Cascade Disturbance Observer-Based Control Design for Cascaded Systems With Considerable Inner-Loop Dynamics

Cascade control permeates a wide range of industrial processes, due to its significant improvement in disturbance rejection. However, conventional cascade control turns laborious to control the sluggish outer loop and suffers from complex inner-outer-loop coupling dynamics. Combining the merits of c...

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Published inIEEE transactions on automation science and engineering Vol. 22; pp. 12621 - 12632
Main Authors Chen, Zhuo, Hao, Yong-Sheng, Su, Zhi-Gang, Sun, Li
Format Journal Article
LanguageEnglish
Published IEEE 2025
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Abstract Cascade control permeates a wide range of industrial processes, due to its significant improvement in disturbance rejection. However, conventional cascade control turns laborious to control the sluggish outer loop and suffers from complex inner-outer-loop coupling dynamics. Combining the merits of conventional cascade control and powerful capability of disturbance observer (DOB), this paper presents a cascade disturbance observer (CDOB) based control approach for cascaded systems. The resulting cascade control system features equivalent decoupling of the inner- and outer-loop disturbance rejection (DR), which allows the relevant filters to be designed separately. For the inner-loop filter, a robust design approach, directly based on the performance specifications and robustness constraints, is proposed, which enables an intuitive trade-off between performance and robustness. A novel filter is devised to improve the sluggish outer-loop DR performance. With the feedforward controller designed based on the nominal model, a composite control strategy is finally constructed. Some simulations and experiments are presented to validate the efficacy of the proposed method, and the significant performance improvements depict application prospects in process control. Note to Practitioners -This paper focuses on cascade control design for cascaded systems and presents a CDOB based control scheme as well as its robust design approach. The DR response of the control system and detailed control design, including inner- & outer-loop filters design, compensated plant analysis and robust stability analysis, are demonstrated, which can provide a design reference for practitioners. Specifically, the inner- and outer-loop filters are constructed subject to the performance and robustness trade-offs, which can help practitioners grasp the performance and robustness of the control system and facilitate control practice. The proposed control method features equivalent decoupling of the inner- and outer-loop DR and the CDOB can also serve as a patch for the baseline controller just like the conventional DOB. Further, the CDOB structure is also promising to be extended to more general cascade systems, such as non-minimum phase processes. The simulation and experiment results demonstrate the superiority of the proposed method and show promise for practical application in other systems.
AbstractList Cascade control permeates a wide range of industrial processes, due to its significant improvement in disturbance rejection. However, conventional cascade control turns laborious to control the sluggish outer loop and suffers from complex inner-outer-loop coupling dynamics. Combining the merits of conventional cascade control and powerful capability of disturbance observer (DOB), this paper presents a cascade disturbance observer (CDOB) based control approach for cascaded systems. The resulting cascade control system features equivalent decoupling of the inner- and outer-loop disturbance rejection (DR), which allows the relevant filters to be designed separately. For the inner-loop filter, a robust design approach, directly based on the performance specifications and robustness constraints, is proposed, which enables an intuitive trade-off between performance and robustness. A novel filter is devised to improve the sluggish outer-loop DR performance. With the feedforward controller designed based on the nominal model, a composite control strategy is finally constructed. Some simulations and experiments are presented to validate the efficacy of the proposed method, and the significant performance improvements depict application prospects in process control. Note to Practitioners -This paper focuses on cascade control design for cascaded systems and presents a CDOB based control scheme as well as its robust design approach. The DR response of the control system and detailed control design, including inner- & outer-loop filters design, compensated plant analysis and robust stability analysis, are demonstrated, which can provide a design reference for practitioners. Specifically, the inner- and outer-loop filters are constructed subject to the performance and robustness trade-offs, which can help practitioners grasp the performance and robustness of the control system and facilitate control practice. The proposed control method features equivalent decoupling of the inner- and outer-loop DR and the CDOB can also serve as a patch for the baseline controller just like the conventional DOB. Further, the CDOB structure is also promising to be extended to more general cascade systems, such as non-minimum phase processes. The simulation and experiment results demonstrate the superiority of the proposed method and show promise for practical application in other systems.
