Trajectory tracking control for wheeled mobile robots based on nonlinear disturbance observer with extended Kalman filter

This article tackles the trajectory tracking problem for a non-holonomic wheeled mobile robot (WMR) with non-random and random disturbances. A nonlinear disturbance observer with extended Kalman filter (NDEKF) is designed to observe the velocity and the non-random disturbance of the WMR. An error fe...

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Published inJournal of the Franklin Institute Vol. 357; no. 13; pp. 8491 - 8507
Main Authors Li, Li, Wang, Tianqi, Xia, Yuanqing, Zhou, Ning
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.09.2020
Elsevier Science Ltd
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Abstract This article tackles the trajectory tracking problem for a non-holonomic wheeled mobile robot (WMR) with non-random and random disturbances. A nonlinear disturbance observer with extended Kalman filter (NDEKF) is designed to observe the velocity and the non-random disturbance of the WMR. An error feedback controller and a kinematic controller are proposed to achieve the disturbance compensation and perfect position tracking. The mean square exponential boundedness for the estimation error of NDEKF is presented. Applying the Lyapunov stability theory, it is proved that the velocity and position tracking error of the double closed-loop system are uniformly ultimately asymptotically stable. Finally, numerical simulations demonstrate the validity of the presented methodology.
AbstractList This article tackles the trajectory tracking problem for a non-holonomic wheeled mobile robot (WMR) with non-random and random disturbances. A nonlinear disturbance observer with extended Kalman filter (NDEKF) is designed to observe the velocity and the non-random disturbance of the WMR. An error feedback controller and a kinematic controller are proposed to achieve the disturbance compensation and perfect position tracking. The mean square exponential boundedness for the estimation error of NDEKF is presented. Applying the Lyapunov stability theory, it is proved that the velocity and position tracking error of the double closed-loop system are uniformly ultimately asymptotically stable. Finally, numerical simulations demonstrate the validity of the presented methodology.
Author Xia, Yuanqing
Li, Li
Zhou, Ning
Wang, Tianqi
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  organization: School of Automation, Beijing Institute of Technology, Beijing 100081, China
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  givenname: Ning
  surname: Zhou
  fullname: Zhou, Ning
  email: zhouning2010@gmail.com
  organization: School of Electrical Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, China
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Snippet This article tackles the trajectory tracking problem for a non-holonomic wheeled mobile robot (WMR) with non-random and random disturbances. A nonlinear...
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SubjectTerms Disturbance observers
Error feedback
Extended Kalman filter
Feedback control
Kalman filters
Mean square errors
Robot control
Robots
Tracking control
Tracking control systems
Tracking errors
Tracking problem
Trajectory control
Velocity
Title Trajectory tracking control for wheeled mobile robots based on nonlinear disturbance observer with extended Kalman filter
URI https://dx.doi.org/10.1016/j.jfranklin.2020.04.043
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Volume 357
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