多阶段间歇过程无穷时域优化线性二次容错控制

王立敏; 卢丽彬; 高福荣; 周东华

doi:10.11949/j.issn.0438-1157.20181366

您当前的位置：

首页 >

文章列表页 >

多阶段间歇过程无穷时域优化线性二次容错控制

过程系统工程 | 更新时间：2026-07-24

- 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
- 化工学报 2019年70卷第2期页码：541-547
- 作者机构：
  
  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
- 作者简介：
  
  王立敏（1976—），女，博士，副教授，wanglimin0817@163.com
- 基金信息：
  
  国家自然科学基金项目(61773190)
- DOI：10.11949/j.issn.0438-1157.20181366
  中图分类号： TB 114.43
- 收稿：2018-11-07，
  
  修回：2018-11-23，
  
  网络首发：2020-06-16，
  
  纸质出版：2019-02-05
- 稿件说明：
移动端阅览
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

WANG Limin, LU Libin, GAO Furong, ZHOU Donghua. Infinite horizon linear quadratic hybrid fault-tolerant control for multi-phase batch process[J]. CIESC Journal, 2019, 70(2): 541-547
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 DOI： 10.11949/j.issn.0438-1157.20181366.

WANG Limin, LU Libin, GAO Furong, ZHOU Donghua. Infinite horizon linear quadratic hybrid fault-tolerant control for multi-phase batch process[J]. CIESC Journal, 2019, 70(2): 541-547 DOI： 10.11949/j.issn.0438-1157.20181366.

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。

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.

关键词

Keywords

references

Wang Y Q , Shi J , Zhou D H , et al . Iterative learning fault-tolerant control for batch processes [J ] . Industrial & Engineering Chemistry Research , 2006 , 45 ( 26 ): 9050 - 9060 .

Wang Y Q , Zhou D H , Gao F R . Iterative learning reliable control of batch processes with sensor faults [J ] . Chemical Engineering Science , 2008 , 63 ( 4 ): 1039 - 1051 .

Wang Y Q , Zhou D H , Gao F R . Generalized predictive control of linear systems with actuator arrearage faults [J ] . Journal of Process Control , 2009 , 19 ( 5 ): 803 - 815 .

Aumi S , Mhaskar P . Robust model predictive control and fault handling of batch processes [J ] . AIChE Journal , 2011 , 57 ( 7 ): 1796 - 1808 .

Wang L M , Dong W W . Optimal iterative learning fault-tolerant guaranteed cost control for batch processes in the 2D-FM model [J ] . Abstract and Applied Analysis , 2014 , 2012 ( 5 ): 919 - 929 .

Zhang R D , Gan L Z , Lu J Y , et al . New design of state space linear quadratic fault-tolerant tracking control for batch processes with partial actuator failure [J ] . Industrial & Engineering Chemistry Research , 2013 , 52 ( 46 ): 16294 - 16300 .

Wang L M , Chen X , Gao F R . An LMI method to robust iterative learning fault-tolerant guaranteed cost control for batch processes [J ] . Chinese Journal of Chemical Engineering , 2013 , 21 ( 4 ): 401 - 411 .

Zhang R D , Lu J Y , Qu H Y , et al . State space model predictive fault-tolerant control for batch processes with partial actuator failure [J ] . Journal of Process Control , 2014 , 24 ( 5 ): 613 - 620 .

Zhang R D , Zou H B , Xue A K , et al . GA based predictive functional control for batch processes under actuator faults [J ] . Chemometrics and Intelligent Laboratory Systems , 2014 , 137 ( 1 ): 67 - 73 .

Zhang R D , Lu R Q , Xue A K , et al . Predictive functional control for linear systems under partial actuator faults and application on an injection molding batch process [J ] . Ind.Eng.Chem. Res. , 2014 , 53 ( 2 ): 723 - 731 .

Zhang R D , Jin Q B , Gao F R . Design of state space linear quadratic tracking control using GA optimization for batch processes with partial actuator failure [J ] . Journal of Process Control , 2015 , 26 : 102 - 114 .

Zhang R D , Gao F R . Improved infinite horizon LQ tracking control for injection molding process against partial actuator failures [J ] . Computers & Chemical Engineering , 2015 , 80 : 130 - 139 .

Zhang R D , Lu R Q , Xua A K , et al . New minmax linear quadratic fault-tolerant tracking control for batch processes [J ] . IEEE Transactions on Automatic Control , 2016 , 61 ( 10 ): 3045 - 3051 .

