Stabilization of Robots With a Regulator Containing the Sigmoid Mapping

Actuators nonlinearities are unknown external perturbations in robots, which are unwanted because they can severely limit their performance. This research is focused on the stabilization of robots subject to actuators nonlinearities with a regulator containing the sigmoid mapping. Our regulator has...

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Published inIEEE access Vol. 8; pp. 89479 - 89488
Main Authors Martinez, Dany Ivan, De Rubio, Jose Jesus, Vargas, Tomas Miguel, Garcia, Victor, Ochoa, Genaro, Balcazar, Ricardo, Cruz, David Ricardo, Aguilar, Arturo, Novoa, Juan Francisco, Aguilar-Ibanez, Carlos
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Actuators
Manipulators
Mapping
Mobile robots
Perturbation methods
regulator
Regulators
robot
Robots
sigmoid
Stabilization
Uncertainty
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Abstract Actuators nonlinearities are unknown external perturbations in robots, which are unwanted because they can severely limit their performance. This research is focused on the stabilization of robots subject to actuators nonlinearities with a regulator containing the sigmoid mapping. Our regulator has the following three main characteristics: a) a sigmoid mapping is used to ensure boundedness of the regulator law terms, b) the chattering is reduced by the usage of the saturation mapping instead of the signum mapping, and c) the stabilization is ensured by the Lyapunov analysis. Finally, we evaluate our regulator for the stabilization of two robots.
AbstractList Actuators nonlinearities are unknown external perturbations in robots, which are unwanted because they can severely limit their performance. This research is focused on the stabilization of robots subject to actuators nonlinearities with a regulator containing the sigmoid mapping. Our regulator has the following three main characteristics: a) a sigmoid mapping is used to ensure boundedness of the regulator law terms, b) the chattering is reduced by the usage of the saturation mapping instead of the signum mapping, and c) the stabilization is ensured by the Lyapunov analysis. Finally, we evaluate our regulator for the stabilization of two robots.
Author Aguilar-Ibanez, Carlos
Balcazar, Ricardo
Novoa, Juan Francisco
Vargas, Tomas Miguel
Garcia, Victor
Aguilar, Arturo
De Rubio, Jose Jesus
Cruz, David Ricardo
Martinez, Dany Ivan
Ochoa, Genaro
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Cites_doi 10.3233/JIFS-17864
10.1109/TSTE.2019.2894633
10.1007/s11071-015-2400-y
10.1109/TSG.2020.2970174
10.1109/TIE.2019.2912781
10.1109/ACCESS.2019.2901316
10.1002/2050-7038.2820
10.1016/j.ins.2019.10.001
10.1109/ACCESS.2019.2907126
10.1016/j.isatra.2018.12.006
10.1007/s40565-019-0544-3
10.1016/j.neucom.2016.09.101
10.1109/TSMC.2019.2900050
10.2478/amcs-2019-0051
10.1007/s00521-017-3144-z
10.1049/iet-esi.2019.0023
10.1109/ACCESS.2018.2846483
10.1109/TEC.2020.2980033
10.1016/j.protcy.2016.08.084
10.1109/ACCESS.2019.2920134
10.1016/j.isatra.2019.08.006
10.1109/ACCESS.2019.2941232
10.1109/ACCESS.2018.2883596
10.1109/TFUZZ.2019.2917127
10.1002/asjc.1817
10.1109/ACCESS.2019.2894134
10.1049/iet-cta.2016.0306
10.1109/TLA.2019.8863179
10.1016/j.jfranklin.2019.05.040
10.1016/j.matpr.2017.11.232
10.1177/0142331218807740
10.1109/ACCESS.2019.2918721
10.1109/ACCESS.2019.2892414
10.1007/s00034-019-01248-1
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References ref13
ref34
ref12
ref15
ref14
ref31
ref30
ref33
ref11
ref32
ref10
ref2
ref1
ref17
ref16
ref19
ref18
ref24
ref23
ref26
ref25
ref20
ref22
ref21
ref28
ref27
ref29
ref8
ref7
ref9
ref4
ref3
ref6
ref5
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  doi: 10.3233/JIFS-17864
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  doi: 10.1109/TSTE.2019.2894633
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  doi: 10.1007/s11071-015-2400-y
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  doi: 10.1109/TSMC.2019.2900050
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  doi: 10.2478/amcs-2019-0051
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  doi: 10.1007/s00521-017-3144-z
– ident: ref9
  doi: 10.1049/iet-esi.2019.0023
– ident: ref22
  doi: 10.1109/ACCESS.2018.2846483
– ident: ref32
  doi: 10.1109/TEC.2020.2980033
– ident: ref8
  doi: 10.1016/j.protcy.2016.08.084
– ident: ref15
  doi: 10.1109/ACCESS.2019.2920134
– ident: ref5
  doi: 10.1016/j.isatra.2019.08.006
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  doi: 10.1109/ACCESS.2019.2941232
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  doi: 10.1109/ACCESS.2018.2883596
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  doi: 10.1109/ACCESS.2019.2894134
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  doi: 10.1016/j.matpr.2017.11.232
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  doi: 10.1177/0142331218807740
– ident: ref20
  doi: 10.1109/ACCESS.2019.2918721
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  doi: 10.1109/ACCESS.2019.2892414
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  doi: 10.1007/s00034-019-01248-1
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Snippet Actuators nonlinearities are unknown external perturbations in robots, which are unwanted because they can severely limit their performance. This research is...
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SubjectTerms Actuators
Manipulators
Mapping
Mobile robots
Perturbation methods
regulator
Regulators
robot
Robots
sigmoid
Stabilization
Uncertainty
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Title Stabilization of Robots With a Regulator Containing the Sigmoid Mapping
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