Model Predictive Path Following Control without terminal constraints for holonomic mobile robots

In this paper, a model predictive path following control (MPFC) for holonomic mobile robots is considered. The MPFC is aimed to control a mobile robot to follow a geometric path, where the time evolution of the path parameterization is not fixed a priori. Instead, the time evolution is considered as...

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Published inControl engineering practice Vol. 132; p. 105406
Main Authors Cenerini, Joseph, Mehrez, Mohamed W., Han, Jeong-woo, Jeon, Soo, Melek, William
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2023
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Online AccessGet full text
ISSN0967-0661
1873-6939
DOI10.1016/j.conengprac.2022.105406

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Abstract In this paper, a model predictive path following control (MPFC) for holonomic mobile robots is considered. The MPFC is aimed to control a mobile robot to follow a geometric path, where the time evolution of the path parameterization is not fixed a priori. Instead, the time evolution is considered as an extra degree of freedom of the controller. Contrary to previous works, in this study, the closed-loop asymptotic stability of holonomic mobile robots under MPFC without terminal constraints or costs is rigorously proven and a stabilizing-horizon length is calculated. The analysis is based on verifying the cost-controllability assumption by deriving an upper bound of the MPFC value function with a finite prediction horizon. Then, using this bound, the length of a stabilizing prediction horizon is calculated. The analysis is performed in the discrete time settings and theoretical results are verified with numerical simulations as well as implementations on an actual mobile robot. [Display omitted] •Closed-loop asymptotic stability of holonomic mobile robots under MPFC is rigorously proven.•Stability proof is based on verifying the cost-controllability assumption by deriving an upper bound of the MPFC value function with a finite prediction-horizon.•Numerical and experimental verification of the theoritical findings.
AbstractList In this paper, a model predictive path following control (MPFC) for holonomic mobile robots is considered. The MPFC is aimed to control a mobile robot to follow a geometric path, where the time evolution of the path parameterization is not fixed a priori. Instead, the time evolution is considered as an extra degree of freedom of the controller. Contrary to previous works, in this study, the closed-loop asymptotic stability of holonomic mobile robots under MPFC without terminal constraints or costs is rigorously proven and a stabilizing-horizon length is calculated. The analysis is based on verifying the cost-controllability assumption by deriving an upper bound of the MPFC value function with a finite prediction horizon. Then, using this bound, the length of a stabilizing prediction horizon is calculated. The analysis is performed in the discrete time settings and theoretical results are verified with numerical simulations as well as implementations on an actual mobile robot. [Display omitted] •Closed-loop asymptotic stability of holonomic mobile robots under MPFC is rigorously proven.•Stability proof is based on verifying the cost-controllability assumption by deriving an upper bound of the MPFC value function with a finite prediction-horizon.•Numerical and experimental verification of the theoritical findings.
ArticleNumber 105406
Author Melek, William
Mehrez, Mohamed W.
Jeon, Soo
Cenerini, Joseph
Han, Jeong-woo
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Keywords Model predictive control
Holonomic mobile robot
Stability analysis
Path following control
Language English
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Snippet In this paper, a model predictive path following control (MPFC) for holonomic mobile robots is considered. The MPFC is aimed to control a mobile robot to...
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StartPage 105406
SubjectTerms Holonomic mobile robot
Model predictive control
Path following control
Stability analysis
Title Model Predictive Path Following Control without terminal constraints for holonomic mobile robots
URI https://dx.doi.org/10.1016/j.conengprac.2022.105406
Volume 132
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