Observer-Based Sliding Mode Control for Path Tracking of a Spherical Robot

Due to their complicated dynamics and underactuated nature, spherical robots require advanced control methods to reveal all their manoeuvrability features. This paper considers the path tracking control problem of a spherical robot equipped with a 2-DOF pendulum. The pendulum has two input torques t...

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Main Authors: Majid Taheri Andani, Zahra Ramezani, Saeed Moazami, Jinde Cao, Mohammad Mehdi Arefi, Hassan Zargarzadeh
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/3129398
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author Majid Taheri Andani
Zahra Ramezani
Saeed Moazami
Jinde Cao
Mohammad Mehdi Arefi
Hassan Zargarzadeh
author_facet Majid Taheri Andani
Zahra Ramezani
Saeed Moazami
Jinde Cao
Mohammad Mehdi Arefi
Hassan Zargarzadeh
author_sort Majid Taheri Andani
collection DOAJ
description Due to their complicated dynamics and underactuated nature, spherical robots require advanced control methods to reveal all their manoeuvrability features. This paper considers the path tracking control problem of a spherical robot equipped with a 2-DOF pendulum. The pendulum has two input torques that allow it to take angles about the robot’s transverse and longitudinal axes. Due to mechanical technicalities, it is assumed that these angles are immeasurable. First, a neural network observer is designed to estimate the pendulum angles. Then a modified sliding mode controller is proposed for the robot’s tracking control in the presence of uncertainties. Next, the Lyapunov theorem is utilized to analyse the overall stability of the proposed scheme, including the convergence of the observer estimation and the trajectory tracking errors. Finally, simulation results are provided to indicate the effectiveness of the proposed method in comparison with the other available control approaches.
format Article
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institution Kabale University
issn 1076-2787
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language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-184f282f6eb54c27a070be1574aa83332025-02-03T01:10:17ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/31293983129398Observer-Based Sliding Mode Control for Path Tracking of a Spherical RobotMajid Taheri Andani0Zahra Ramezani1Saeed Moazami2Jinde Cao3Mohammad Mehdi Arefi4Hassan Zargarzadeh5Phillip M. Drayer Electrical Engineering Department, Lamar University, Beaumont, TX, USAElectrical Engineering Department, Iran University of Science and Technology, Tehran, IranPhillip M. Drayer Electrical Engineering Department, Lamar University, Beaumont, TX, USASchool of Mathematics, Southeast University, Nanjing 210096, ChinaDepartment of Power and Control Engineering, School of Electrical and Computer Engineering, Shiraz University, Shiraz 71348-51154, IranPhillip M. Drayer Electrical Engineering Department, Lamar University, Beaumont, TX, USADue to their complicated dynamics and underactuated nature, spherical robots require advanced control methods to reveal all their manoeuvrability features. This paper considers the path tracking control problem of a spherical robot equipped with a 2-DOF pendulum. The pendulum has two input torques that allow it to take angles about the robot’s transverse and longitudinal axes. Due to mechanical technicalities, it is assumed that these angles are immeasurable. First, a neural network observer is designed to estimate the pendulum angles. Then a modified sliding mode controller is proposed for the robot’s tracking control in the presence of uncertainties. Next, the Lyapunov theorem is utilized to analyse the overall stability of the proposed scheme, including the convergence of the observer estimation and the trajectory tracking errors. Finally, simulation results are provided to indicate the effectiveness of the proposed method in comparison with the other available control approaches.http://dx.doi.org/10.1155/2018/3129398
spellingShingle Majid Taheri Andani
Zahra Ramezani
Saeed Moazami
Jinde Cao
Mohammad Mehdi Arefi
Hassan Zargarzadeh
Observer-Based Sliding Mode Control for Path Tracking of a Spherical Robot
Complexity
title Observer-Based Sliding Mode Control for Path Tracking of a Spherical Robot
title_full Observer-Based Sliding Mode Control for Path Tracking of a Spherical Robot
title_fullStr Observer-Based Sliding Mode Control for Path Tracking of a Spherical Robot
title_full_unstemmed Observer-Based Sliding Mode Control for Path Tracking of a Spherical Robot
title_short Observer-Based Sliding Mode Control for Path Tracking of a Spherical Robot
title_sort observer based sliding mode control for path tracking of a spherical robot
url http://dx.doi.org/10.1155/2018/3129398
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AT jindecao observerbasedslidingmodecontrolforpathtrackingofasphericalrobot
AT mohammadmehdiarefi observerbasedslidingmodecontrolforpathtrackingofasphericalrobot
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