Wang L M , Liu F F , Yu J X , et al . Iterative learning fault-tolerant control for injection molding processes against actuator faults [J ] . Journal of Process Control , 2017 , 59 : 59 - 72 .

Zou T , Wu S , Zhang R D . Improved state space model predictive fault-tolerant control for injection molding batch processes with partial actuator faults using GA optimization [J ] . ISA Transactions , 2018 , 73 : 147 - 153 .

Wang Y Q , Zhou D H , Gao F R . Active fault-tolerant control of nonlinear batch processes with sensor faults [J ] . Industrial & Engineering Chemistry Research , 2007 , 46 ( 26 ): 9158 - 9169 .

Peng K , Zhang K , You B , et al . A quality-based nonlinear fault diagnosis framework focusing on industrial multimode batch processes [J ] . IEEE Transactions on Industrial Electronics , 2016 , 63 ( 4 ): 2615 - 2624 .

Wang L M , Zhu C J , Yu J X , et al . Fuzzy iterative learning control for batch processes with interval time-varying delays [J ] . Industrial & Engineering Chemistry Research , 2017 , 56 ( 14 ): 3993 - 4001 .

Altin B , Barton K . Exponential stability of nonlinear differential repetitive processes with applications to iterative learning control [J ] . Automatica , 2017 , 81 : 369 - 376 .

Wang L M , Li B Y , Yu J X , et al . Design of fuzzy iterative learning fault-tolerant control for batch processes with time-varying delays [J ] . Optimal Control Applications & Methods , 2018 , 39 : 1887 - 1903 .

Lu J Y , Cao Z X , Zhang R D , et al . Nonlinear monotonically convergent iterative learning control for batch processes [J ] . IEEE Transactions on Industrial Electronics , 2018 , 65 ( 7 ): 5826 - 5836 .

Liu T , Gao F . A generalized relay identification method for time delay and non-minimum phase processes [J ] . Automatica , 2010 , 45 ( 4 ): 1072 - 1079 .

Wang L M , Mo S Y , Zhou D H , et al . Robust delay dependent iterative learning fault-tolerant control for batch processes with state delay and actuator failures [J ] . Journal of Process Control , 2012 , 7 ( 22 ): 1273 - 1286 .

Wang L M , Mo S Y , Zhou D H , et al . Delay-range-dependent method for iterative learning fault-tolerant guaranteed cost control for batch processes [J ] . Industrial & Engineering Chemistry Research , 2013 , 52 ( 7 ): 2661 - 2671 .

Liu C . Optimal control of a switched autonomous system with time delay arising in fed-batch processes [J ] . IMA Journal of Applied Mathematics , 2015 , 80 ( 2 ): 569 - 584 .

Wang Y M , Zhao D H , Li Y Y , et al . Unbiased minimum variance fault and state estimation for linear discrete time-varying two-dimensional systems [J ] . IEEE Transactions on Automatic Control , 2017 , 62 ( 10 ): 5463 - 5469 .

Tao H , Paszke W , Rogers E , et al . Iterative learning fault-tolerant control for differential time-delay batch processes in finite frequency domains [J ] . Journal of Process Control , 2017 , 56 ： 112 - 128 .

Wang L M , He X , Zhou D H . Average dwell time-based optimal iterative learning control for multi-phase batch processes [J ] . Journal of Process Control , 2016 , 40 : 1 - 12 .

Gao M , Sheng L , Zhou D H , et al . Iterative learning fault-tolerant control for networked batch processes with multi-rate sampling and quantization effects [J ] . Industrial & Engineering Chemistry Research , 2017 , 56 ( 9 ): 2515 - 2525 .

Wang L M , Sheng Y T , Yu J X , et al . Robust iterative learning control for multi-phase batch processes: an average dwell-time method with 2D convergence indexes [J ] . International Journal of Systems Science , 2018 , 49 ( 2 ): 324 - 343 .

Lu J Y , Cao Z X , Gao F R . A multi-point iterative learning model predictive control for batch processes [J ] . IEEE Transactions on Industrial Electronics , 2018 , DOI: 10.1109/TIE.2018.2873133 http://dx.doi.org/10.1109/TIE.2018.2873133 .

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

基于T-S模糊模型的间歇过程的迭代学习容错控制

不确定性下基于多工况优化的可控性换热器网络综合

国内冷热电联供系统现状和发展趋势

高效再生催化裂化装置多稳态分析：反应温度开/闭环控制条件对热反馈机制的影响

一种基于聚类方法的多阶段间歇过程监控方法