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

WANG Limin; LU Libin; GAO Furong; ZHOU Donghua

doi:10.11949/j.issn.0438-1157.20181366

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

Process system engineering | 更新时间：2026-07-24

- Infinite horizon linear quadratic hybrid fault-tolerant control for multi-phase batch process
- CIESC Journal Vol. 70, Issue 2, Pages: 541-547(2019)
- 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：
- 基金信息：
- DOI：10.11949/j.issn.0438-1157.20181366
  CLC： TB 114.43
- Received：07 November 2018，
  
  Revised：2018-11-23，
  
  Online First：16 June 2020，
  
  Published：05 February 2019
- 稿件说明：
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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.

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references

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