Author Sun, Li
Hao, Yong-Sheng
Su, Zhi-Gang
Chen, Zhuo
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Cites_doi 10.1080/00207179.2013.795663
10.1080/00207179.2018.1552024
10.3390/su12198235
10.1109/87.784416
10.1109/TIE.2015.2478397
10.1109/CAC.2018.8623613
10.1109/TIE.2021.3055187
10.1109/TCST.2018.2874016
10.1016/j.isatra.2013.09.012
10.1049/iet-cta.2008.0472
10.1109/ICCAS.2016.7832477
10.1007/978-0-85729-977-2
10.1021/i200032a041
10.1109/TIE.1987.350923
10.1016/S0959-1524(02)00062-8
10.1016/b978-0-7506-2255-4.50012-x
10.1016/j.conengprac.2024.105966
10.1115/1.4025801
10.1016/j.apenergy.2017.09.095
10.1016/j.apenergy.2022.119918
10.1109/TIE.2019.2908592
10.1109/TASE.2023.3329772
10.1109/CCECE.2008.4564850
10.1109/TASE.2024.3398776
10.1109/TIE.2022.3192687
10.1109/TAC.2002.808491
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References Seborg (ref4) 2017
ref13
ref12
ref14
ref31
ref11
ref10
ref32
ref2
ref1
Chen (ref28)
ref17
ref16
ref19
ref18
Ohishi (ref15); 2
ref24
ref23
Doyle (ref30) 2013
ref25
Skogestad (ref26) 2005
ref20
ref22
ref21
ref29
ref8
ref7
ref9
ref3
ref6
ref5
Astrom (ref27) 2006
References_xml – start-page: 6322
  volume-title: Proc. 30th Chin. Control Conf.
  ident: ref28
  article-title: Tuning method for second-order active disturbance rejection control
– ident: ref31
  doi: 10.1080/00207179.2013.795663
– ident: ref18
  doi: 10.1080/00207179.2018.1552024
– ident: ref12
  doi: 10.3390/su12198235
– ident: ref23
  doi: 10.1109/87.784416
– volume: 2
  start-page: 1209
  volume-title: Proc. IEEJ Int. Power Electron. Conf. (IPEC-TOKYO)
  ident: ref15
  article-title: Torque-speed regulation of DC motor based on load torque estimation
– volume-title: Process Dynamics and Control
  year: 2017
  ident: ref4
– ident: ref17
  doi: 10.1109/TIE.2015.2478397
– volume-title: Advanced PID Control
  year: 2006
  ident: ref27
– ident: ref11
  doi: 10.1109/CAC.2018.8623613
– ident: ref19
  doi: 10.1109/TIE.2021.3055187
– ident: ref24
  doi: 10.1109/TCST.2018.2874016
– ident: ref10
  doi: 10.1016/j.isatra.2013.09.012
– ident: ref8
  doi: 10.1049/iet-cta.2008.0472
– ident: ref21
  doi: 10.1109/ICCAS.2016.7832477
– volume-title: Feedback Control Theory
  year: 2013
  ident: ref30
– ident: ref1
  doi: 10.1007/978-0-85729-977-2
– ident: ref20
  doi: 10.1021/i200032a041
– ident: ref16
  doi: 10.1109/TIE.1987.350923
– ident: ref7
  doi: 10.1016/S0959-1524(02)00062-8
– ident: ref5
  doi: 10.1016/b978-0-7506-2255-4.50012-x
– ident: ref29
  doi: 10.1016/j.conengprac.2024.105966
– ident: ref25
  doi: 10.1115/1.4025801
– ident: ref3
  doi: 10.1016/j.apenergy.2017.09.095
– ident: ref14
  doi: 10.1016/j.apenergy.2022.119918
– volume-title: Multivariable Feedback Control: Analysis and Design
  year: 2005
  ident: ref26
– ident: ref13
  doi: 10.1109/TIE.2019.2908592
– ident: ref2
  doi: 10.1109/TASE.2023.3329772
– ident: ref6
  doi: 10.1109/CCECE.2008.4564850
– ident: ref9
  doi: 10.1109/TASE.2024.3398776
– ident: ref32
  doi: 10.1109/TIE.2022.3192687
– ident: ref22
  doi: 10.1109/TAC.2002.808491
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Snippet Cascade control permeates a wide range of industrial processes, due to its significant improvement in disturbance rejection. However, conventional cascade...
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StartPage 12621
SubjectTerms Automation
cascade disturbance observer (CDOB)
Cascaded system
Control design
Control systems
Disturbance observers
disturbance rejection
Periodic structures
Process control
Robustness
Training
Tuning
Uncertainty
Title Cascade Disturbance Observer-Based Control Design for Cascaded Systems With Considerable Inner-Loop Dynamics
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Volume 22
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