Trajectory Tracking Control for a Three-Dimensional Flexible Wing

This brief mainly considers trajectory tracking and vibration suppression for a 3-D flexible wing. The dynamical model of the flexible wing is regarded as a distributed parameter system, which is described by partial differential equations and ordinary differential equations. A control strategy regu...

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Published inIEEE transactions on control systems technology Vol. 30; no. 5; pp. 2243 - 2250
Main Authors He, Wei, Tang, Xinyue, Wang, Tingting, Liu, Zhijie
Format Journal Article
LanguageEnglish
Published New York IEEE 01.09.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
3-D flexible wing
Aerospace electronics
Bending
distributed parameter system
Dynamic models
Finite difference method
Flexible wings
Mathematical models
Partial differential equations
Solid modeling
Tracking control
Trajectory
Trajectory control
Trajectory tracking
trajectory tracking control
Vibration control
Vibrations
Online AccessGet full text
ISSN1063-6536
1558-0865
DOI10.1109/TCST.2021.3139087

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Abstract This brief mainly considers trajectory tracking and vibration suppression for a 3-D flexible wing. The dynamical model of the flexible wing is regarded as a distributed parameter system, which is described by partial differential equations and ordinary differential equations. A control strategy regulates the flexible wing to track the desired trajectory by controlling two angles. Meanwhile, two active boundary controllers are proposed to restrain the vibrations both in bending and twisting. By using Lyapunov's direct method, the stability of the flexible wing system can be ensured. Numerical simulations based on the finite-difference method demonstrate the effectiveness of the proposed control schemes.
AbstractList This brief mainly considers trajectory tracking and vibration suppression for a 3-D flexible wing. The dynamical model of the flexible wing is regarded as a distributed parameter system, which is described by partial differential equations and ordinary differential equations. A control strategy regulates the flexible wing to track the desired trajectory by controlling two angles. Meanwhile, two active boundary controllers are proposed to restrain the vibrations both in bending and twisting. By using Lyapunov’s direct method, the stability of the flexible wing system can be ensured. Numerical simulations based on the finite-difference method demonstrate the effectiveness of the proposed control schemes.
Author Wang, Tingting
Liu, Zhijie
He, Wei
Tang, Xinyue
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Cites_doi 10.1109/TRO.2006.875480
10.1109/JAS.2020.1003225
10.2514/1.C032853
10.1109/TMECH.2014.2358500
10.1007/s11424-020-9210-0
10.1109/TSMC.2018.2870999
10.1017/CBO9780511551154
10.1007/s11432-019-2764-1
10.1098/rsif.2017.0224
10.1109/TSMC.2019.2944999
10.1007/s11424-018-7182-0
10.1016/j.compfluid.2014.12.002
10.1109/TMECH.2020.2987963
10.1049/PBCE068E
10.1109/ACCESS.2020.3024793
10.1016/j.apm.2021.03.040
10.1109/TRO.2013.2240711
10.1109/TSMC.2020.2999485
10.1007/978-3-662-04641-8
10.1109/LRA.2021.3059626
10.2514/1.40473
10.1109/TIE.2019.2931230
10.1108/AA-06-2019-0103
10.1109/TNNLS.2016.2516948
10.1109/TSMC.2021.3104862
10.1007/s11432-020-3109-x
10.1109/TIE.2018.2884172
10.1137/1.9780898718607
10.1016/j.automatica.2018.10.030
10.1016/j.ast.2019.105593
10.1109/TAC.2018.2793940
