Non-Linear Prediction-Based Trajectory Tracking for Non-Holonomic Mobile Robots

This work addresses the trajectory tracking problem for a non-holonomic differential drive mobile robot with a constant time delay <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula> at the input signal. To compensate for the adverse effects...

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Main Authors: Julio A. Baez-Hernandez, Martin Velasco-Villa, Sabine Mondie
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10309126/
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author Julio A. Baez-Hernandez
Martin Velasco-Villa
Sabine Mondie
author_facet Julio A. Baez-Hernandez
Martin Velasco-Villa
Sabine Mondie
author_sort Julio A. Baez-Hernandez
collection DOAJ
description This work addresses the trajectory tracking problem for a non-holonomic differential drive mobile robot with a constant time delay <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula> at the input signal. To compensate for the adverse effects of the input time delay on the vehicle, a non-linear prediction-observer scheme based on a sub-prediction strategy that asymptotically estimates the future values of the state, <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula> units of time ahead was introduced, and, thanks to the characteristics of the system, a condition which depends only on the gains of the predictor-observer is obtained for the convergence of the predicted states. Non-linear feedback based on the estimated future state is proposed to tackle the trajectory tracking problem of a mobile robot. The closed-loop system describing the prediction strategy and trajectory tracking solution was formally analyzed, showing the asymptotic convergence of the prediction and tracking errors to the origin. Numerical and real-time experiments were performed to evaluate the prediction-based control scheme, which show adequate performance.
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spelling doaj.art-c0b5d1801bf74768aa05698c847fdf952023-11-14T00:01:12ZengIEEEIEEE Access2169-35362023-01-011112426512427710.1109/ACCESS.2023.333014510309126Non-Linear Prediction-Based Trajectory Tracking for Non-Holonomic Mobile RobotsJulio A. Baez-Hernandez0https://orcid.org/0009-0009-1434-5935Martin Velasco-Villa1https://orcid.org/0000-0003-2953-0964Sabine Mondie2https://orcid.org/0000-0002-0968-1899Electrical Engineering Department, Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico City, MexicoElectrical Engineering Department, Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico City, MexicoAutomatic Control Department, Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico City, MexicoThis work addresses the trajectory tracking problem for a non-holonomic differential drive mobile robot with a constant time delay <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula> at the input signal. To compensate for the adverse effects of the input time delay on the vehicle, a non-linear prediction-observer scheme based on a sub-prediction strategy that asymptotically estimates the future values of the state, <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula> units of time ahead was introduced, and, thanks to the characteristics of the system, a condition which depends only on the gains of the predictor-observer is obtained for the convergence of the predicted states. Non-linear feedback based on the estimated future state is proposed to tackle the trajectory tracking problem of a mobile robot. The closed-loop system describing the prediction strategy and trajectory tracking solution was formally analyzed, showing the asymptotic convergence of the prediction and tracking errors to the origin. Numerical and real-time experiments were performed to evaluate the prediction-based control scheme, which show adequate performance.https://ieeexplore.ieee.org/document/10309126/Non-holonomic mobile robotnon-linear predictiontime delaystrajectory tracking
spellingShingle Julio A. Baez-Hernandez
Martin Velasco-Villa
Sabine Mondie
Non-Linear Prediction-Based Trajectory Tracking for Non-Holonomic Mobile Robots
IEEE Access
Non-holonomic mobile robot
non-linear prediction
time delays
trajectory tracking
title Non-Linear Prediction-Based Trajectory Tracking for Non-Holonomic Mobile Robots
title_full Non-Linear Prediction-Based Trajectory Tracking for Non-Holonomic Mobile Robots
title_fullStr Non-Linear Prediction-Based Trajectory Tracking for Non-Holonomic Mobile Robots
title_full_unstemmed Non-Linear Prediction-Based Trajectory Tracking for Non-Holonomic Mobile Robots
title_short Non-Linear Prediction-Based Trajectory Tracking for Non-Holonomic Mobile Robots
title_sort non linear prediction based trajectory tracking for non holonomic mobile robots
topic Non-holonomic mobile robot
non-linear prediction
time delays
trajectory tracking
url https://ieeexplore.ieee.org/document/10309126/
work_keys_str_mv AT julioabaezhernandez nonlinearpredictionbasedtrajectorytrackingfornonholonomicmobilerobots
AT martinvelascovilla nonlinearpredictionbasedtrajectorytrackingfornonholonomicmobilerobots
AT sabinemondie nonlinearpredictionbasedtrajectorytrackingfornonholonomicmobilerobots