析，证明了改进的控制方法可使被控对象获得良好的动态特性。

In order to solve the looper height control problem in the hot strip rolling process, a sparrow search algorithm （SSA） with an elimination mechanism and an adaptive parameter tuning method of integral time absolute error (ITAE) performance index were proposed, which introduced 2N segment Tent chaotic mapping and last elimination mechanism to enhance the global search capability and local convergence accuracy of SSA, and the traditional ITAE performance indexes were improved by calculating the error change rate into an adaptive function to comply with the requirements of fractional order PID in different stages. The method was compared with other tuning methods and applied on the simulation test of looper height control. The system response curve and other performance indexes such as rise time, adjustment time, overshoot and stability error were analyzed, proving that the improved control method could make the controlled objects obtain good dynamic characteristics.

基金项目：

河北省自然科学基金资助项目（F2018209201）

周建新（1977-），男，博士，副教授

参考文献：

［1］杨平,陈志军.针对热轧带钢头部拉窄的活套控制系统改进
［J］.中国冶金,2018,28(12):36-40.

Yang P, Chen Z J. Improvement of looper control system for hot rolled strip head narrowing
［J］.China Metallurgy,2018,28(12):36-40.

［2］王雨刚.梅钢1780热轧活套控制改进
［J］.冶金自动化,2019,43(4):61-65.

Wang Y G. Improvement of looper control in 1780 hot strip mill of Baosteel Meishan
［J］. Metallurgical Industry Automation, 2019, 43(4):61-65.

［3］王娜,王海深.迁钢1580热轧活套起套控制优化和应用研究
［J］.自动化与仪器仪表,2019,(4):201-203.

Wang N, Wang H S. Control optimization and application research of hot rolled live bushing in qianggang 1580
［J］. Automation & Instrumentation, 2019,(4):201-203.

［4］费佳,李少远.ILQ理论在宝钢1580热轧活套控制中的应用
［A］.中国自动化学会过程控制专业委员会.第25届中国过程控制会议论文集
［C］.大连,2014.

Fei J, Li S Y. Application of ILQ theory to looper control in BAOSTEEL 1580 hot rolling mill
［A］.Process Control Committee of Chinese Society of Automation.Proceedings of the 25th China Process Control Conference
［C］.Dalian,2014.

［5］李伯群,张克君,傅剑,等.活套高度和张力系统的神经网络自适应解耦控制
［J］.控制与决策,2006,(1):46-50.

Li B Q, Zhang K J, Fu J,et al. Adaptive neural network decoupling control for the Loopers′ height and tension system
［J］. Control and Decision, 2006, 21(1):46-50.

［6］童朝南,武延坤,刘磊明,等.液压活套多变量系统的建模及积分变结构控制
［J］.自动化学报,2008,34(10):1305-1311.

Tong C N, Wu Y K, Liu L M,et al. Modeling and integral variable structure control of hydraulic looper multivariable system
［J］. Acta Automatica Sinica, 2008, 34(10):1305-1311.

［7］陈炎敏. 宝钢2050热轧活套控制模型研究及改进
［D］.上海:上海交通大学,2011.

Chen Y M. The Research and Improvement of Baosteel 2050 Hot Strip Mill Looper Contorl Model
［D］. Shanghai:Shanghai Jiao Tong University, 2011.

［8］林刚,许劼.武钢三热轧1580 mm热连轧机活套控制系统研究及应用
［J］.冶金自动化,2009,33(4):30-34.

Lin G, Xu J. Research and application on looper control system of 1580 mm hot strip mill in the 3rd hot rolling plant of WISCO
［J］. Metallurgical Industry Automation, 2009, 33(4):30-34.

［9］Podlubny I. Fractional Differential Equations
［M］.SanDiego:Academic Press,1999.

［10］薛定宇,赵春娜.分数阶系统的分数阶PID控制器设计
［J］.控制理论与应用,2007,(5):771-776.

Xue D Y, Zhao C N. Fractional order PID controller design for fractional order system
［J］.Control Theory & Applications, 2007, 24(5):771-776.

［11］黄丽莲,周晓亮,项建弘.分数阶PID控制器参数的自适应设计
［J］.系统工程与电子技术,2013,35(5):1064-1069.

Huang L L, Zhou X L, Xiang J H. Selfadjusting design on parameters of the fractional order PID controller
［J］. Systems Engineering and Electronics, 2013, 35(5):1064-1069.

［12］陈超波,胡海涛,高嵩.人工蜂群的分数阶PID控制器参数自适应研究
［J］.控制工程,2020,27(6):956-961.

Chen C B, Hu H T, Gao S. Parameters adaptive design of fractional order PID controller based on artificial bee colony algorithm
［J］. Control Engineering of China, 2020, 27(6):956-961.

［13］朱敏,臧昭宇,赵聪聪.基于粒子群优化分数阶PID的阀门开度控制
［J］.制造业自动化,2022,44(10):104-108.

Zhu M, Zang Z Y, Zhao C C. Valve opening control based on particle swarm optimization fractionalorder PID
［J］. Manufacturing Automation, 2022, 44(10):104-108.

［14］Xue J K, Shen B. A novel swarm intelligence optimization approach: Sparrow search algorithm
［J］. Systems Science & Control Engineering, 2020, 8(1):22-34.

［15］段玉先,刘昌云.基于Sobol序列和纵横交叉策略的麻雀搜索算法
［J］.计算机应用,2022,42(1):36-43.

Duan Y X, Liu C Y. Sparrow search algorithm based on Sobol sequence and crisscross strategy
［J］.Journal of Computer Applications, 2022, 42(1):36-43.

［16］李爱莲,全凌翔,崔桂梅,等.融合正余弦和柯西变异的麻雀搜索算法
［J］.计算机工程与应用,2022,58(3):91-99.

Li A L，Quan L X，Cui G M，et al.Sparrow search algorithm combining SineCosine and cauchy mutation
［J］.Computer Engineering and Applications,2022,58(3):91-99.

［17］吕鑫,慕晓冬,张钧,等.混沌麻雀搜索优化算法
［J］.北京航空航天大学学报,2021,47(8):1712-1720.

Lyu X, Mu X D, Zhang J,et al. Chaos sparrow search optimization algorithm
［J］. Journal of Beijing University of Aeronautics and Astronautics,2021,47(8):1712-1720.

［18］Xue D Y,Chen Y Q.A comparative introduction of four fractional order controllers
［A］. IEEE.Proceedings of the 4th World Congress on Intelligent Control and Automation
［C］.Shanghai,2002.

［19］Oustaloup A, Levron F, Mathieu B, et al. Frequencyband complex noninteger differentiator:Characterization and synthesis
［J］.IEEE Transactions on Circuits and Systems I Regular Papers, 2000, 47(1): 25-39.

［20］李大字,刘展,靳其兵,等.分数阶控制器参数整定策略研究
［J］.系统仿真学报,2007,(19):4402-4406.

Li D Z, Liu Z,Jin Q B,et al. Study on optimization of fractionalorder controller PID parameters
［J］. Journal of System Simulation, 2007, 19(19):4402-4406.

［21］Fukushima K,Tsuji Y,Ueno S,et al.Looper optimal multiv ariable control for hot strip finishing mill
［J］.Transon ISIJ,1988,28(2):463-469.

［22］李旭,张殿华,何立平,等.基于模糊自适应整定PID的活套高度控制系统
［J］.控制与决策,2006,(1):97-99.

Li X, Zhang D H, He L P,et al. Looper′s height control system based on fuzzy selfadaptive PID control
［J］. Control and Decision, 2006,(1):97-99.

服务与反馈：

【文章下载】【加入收藏】