Robust H∞ Control for ICPT Process With Coil Misalignment and Time Delay: A Sojourn-Probability-Based Switching Case

In this paper, the robust <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> control problem is studied for the inductively coupled power transfer (ICPT) process with coil misalignment, energy bounded interference and time-varying d...

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Published inIEEE transactions on circuits and systems. I, Regular papers Vol. 68; no. 12; pp. 5156 - 5167
Main Authors Li, Tang, Tian, Engang
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Attenuation
coil misalignment
Coils
Control systems
Coupling coefficients
Couplings
Delays
H-infinity control
ICPT
Interference
Inverters
Lyapunov functional method
Magnetic resonance
Matrix methods
Misalignment
Power transfer
Probability
Process control
Random variables
Robust <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H ∞ control
Robust control
sojourn probabilities
Stability analysis
Statistical analysis
Statistical tests
Subsystems
Switching
Time lag
Time varying control
time-varying delay
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Abstract In this paper, the robust <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> control problem is studied for the inductively coupled power transfer (ICPT) process with coil misalignment, energy bounded interference and time-varying delay. The problem of coil misalignment between the primary and secondary coils are considered, and the time varying coupling coefficient are described in a sojourn-probability-based switch model. A set of random variables are utilized to describe the sojourn probabilities of the finite modes of the coil misalignment. It should be pointed out that the sojourn probability of the <inline-formula> <tex-math notation="LaTeX">i </tex-math></inline-formula>th subsystem is obtained by the off-line statistical test instead of prescribed by hand, which is of more closer physical significance due to its engineering practice. Corresponding to the proposed switching systems, a set of controllers with time-varying delays are constructed. By resorting to the Lyapunov stability theory, the matrix analysis, and the stochastic analysis tools, the delay-dependent sufficient criteria with less conservatism are derived to guarantee the mean square stability of the ICPT system and the given interference attenuation level <inline-formula> <tex-math notation="LaTeX">\gamma </tex-math></inline-formula>. The feedback gains of the desired controller can be readily obtained by using the control toolbox in Matlab software. Three cases of the illustrative examples without exception verify the effectiveness of the suggested modeling method and control scheme.
AbstractList In this paper, the robust [Formula Omitted] control problem is studied for the inductively coupled power transfer (ICPT) process with coil misalignment, energy bounded interference and time-varying delay. The problem of coil misalignment between the primary and secondary coils are considered, and the time varying coupling coefficient are described in a sojourn-probability-based switch model. A set of random variables are utilized to describe the sojourn probabilities of the finite modes of the coil misalignment. It should be pointed out that the sojourn probability of the [Formula Omitted]th subsystem is obtained by the off-line statistical test instead of prescribed by hand, which is of more closer physical significance due to its engineering practice. Corresponding to the proposed switching systems, a set of controllers with time-varying delays are constructed. By resorting to the Lyapunov stability theory, the matrix analysis, and the stochastic analysis tools, the delay-dependent sufficient criteria with less conservatism are derived to guarantee the mean square stability of the ICPT system and the given interference attenuation level [Formula Omitted]. The feedback gains of the desired controller can be readily obtained by using the control toolbox in Matlab software. Three cases of the illustrative examples without exception verify the effectiveness of the suggested modeling method and control scheme.
In this paper, the robust <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> control problem is studied for the inductively coupled power transfer (ICPT) process with coil misalignment, energy bounded interference and time-varying delay. The problem of coil misalignment between the primary and secondary coils are considered, and the time varying coupling coefficient are described in a sojourn-probability-based switch model. A set of random variables are utilized to describe the sojourn probabilities of the finite modes of the coil misalignment. It should be pointed out that the sojourn probability of the <inline-formula> <tex-math notation="LaTeX">i </tex-math></inline-formula>th subsystem is obtained by the off-line statistical test instead of prescribed by hand, which is of more closer physical significance due to its engineering practice. Corresponding to the proposed switching systems, a set of controllers with time-varying delays are constructed. By resorting to the Lyapunov stability theory, the matrix analysis, and the stochastic analysis tools, the delay-dependent sufficient criteria with less conservatism are derived to guarantee the mean square stability of the ICPT system and the given interference attenuation level <inline-formula> <tex-math notation="LaTeX">\gamma </tex-math></inline-formula>. The feedback gains of the desired controller can be readily obtained by using the control toolbox in Matlab software. Three cases of the illustrative examples without exception verify the effectiveness of the suggested modeling method and control scheme.
