Robust Switched H \infty Control of T-S Fuzzy-Based MRF Suspension Systems Subject to Input Saturation and Time-Varying Delay

This article focuses on solving the optimal control problem for magnetorheological fluid (MRF)-based semiactive suspension (SAS) systems with input saturation and time-varying delay. A robust switched H<inline-formula><tex-math notation="LaTeX">\infty</tex-math></inlin...

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Published inIEEE transactions on industrial electronics (1982) Vol. 71; no. 7; pp. 1 - 10
Main Authors Gao, Zhijiang, Wong, Pak Kin, Zhao, Jing, Yang, Zhixin, Huang, Yingbo, Na, Jing
Format Journal Article
LanguageEnglish
Published IEEE 01.07.2024
Subjects
Damping
Delays
Force
Hysteresis
Input saturation
semiactive suspension (SAS)
Shock absorbers
switched control
Switches
time-varying delay
Time-varying systems
T–S fuzzy system
Online AccessGet full text
ISSN0278-0046
1557-9948
DOI10.1109/TIE.2023.3303611

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Abstract This article focuses on solving the optimal control problem for magnetorheological fluid (MRF)-based semiactive suspension (SAS) systems with input saturation and time-varying delay. A robust switched H<inline-formula><tex-math notation="LaTeX">\infty</tex-math></inline-formula> method is proposed in this work based on the Takagi-Sugeno (T-S) fuzzy theory. A novel hybrid model that incorporates both the fluid flow mechanism (FFM) and hysteresis phenomenon model (HPM) is adopted to separate the passive and active components of the MRF damper. Under such a framework, the convex and reciprocally convex approaches are used to transform the features of input saturation and time-varying delay into linear matrix inequality conditions. Furthermore, a Lyapunov-Krasovskii function is employed to guarantee the stability of the MRF-SAS system subject to input saturation and time-varying delay. Finally, the effectiveness of the proposed method is validated via a numerical example of an MRF-SAS system. The results show that the proposed controller indicates good dynamic performance for the MRF-SAS system with input saturation and time-varying delay.
AbstractList This article focuses on solving the optimal control problem for magnetorheological fluid (MRF)-based semiactive suspension (SAS) systems with input saturation and time-varying delay. A robust switched H<inline-formula><tex-math notation="LaTeX">\infty</tex-math></inline-formula> method is proposed in this work based on the Takagi-Sugeno (T-S) fuzzy theory. A novel hybrid model that incorporates both the fluid flow mechanism (FFM) and hysteresis phenomenon model (HPM) is adopted to separate the passive and active components of the MRF damper. Under such a framework, the convex and reciprocally convex approaches are used to transform the features of input saturation and time-varying delay into linear matrix inequality conditions. Furthermore, a Lyapunov-Krasovskii function is employed to guarantee the stability of the MRF-SAS system subject to input saturation and time-varying delay. Finally, the effectiveness of the proposed method is validated via a numerical example of an MRF-SAS system. The results show that the proposed controller indicates good dynamic performance for the MRF-SAS system with input saturation and time-varying delay.
Author Huang, Yingbo
Wong, Pak Kin
Gao, Zhijiang
Yang, Zhixin
Na, Jing
Zhao, Jing
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Cites_doi 10.1109/TSMC.2018.2874660
10.1109/5.871309
10.1109/TFUZZ.2019.2892356
10.1088/0964-1726/18/3/035012
