Semi-Global Stabilization of Discrete-Time Linear Systems Subject to Infinite Distributed Input Delays and Actuator Saturations

The semi-global stabilization problem of discrete-time systems subject to infinite distributed input delays and actuator saturations is investigated in this article. This article develops two low-gain feedback control laws for two types of systems, respectively. It is shown that the resulting system...

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Published inIEEE transactions on cybernetics Vol. 54; no. 12; pp. 7555 - 7565
Main Authors Guo, Yige, Xu, Xiang, Liu, Lu, Wang, Yong, Feng, Gang
Format Journal Article
LanguageEnglish
Published United States IEEE 01.12.2024
Subjects
Actuators
Aerospace electronics
Control systems
Delay effects
Delays
Discrete-time systems
infinite delays
Kernel
Linear systems
Numerical stability
saturation
Stability criteria
stabilization
Vectors
Online AccessGet full text
ISSN2168-2267
2168-2275
2168-2275
DOI10.1109/TCYB.2024.3465437

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Abstract The semi-global stabilization problem of discrete-time systems subject to infinite distributed input delays and actuator saturations is investigated in this article. This article develops two low-gain feedback control laws for two types of systems, respectively. It is shown that the resulting system is semi-globally exponentially stabilized. Our results include those existing results on systems subject to only input saturations and systems subject to bounded delays and input saturations as special cases. Compared with existing results on infinite delays and actuator saturations, this article develops a more accurate scaling utilizing a more general framework. Furthermore, a novel converse Lyapunov theorem for discrete-time linear infinite-delayed systems and a novel stability analysis theorem for perturbed discrete-time linear infinite-delayed systems are developed to handle the nonlinearity induced by saturations. Finally, this article provides two numerical examples to illustrate the effectiveness of the developed theorems.
AbstractList The semi-global stabilization problem of discrete-time systems subject to infinite distributed input delays and actuator saturations is investigated in this article. This article develops two low-gain feedback control laws for two types of systems, respectively. It is shown that the resulting system is semi-globally exponentially stabilized. Our results include those existing results on systems subject to only input saturations and systems subject to bounded delays and input saturations as special cases. Compared with existing results on infinite delays and actuator saturations, this article develops a more accurate scaling utilizing a more general framework. Furthermore, a novel converse Lyapunov theorem for discrete-time linear infinite-delayed systems and a novel stability analysis theorem for perturbed discrete-time linear infinite-delayed systems are developed to handle the nonlinearity induced by saturations. Finally, this article provides two numerical examples to illustrate the effectiveness of the developed theorems.The semi-global stabilization problem of discrete-time systems subject to infinite distributed input delays and actuator saturations is investigated in this article. This article develops two low-gain feedback control laws for two types of systems, respectively. It is shown that the resulting system is semi-globally exponentially stabilized. Our results include those existing results on systems subject to only input saturations and systems subject to bounded delays and input saturations as special cases. Compared with existing results on infinite delays and actuator saturations, this article develops a more accurate scaling utilizing a more general framework. Furthermore, a novel converse Lyapunov theorem for discrete-time linear infinite-delayed systems and a novel stability analysis theorem for perturbed discrete-time linear infinite-delayed systems are developed to handle the nonlinearity induced by saturations. Finally, this article provides two numerical examples to illustrate the effectiveness of the developed theorems.
The semi-global stabilization problem of discrete-time systems subject to infinite distributed input delays and actuator saturations is investigated in this article. This article develops two low-gain feedback control laws for two types of systems, respectively. It is shown that the resulting system is semi-globally exponentially stabilized. Our results include those existing results on systems subject to only input saturations and systems subject to bounded delays and input saturations as special cases. Compared with existing results on infinite delays and actuator saturations, this article develops a more accurate scaling utilizing a more general framework. Furthermore, a novel converse Lyapunov theorem for discrete-time linear infinite-delayed systems and a novel stability analysis theorem for perturbed discrete-time linear infinite-delayed systems are developed to handle the nonlinearity induced by saturations. Finally, this article provides two numerical examples to illustrate the effectiveness of the developed theorems.