10.1109/ACCESS.2019.2946018
10.1115/1.1399379
10.1007/s11432-019-2893-y
10.1016/j.ifacol.2015.12.161
10.1109/TNNLS.2020.2979600
10.1016/j.ast.2020.105944
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References ref35
ref13
ref34
ref12
ref37
ref15
ref14
ref31
ref30
ref33
ref11
ref32
ref10
ref2
ref1
ref39
ref17
ref38
ref16
ref18
ref24
ref23
ref26
ref25
ref20
ref22
ref21
ref28
ref27
ref29
ref8
ref7
ref9
ren (ref19) 2021
ref4
ref3
chattaraj (ref36) 2019; 28
ref6
ref5
References_xml – volume: 28
  start-page: 1
  year: 2019
  ident: ref36
  article-title: Design of a distributed compliant mechanism using spring-lever model and topology optimization for piezoelectrically actuated flapping wings
  publication-title: Mechanics of Advanced Materials and Structures
– ident: ref3
  doi: 10.1109/TRO.2006.875480
– ident: ref9
  doi: 10.1109/JAS.2020.1003225
– ident: ref7
  doi: 10.2514/1.C032853
– ident: ref34
  doi: 10.1109/TMECH.2014.2358500
– ident: ref10
  doi: 10.1007/s11424-020-9210-0
– ident: ref21
  doi: 10.1109/TSMC.2018.2870999
– ident: ref39
  doi: 10.1017/CBO9780511551154
– ident: ref2
  doi: 10.1007/s11432-019-2764-1
– ident: ref28
  doi: 10.1098/rsif.2017.0224
– ident: ref11
  doi: 10.1109/TSMC.2019.2944999
– ident: ref15
  doi: 10.1007/s11424-018-7182-0
– ident: ref31
  doi: 10.1016/j.compfluid.2014.12.002
– ident: ref33
  doi: 10.1109/TMECH.2020.2987963
– ident: ref35
  doi: 10.1049/PBCE068E
– ident: ref6
  doi: 10.1109/ACCESS.2020.3024793
– ident: ref17
  doi: 10.1016/j.apm.2021.03.040
– ident: ref23
  doi: 10.1109/TRO.2013.2240711
– ident: ref24
  doi: 10.1109/TSMC.2020.2999485
– ident: ref37
  doi: 10.1007/978-3-662-04641-8
– ident: ref1
  doi: 10.1109/LRA.2021.3059626
– ident: ref30
  doi: 10.2514/1.40473
– ident: ref16
  doi: 10.1109/TIE.2019.2931230
– ident: ref4
  doi: 10.1108/AA-06-2019-0103
– ident: ref5
  doi: 10.1109/TNNLS.2016.2516948
– ident: ref8
  doi: 10.1109/TSMC.2021.3104862
– ident: ref12
  doi: 10.1007/s11432-020-3109-x
– year: 2021
  ident: ref19
  article-title: Adaptive fault-tolerant boundary control for a flexible string with unknown dead zone and actuator fault
  publication-title: IEEE Trans Cybern
– ident: ref13
  doi: 10.1109/TIE.2018.2884172
– ident: ref22
  doi: 10.1137/1.9780898718607
– ident: ref26
  doi: 10.1016/j.automatica.2018.10.030
– ident: ref32
  doi: 10.1016/j.ast.2019.105593
– ident: ref14
  doi: 10.1109/TAC.2018.2793940
– ident: ref20
  doi: 10.1109/ACCESS.2019.2946018
– ident: ref38
  doi: 10.1115/1.1399379
– ident: ref25
  doi: 10.1007/s11432-019-2893-y
– ident: ref27
  doi: 10.1016/j.ifacol.2015.12.161
– ident: ref18
  doi: 10.1109/TNNLS.2020.2979600
– ident: ref29
  doi: 10.1016/j.ast.2020.105944
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Snippet This brief mainly considers trajectory tracking and vibration suppression for a 3-D flexible wing. The dynamical model of the flexible wing is regarded as a...
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SubjectTerms 3-D flexible wing
Aerospace electronics
Bending
distributed parameter system
Dynamic models
Finite difference method
Flexible wings
Mathematical models
Partial differential equations
Solid modeling
Tracking control
Trajectory
Trajectory control
Trajectory tracking
trajectory tracking control
Vibration control
Vibrations
Title Trajectory Tracking Control for a Three-Dimensional Flexible Wing
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Volume 30
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