多阶段间歇过程无穷时域优化线性二次容错控制

doi:10.11949/j.issn.0438-1157.20181366

化工学报 ›› 2019, Vol. 70 ›› Issue (2): 541-547.DOI: 10.11949/j.issn.0438-1157.20181366

多阶段间歇过程无穷时域优化线性二次容错控制

王立敏¹(),卢丽彬¹,高福荣²,周东华³

1. 海南师范大学数学与统计学院，海南海口 571158
2. 香港科技大学化学与生物分子工程系，中国香港
3. 山东科技大学电气与自动化工程学院，山东青岛 266590

收稿日期:2018-11-07 修回日期:2018-11-23 出版日期:2019-02-05 发布日期:2019-02-05
通讯作者: 王立敏
作者简介:王立敏（1976—），女，博士，副教授，<email>wanglimin0817@163.com</email>
基金资助:
国家自然科学基金项目(61773190)

Infinite horizon linear quadratic hybrid fault-tolerant control for multi-phase batch process

Limin WANG¹(),Libin LU¹,Furong GAO²,Donghua ZHOU³

1. School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, Hainan, China
2. Department of Chemical and Biomolecular Engineering, Hong Kong University of Science and Technology, Hong Kong, China
3. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, Shandong, China

Received:2018-11-07 Revised:2018-11-23 Online:2019-02-05 Published:2019-02-05
Contact: Limin WANG

摘要/Abstract

摘要：

针对具有输入时滞的多阶段间歇过程，考虑执行器故障影响，提出了无穷时域优化混杂容错控制器设计方法。该方法首先将给定具有输入时滞的模型转化为新的无时滞的状态空间模型，接着再将此模型转换为包含状态变量误差和输出跟踪误差的扩展状态空间模型，并用切换系统模型表示，然后引入有限时域的二次目标函数，利用最优控制理论，设计出在无穷时域中容错控制器。为获得最小运行时间，针对不同阶段设计依赖于Lyapunov函数的驻留时间方法。创新之处在于，控制律设计简单，计算量小，且每一阶段时间求取不需要引用任何其他变量，简单易行。最后，以注塑成型过程为例，仿真结果证明所提出方法具有可行性和有效性。

关键词: 间歇过程, 切换系统, 过程控制, 控制, 系统工程, 执行器故障

Abstract:

A hybrid fault-tolerant controller with infinitely adjustable time-domain parameters is designed to ensure fault-tolerant control performance. Firstly a multi-phase state space model by acquiring input and output data is established, and further the state space model is into transformed an extended state space model containing state variables and output tracking errors, and the switched system model is used to represent it, so as to design the controller in an infinite horizon. Then, to obtain the minimum running time, the dwell time method depending on the Lyapunov function is proposed for different stages. Finally, taking the injection molding process as an example, the system simulation is carried out. The simulation shows that the proposed method is feasible and effective.

Key words: batch processes, switched systems, process control, control, systems engineering, actuator failure

中图分类号:

TB 114.43

王立敏, 卢丽彬, 高福荣, 周东华. 多阶段间歇过程无穷时域优化线性二次容错控制[J]. 化工学报, 2019, 70(2): 541-547.

Limin WANG, Libin LU, Furong GAO, Donghua ZHOU. Infinite horizon linear quadratic hybrid fault-tolerant control for multi-phase batch process[J]. CIESC Journal, 2019, 70(2): 541-547.

图/表 3

图1 第20 个批次的跟踪误差

Fig.1 Tracking error of the 20th batch

图2 第20个批次一维输入

Fig.2 The 20th batch of one-dimensional input

图3 第20个批次一维输出

Fig.3 The 20th of batch one-dimensional output(1bar=0.1 MPa)

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多阶段间歇过程无穷时域优化线性二次容错控制

Infinite horizon linear quadratic hybrid fault-tolerant control for multi-phase batch process

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