Author Guo, Yige
Xu, Xiang
Liu, Lu
Wang, Yong
Feng, Gang
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Cites_doi 10.1007/978-3-642-54206-0
10.1109/TCYB.2021.3050177
10.1016/j.automatica.2008.06.019
10.1016/0362-546X(94)90231-3
10.1109/TCYB.2021.3119922
10.1007/978-1-4612-4342-7
10.1109/TCYB.2022.3168090
10.1137/060670766
10.1016/0898-1221(94)00102-2
10.1103/PhysRevLett.91.094101
10.1109/TAC.2005.844723
10.1016/0022-247X(74)90233-9
10.1109/TCYB.2017.2665683
10.1109/TCST.2007.899718
10.1109/TCYB.2023.3264913
10.1109/TIE.2004.837866
10.1016/j.automatica.2020.109387
10.1109/TAC.1985.1103789
10.1371/journal.pcbi.1002264
10.1109/TAC.2020.2989791
10.1016/S0167-6911(97)00021-2
10.1016/j.automatica.2013.08.025
10.1109/TAC.2015.2513371
10.1016/j.automatica.2022.110786
10.1109/TAC.1982.1103023
10.1109/TCSI.2012.2215777
10.1109/TCYB.2021.3085735
10.1007/978-1-4612-0205-9
10.1109/TCYB.2022.3218849
10.1109/CDC.2015.7403442
10.1016/0167-6911(94)00020-V
10.1109/9.533685
10.1016/S0167-6911(00)00113-4
10.1080/00207170701516397
10.1016/j.automatica.2016.02.038
10.1049/iet-cta.2017.0853
10.1109/TAC.2011.2170451
10.1109/TAC.2007.899007
10.2748/tmj/1178229804
10.1109/TAC.2019.2958557
10.1109/TCYB.2019.2924446
10.1016/j.automatica.2019.06.005
10.1109/9.935057
10.1016/S0005-1098(03)00167-5
10.1007/978-1-4612-0039-0
10.1016/j.ins.2021.06.060
10.1016/j.automatica.2018.04.049
10.1016/j.automatica.2021.110043
10.1109/TAC.2021.3069718
10.1109/TAC.2020.2991013
10.1109/TCYB.2020.2977554
10.1109/TCYB.2022.3228325
10.1016/0167-6911(93)90033-3
10.1109/ICCA.2007.4376394
10.1109/TCSI.2011.2143170
10.1109/TCYB.2015.2489563
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References ref13
ref57
ref12
ref56
ref15
ref14
ref58
ref53
ref52
ref11
ref55
ref10
ref54
ref17
ref16
ref19
Khalil (ref51) 2002
Hale (ref1) 1993
ref50
ref46
ref45
ref48
ref47
ref42
ref41
ref44
ref43
ref49
ref8
ref7
ref9
ref4
ref3
ref6
ref5
ref40
ref35
ref34
ref37
ref36
ref31
ref30
ref33
ref32
ref2
ref39
Kato (ref18) 1978; 21
ref38
ref24
ref23
ref26
ref25
ref20
ref22
ref21
ref28
ref27
ref29
References_xml – ident: ref57
  doi: 10.1007/978-3-642-54206-0
– ident: ref28
  doi: 10.1109/TCYB.2021.3050177
– ident: ref56
  doi: 10.1016/j.automatica.2008.06.019
– ident: ref21
  doi: 10.1016/0362-546X(94)90231-3
– ident: ref15
  doi: 10.1109/TCYB.2021.3119922
– volume-title: Introduction to Functional Differential Equations
  year: 1993
  ident: ref1
  doi: 10.1007/978-1-4612-4342-7
– ident: ref16
  doi: 10.1109/TCYB.2022.3168090
– ident: ref24
  doi: 10.1137/060670766
– ident: ref12
  doi: 10.1016/0898-1221(94)00102-2
– ident: ref14
  doi: 10.1103/PhysRevLett.91.094101
– ident: ref7
  doi: 10.1109/TAC.2005.844723
– ident: ref17
  doi: 10.1016/0022-247X(74)90233-9
– ident: ref10
  doi: 10.1109/TCYB.2017.2665683