10.1080/00423114.2011.645489
10.1109/TMECH.2016.2619361
10.1109/TFUZZ.2016.2566800
10.1109/TFUZZ.2021.3073264
10.1109/TCST.2018.2832127
10.1016/j.ymssp.2017.08.040
10.1109/TSMC.2020.3022101
10.1007/s42417-022-00479-y
10.1177/09544070211008763
10.1088/1361-665X/ab473b
10.1177/1687814017694581
10.1016/j.automatica.2010.10.014
10.1016/j.swevo.2020.100808
10.1109/TAC.2012.2231532
10.1109/TAC.2014.2322211
10.1109/TII.2018.2890290
10.1177/1045389X12445629
10.1109/TVT.2018.2870325
10.1109/TMECH.2016.2524673
10.1016/j.neucom.2018.04.055
10.1016/j.ymssp.2020.107316
10.1016/j.jfranklin.2022.06.016
10.1088/0964-1726/20/2/023001
10.1109/TSMC.2019.2938216
10.1109/TFUZZ.2008.2011814
10.3390/en14061674
10.1016/j.ymssp.2020.106999
10.1109/TFUZZ.2021.3128056
10.1109/TFUZZ.2002.806317
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References ref13
ref35
ref12
ref34
ref15
ref14
ref31
ref30
ref11
ref33
ref10
ref2
ref1
ref17
ref16
ref19
ref18
Lin (ref20) 2007
Strang (ref32) 2006
ref24
ref23
ref26
ref25
ref22
ref21
ref28
ref27
ref29
ref8
ref7
ref9
ref4
ref3
ref6
ref5
References_xml – ident: ref27
  doi: 10.1109/TSMC.2018.2874660
– ident: ref33
  doi: 10.1109/5.871309
– ident: ref19
  doi: 10.1109/TFUZZ.2019.2892356
– ident: ref28
  doi: 10.1088/0964-1726/18/3/035012
– ident: ref3
  doi: 10.1080/00423114.2011.645489
– ident: ref25
  doi: 10.1109/TMECH.2016.2619361
– ident: ref21
  doi: 10.1109/TFUZZ.2016.2566800
– ident: ref4
  doi: 10.1109/TFUZZ.2021.3073264
– ident: ref10
  doi: 10.1109/TCST.2018.2832127
– ident: ref14
  doi: 10.1016/j.ymssp.2017.08.040
– ident: ref1
  doi: 10.1109/TSMC.2020.3022101
– ident: ref5
  doi: 10.1007/s42417-022-00479-y
– ident: ref9
  doi: 10.1177/09544070211008763
– ident: ref15
  doi: 10.1088/1361-665X/ab473b
– ident: ref13
  doi: 10.1177/1687814017694581
– ident: ref31
  doi: 10.1016/j.automatica.2010.10.014
– ident: ref34
  doi: 10.1016/j.swevo.2020.100808
– ident: ref30
  doi: 10.1109/TAC.2012.2231532
– volume-title: LMI Approach to Analysis and Control of Takagi-Sugeno Fuzzy Systems With Time Delay
  year: 2007
  ident: ref20
– ident: ref23
  doi: 10.1109/TAC.2014.2322211
– ident: ref7
  doi: 10.1109/TII.2018.2890290
– ident: ref22
  doi: 10.1177/1045389X12445629
– ident: ref2
  doi: 10.1109/TVT.2018.2870325
– ident: ref18
  doi: 10.1109/TMECH.2016.2524673
– ident: ref11
  doi: 10.1016/j.neucom.2018.04.055
– ident: ref16
  doi: 10.1016/j.ymssp.2020.107316
– ident: ref29
  doi: 10.1016/j.jfranklin.2022.06.016
– ident: ref17
  doi: 10.1088/0964-1726/20/2/023001
– ident: ref24
  doi: 10.1109/TSMC.2019.2938216
– ident: ref35
  doi: 10.1109/TFUZZ.2008.2011814
– ident: ref6
  doi: 10.3390/en14061674
– volume-title: Linear Algebra and Its Applications
  year: 2006
  ident: ref32
– ident: ref8
  doi: 10.1016/j.ymssp.2020.106999
– ident: ref12
  doi: 10.1109/TFUZZ.2021.3128056
– ident: ref26
  doi: 10.1109/TFUZZ.2002.806317
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Snippet This article focuses on solving the optimal control problem for magnetorheological fluid (MRF)-based semiactive suspension (SAS) systems with input saturation...
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SubjectTerms Damping
Delays
Force
Hysteresis
Input saturation
semiactive suspension (SAS)
Shock absorbers
switched control
Switches
time-varying delay
Time-varying systems
T–S fuzzy system
Title Robust Switched H \infty Control of T-S Fuzzy-Based MRF Suspension Systems Subject to Input Saturation and Time-Varying Delay
URI https://ieeexplore.ieee.org/document/10236924
Volume 71
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