Finite-Time Stabilization of Dynamic Nonholonomic Wheeled Mobile Robots with Parameter Uncertainties

The finite-time stabilization problem of dynamic nonholonomic wheeled mobile robots with parameter uncertainties is considered for the first time. By the equivalent coordinate transformation of states, an uncertain 5-order chained form system can be obtained, based on which a discontinuous switching...

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Main Authors: Hua Chen, Wen Chen, Chaoli Wang, Dongkai Zhang, Binwu Zhang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/595849
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author Hua Chen
Wen Chen
Chaoli Wang
Dongkai Zhang
Binwu Zhang
author_facet Hua Chen
Wen Chen
Chaoli Wang
Dongkai Zhang
Binwu Zhang
author_sort Hua Chen
collection DOAJ
description The finite-time stabilization problem of dynamic nonholonomic wheeled mobile robots with parameter uncertainties is considered for the first time. By the equivalent coordinate transformation of states, an uncertain 5-order chained form system can be obtained, based on which a discontinuous switching controller is proposed such that all the states of the robots can be stabilized to the origin equilibrium point within any given settling time. The systematic strategy combines the theory of finite-time stability with a new switching control design method. Finally, the simulation result illustrates the effectiveness of the proposed controller.
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id doaj-art-5d94fc223ea2497487cbd4d24083421c
institution Kabale University
issn 0972-6802
1758-4965
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces and Applications
spelling doaj-art-5d94fc223ea2497487cbd4d24083421c2025-02-03T05:46:40ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/595849595849Finite-Time Stabilization of Dynamic Nonholonomic Wheeled Mobile Robots with Parameter UncertaintiesHua Chen0Wen Chen1Chaoli Wang2Dongkai Zhang3Binwu Zhang4Mathematics and Physics Department, Hohai University, Changzhou Campus, Changzhou 213022, ChinaCollege of Mechanics and Materials, Hohai University, Nanjing 210098, ChinaDepartment of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, ChinaDepartment of Mathematics, Shijiazhuang University, Shijiazhuang 050035, ChinaMathematics and Physics Department, Hohai University, Changzhou Campus, Changzhou 213022, ChinaThe finite-time stabilization problem of dynamic nonholonomic wheeled mobile robots with parameter uncertainties is considered for the first time. By the equivalent coordinate transformation of states, an uncertain 5-order chained form system can be obtained, based on which a discontinuous switching controller is proposed such that all the states of the robots can be stabilized to the origin equilibrium point within any given settling time. The systematic strategy combines the theory of finite-time stability with a new switching control design method. Finally, the simulation result illustrates the effectiveness of the proposed controller.http://dx.doi.org/10.1155/2013/595849
spellingShingle Hua Chen
Wen Chen
Chaoli Wang
Dongkai Zhang
Binwu Zhang
Finite-Time Stabilization of Dynamic Nonholonomic Wheeled Mobile Robots with Parameter Uncertainties
Journal of Function Spaces and Applications
title Finite-Time Stabilization of Dynamic Nonholonomic Wheeled Mobile Robots with Parameter Uncertainties
title_full Finite-Time Stabilization of Dynamic Nonholonomic Wheeled Mobile Robots with Parameter Uncertainties
title_fullStr Finite-Time Stabilization of Dynamic Nonholonomic Wheeled Mobile Robots with Parameter Uncertainties
title_full_unstemmed Finite-Time Stabilization of Dynamic Nonholonomic Wheeled Mobile Robots with Parameter Uncertainties
title_short Finite-Time Stabilization of Dynamic Nonholonomic Wheeled Mobile Robots with Parameter Uncertainties
title_sort finite time stabilization of dynamic nonholonomic wheeled mobile robots with parameter uncertainties
url http://dx.doi.org/10.1155/2013/595849
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AT chaoliwang finitetimestabilizationofdynamicnonholonomicwheeledmobilerobotswithparameteruncertainties
AT dongkaizhang finitetimestabilizationofdynamicnonholonomicwheeledmobilerobotswithparameteruncertainties
AT binwuzhang finitetimestabilizationofdynamicnonholonomicwheeledmobilerobotswithparameteruncertainties