Author Li, Tang
Tian, Engang
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Cites_doi 10.1049/ip-cta:19981951
10.1109/TMAG.2010.2093534
10.1109/TPEL.2013.2293138
10.1109/TPEL.2009.2037002
10.1109/TIE.2011.2170394
10.1109/TIE.2009.2015359
10.1109/TPEL.2018.2809725
10.1109/JSYST.2021.3079460
10.1109/TPEL.2020.3036459
10.1016/j.aop.2008.01.009
10.1109/TPEL.2017.2771532
10.1109/TAC.2012.2206694
10.1109/TIE.2011.2161055
10.1109/TEMC.2019.2952320
10.1002/pssb.2221050151
10.1109/TSMC.2019.2894978
10.1109/TBCAS.2014.2376965
10.1155/2020/9561523
10.1016/j.automatica.2019.05.039
10.1007/s11432-017-9448-8
10.1016/j.fss.2008.10.014
10.1103/PhysRevE.86.061115
10.1109/TCOMM.2017.2676103
10.1109/TTE.2017.2780627
10.1016/j.automatica.2020.109390
10.1109/TAC.2015.2409909
10.1109/TFUZZ.2018.2881660
10.1016/j.neucom.2017.04.039
10.1109/TBME.1987.326088
10.1109/63.838106
10.1109/JESTPE.2014.2319453
10.1109/TMTT.2017.2647945
10.1109/TCYB.2020.3024988
10.1109/TPEL.2015.2422300
10.1109/TCSI.2021.3066633
10.1016/j.automatica.2006.08.015
10.1109/TIE.2003.822038
10.1007/s10544-009-9323-7
10.1109/TIE.2012.2188254
10.1109/TBCAS.2010.2072782
10.1016/j.fss.2010.03.008
10.1109/TFUZZ.2020.2965917
10.1109/PEOCO.2014.6814475
10.1109/ICSET.2010.5684445
10.1049/cth2.12059
10.1109/TCST.2016.2634502
10.1002/rnc.4738
10.1109/TCSII.2020.2985056
10.1109/TFUZZ.2009.2023911
10.1109/JESTPE.2014.2325943
10.1109/TMAG.2002.803120
10.1016/j.jfranklin.2021.01.026
10.1109/TMAG.2019.2904086
10.1016/j.ins.2014.05.017
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References ref13
ref56
ref12
ref15
ref14
ref52
ref55
ref11
ref54
ref10
ref17
ref16
ref19
ref18
liu (ref25) 2020
ref51
ref50
ref46
ref45
ref48
ref47
ref42
ref41
ref44
ref43
ref49
ref8
ref7
ref9
ref3
ref6
ref5
ref40
li (ref4) 2015; 3
ref35
ref34
ref37
ref36
ref31
ref30
ref33
ref32
ref2
ref1
ref39
ref38
ref24
ref23
ref26
ref20
ref22
ref21
ref28
ref27
ref29
zong (ref53) 2020
References_xml – ident: ref43
  doi: 10.1049/ip-cta:19981951
– ident: ref30
  doi: 10.1109/TMAG.2010.2093534
– ident: ref23
  doi: 10.1109/TPEL.2013.2293138
– ident: ref26
  doi: 10.1109/TPEL.2009.2037002
– year: 2020
  ident: ref25
  article-title: Security control for T-S fuzzy systems with adaptive event-triggered mechanism and multiple cyber-attacks
  publication-title: IEEE Trans Syst Man Cybern Syst
  contributor:
    fullname: liu
– ident: ref28
  doi: 10.1109/TIE.2011.2170394
– ident: ref16
  doi: 10.1109/TIE.2009.2015359
– ident: ref27
  doi: 10.1109/TPEL.2018.2809725
– ident: ref55
  doi: 10.1109/JSYST.2021.3079460
– ident: ref8
  doi: 10.1109/TPEL.2020.3036459
– ident: ref35
  doi: 10.1016/j.aop.2008.01.009
– ident: ref29
  doi: 10.1109/TPEL.2017.2771532
– ident: ref46
  doi: 10.1109/TAC.2012.2206694
– ident: ref20
  doi: 10.1109/TIE.2011.2161055
– ident: ref49
  doi: 10.1109/TEMC.2019.2952320
– ident: ref34
  doi: 10.1002/pssb.2221050151
– ident: ref40
  doi: 10.1109/TSMC.2019.2894978
– ident: ref13
  doi: 10.1109/TBCAS.2014.2376965
– ident: ref31
  doi: 10.1155/2020/9561523
– ident: ref54
  doi: 10.1016/j.automatica.2019.05.039
– ident: ref10
  doi: 10.1007/s11432-017-9448-8