– ident: ref54
  doi: 10.1109/TCST.2007.899718
– ident: ref33
  doi: 10.1109/TCYB.2023.3264913
– ident: ref11
  doi: 10.1109/TIE.2004.837866
– ident: ref34
  doi: 10.1016/j.automatica.2020.109387
– ident: ref4
  doi: 10.1109/TAC.1985.1103789
– ident: ref13
  doi: 10.1371/journal.pcbi.1002264
– ident: ref41
  doi: 10.1109/TAC.2020.2989791
– volume: 21
  start-page: 63
  year: 1978
  ident: ref18
  article-title: Stability problem in functional differential equations with infinite delay
  publication-title: Funkcialaj Ekvacioj
– ident: ref52
  doi: 10.1016/S0167-6911(97)00021-2
– volume-title: Nonlinear Systems
  year: 2002
  ident: ref51
– ident: ref25
  doi: 10.1016/j.automatica.2013.08.025
– ident: ref40
  doi: 10.1109/TAC.2015.2513371
– ident: ref23
  doi: 10.1016/j.automatica.2022.110786
– ident: ref58
  doi: 10.1109/TAC.1982.1103023
– ident: ref47
  doi: 10.1109/TCSI.2012.2215777
– ident: ref43
  doi: 10.1109/TCYB.2021.3085735
– ident: ref30
  doi: 10.1007/978-1-4612-0205-9
– ident: ref35
  doi: 10.1109/TCYB.2022.3218849
– ident: ref27
  doi: 10.1109/CDC.2015.7403442
– ident: ref37
  doi: 10.1016/0167-6911(94)00020-V
– ident: ref48
  doi: 10.1109/9.533685
– ident: ref5
  doi: 10.1016/S0167-6911(00)00113-4
– ident: ref55
  doi: 10.1080/00207170701516397
– ident: ref26
  doi: 10.1016/j.automatica.2016.02.038
– ident: ref53
  doi: 10.1049/iet-cta.2017.0853
– ident: ref8
  doi: 10.1109/TAC.2011.2170451
– ident: ref38
  doi: 10.1109/TAC.2007.899007
– ident: ref19
  doi: 10.2748/tmj/1178229804
– ident: ref20
  doi: 10.1109/TAC.2019.2958557
– ident: ref42
  doi: 10.1109/TCYB.2019.2924446
– ident: ref45
  doi: 10.1016/j.automatica.2019.06.005
– ident: ref6
  doi: 10.1109/9.935057
– ident: ref2
  doi: 10.1016/S0005-1098(03)00167-5
– ident: ref3
  doi: 10.1007/978-1-4612-0039-0
– ident: ref49
  doi: 10.1016/j.ins.2021.06.060
– ident: ref22
  doi: 10.1016/j.automatica.2018.04.049
– ident: ref50
  doi: 10.1016/j.automatica.2021.110043
– ident: ref29
  doi: 10.1109/TAC.2021.3069718
– ident: ref44
  doi: 10.1109/TAC.2020.2991013
– ident: ref32
  doi: 10.1109/TCYB.2020.2977554
– ident: ref31
  doi: 10.1109/TCYB.2022.3228325
– ident: ref36
  doi: 10.1016/0167-6911(93)90033-3
– ident: ref39
  doi: 10.1109/ICCA.2007.4376394
– ident: ref46
  doi: 10.1109/TCSI.2011.2143170
– ident: ref9
  doi: 10.1109/TCYB.2015.2489563
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SubjectTerms Actuators
Aerospace electronics
Control systems
Delay effects
Delays
Discrete-time systems
infinite delays
Kernel
Linear systems
Numerical stability
saturation
Stability criteria
stabilization
Vectors
Title Semi-Global Stabilization of Discrete-Time Linear Systems Subject to Infinite Distributed Input Delays and Actuator Saturations
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