Posture regulation for unicycle-like robots with prescribed performance guarantees

This study aims to address the regulation problem for the unicycle model while guaranteeing prescribed performance. Different controllers based either on polar coordinates or time-varying laws are proposed. The main contribution is the combination of the standard control laws that allow to achieve p...

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Published inIET control theory & applications Vol. 9; no. 2; pp. 192 - 202
Main Authors Zambelli, Martina, Karayiannidis, Yiannis, Dimarogonas, Dimos V
Format Journal Article
LanguageEnglish
Published The Institution of Engineering and Technology 19.01.2015
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ISSN1751-8644
1751-8652
1751-8652
DOI10.1049/iet-cta.2013.1112

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Abstract This study aims to address the regulation problem for the unicycle model while guaranteeing prescribed performance. Different controllers based either on polar coordinates or time-varying laws are proposed. The main contribution is the combination of the standard control laws that allow to achieve posture regulation for the unicycle, with the prescribed performance control technique that imposes time-varying constraints to the system coordinates. To apply prescribed performance to the unicycle system which is subject to a non-holonomic constraint, the authors design a specific transformation function that is instrumental in the proof of asymptotic convergence with prescribed guaranties.
AbstractList This study aims to address the regulation problem for the unicycle model while guaranteeing prescribed performance. Different controllers based either on polar coordinates or time-varying laws are proposed. The main contribution is the combination of the standard control laws that allow to achieve posture regulation for the unicycle, with the prescribed performance control technique that imposes time-varying constraints to the system coordinates. To apply prescribed performance to the unicycle system which is subject to a non-holonomic constraint, the authors design a specific transformation function that is instrumental in the proof of asymptotic convergence with prescribed guaranties.
Author Zambelli, Martina
Dimarogonas, Dimos V
Karayiannidis, Yiannis
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https://research.chalmers.se/publication/231024$$DView record from Swedish Publication Index
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Issue 2
Keywords time-varying systems
polar coordinates
time-varying constraints
unicycle like robots
asymptotic convergence
unicycle model
time-varying laws
prescribed performance guarantees
nonholonomic constraint
mobile robots
asymptotic stability
posture regulation
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– ident: e_1_2_7_3_1
  doi: 10.1016/0167-6911(95)00041-0
– ident: e_1_2_7_8_1
  doi: 10.1109/TIE.2013.2287222
– ident: e_1_2_7_25_1
  doi: 10.1109/TRO.2009.2014494
– ident: e_1_2_7_9_1
  doi: 10.1109/9.362899
– ident: e_1_2_7_17_1
  doi: 10.1109/9.173153
– volume: 2
  start-page: 1233
  year: 2000
  ident: e_1_2_7_20_1
  article-title: Nonholonomic motion planning for mobile manipulators
  publication-title: IEEE Int. Conf. Robot. Autom. ICRA’00
– ident: e_1_2_7_22_1
  doi: 10.1007/978-3-7091-4362-9_7
SSID ssj0055645
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Snippet This study aims to address the regulation problem for the unicycle model while guaranteeing prescribed performance. Different controllers based either on polar...
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SubjectTerms asymptotic convergence
Asymptotic properties
asymptotic stability
Control
Control systems
Convergence
Laws
Mathematical models
mobile robots
nonholonomic constraint
polar coordinates
posture regulation
prescribed performance guarantees
Robots
time-varying constraints
time-varying laws
time-varying systems
Transformations (mathematics)
unicycle like robots
unicycle model
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  providerName: Wiley-Blackwell
Title Posture regulation for unicycle-like robots with prescribed performance guarantees
URI http://digital-library.theiet.org/content/journals/10.1049/iet-cta.2013.1112
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https://research.chalmers.se/publication/231024
Volume 9
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