– ident: ref41
  doi: 10.1016/j.fss.2008.10.014
– ident: ref33
  doi: 10.1103/PhysRevE.86.061115
– year: 2020
  ident: ref53
  article-title: L1 control of positive semi-Markov jump systems with state delay
  publication-title: IEEE Trans Syst Man Cybern Syst
  contributor:
    fullname: zong
– ident: ref3
  doi: 10.1109/TCOMM.2017.2676103
– ident: ref5
  doi: 10.1109/TTE.2017.2780627
– ident: ref56
  doi: 10.1016/j.automatica.2020.109390
– ident: ref37
  doi: 10.1109/TAC.2015.2409909
– ident: ref38
  doi: 10.1109/TFUZZ.2018.2881660
– ident: ref9
  doi: 10.1016/j.neucom.2017.04.039
– ident: ref32
  doi: 10.1109/TBME.1987.326088
– ident: ref18
  doi: 10.1109/63.838106
– volume: 3
  start-page: 4
  year: 2015
  ident: ref4
  article-title: Wireless power transfer for electric vehicle applications
  publication-title: IEEE J Emerg Sel Topics Power Electron
  doi: 10.1109/JESTPE.2014.2319453
  contributor:
    fullname: li
– ident: ref14
  doi: 10.1109/TMTT.2017.2647945
– ident: ref11
  doi: 10.1109/TCYB.2020.3024988
– ident: ref1
  doi: 10.1109/TPEL.2015.2422300
– ident: ref52
  doi: 10.1109/TCSI.2021.3066633
– ident: ref47
  doi: 10.1016/j.automatica.2006.08.015
– ident: ref44
  doi: 10.1109/TIE.2003.822038
– ident: ref15
  doi: 10.1007/s10544-009-9323-7
– ident: ref2
  doi: 10.1109/TIE.2012.2188254
– ident: ref17
  doi: 10.1109/TBCAS.2010.2072782
– ident: ref45
  doi: 10.1016/j.fss.2010.03.008
– ident: ref39
  doi: 10.1109/TFUZZ.2020.2965917
– ident: ref12
  doi: 10.1109/PEOCO.2014.6814475
– ident: ref22
  doi: 10.1109/ICSET.2010.5684445
– ident: ref24
  doi: 10.1049/cth2.12059
– ident: ref19
  doi: 10.1109/TCST.2016.2634502
– ident: ref21
  doi: 10.1002/rnc.4738
– ident: ref50
  doi: 10.1109/TCSII.2020.2985056
– ident: ref42
  doi: 10.1109/TFUZZ.2009.2023911
– ident: ref6
  doi: 10.1109/JESTPE.2014.2325943
– ident: ref7
  doi: 10.1109/TMAG.2002.803120
– ident: ref51
  doi: 10.1016/j.jfranklin.2021.01.026
– ident: ref48
  doi: 10.1109/TMAG.2019.2904086
– ident: ref36
  doi: 10.1016/j.ins.2014.05.017
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Snippet In this paper, the robust <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> control problem is studied for the inductively...
In this paper, the robust [Formula Omitted] control problem is studied for the inductively coupled power transfer (ICPT) process with coil misalignment, energy...
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SubjectTerms Attenuation
coil misalignment
Coils
Control systems
Coupling coefficients
Couplings
Delays
H-infinity control
ICPT
Interference
Inverters
Lyapunov functional method
Magnetic resonance
Matrix methods
Misalignment
Power transfer
Probability
Process control
Random variables
Robust <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H ∞ control
Robust control
sojourn probabilities
Stability analysis
Statistical analysis
Statistical tests
Subsystems
Switching
Time lag
Time varying control
time-varying delay
Title Robust H∞ Control for ICPT Process With Coil Misalignment and Time Delay: A Sojourn-Probability-Based Switching Case
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