Comparison of curvilinear parametrization methods and avoidance of orthogonal singularities in the path following task

• Autorzy: Dyba Filip , Mazur Alicja

Identyfikatory

DOI

10.14313/JAMRIS/3‐2023/22

• Języki publikacji: EN

Abstrakty

EN

In this paper applications of curvilinear parametrizations (Serret–Frenet, Bishop) in the path following task have been considered. The parametrizations allow one to derive manipulator’s equations with respect to a path. The full mathematical model of the path following task involves two groups of equations, i.e., the dynamics of the manipulator and the equations obtained from the parametrization method, connected in the cascaded system. Based on those relations two path following algorithms have been designed according to the backstepping integrator method (dedicated to the cascaded systems). Depending on the chosen parametrization method the algorithms differ in requirements and performance. In the paper an in-depth analysis comparing features of both considered methods has been presented. The parametric description of a path requires projection of a robot on the path. In this article the orthogonal projection has been taken into account. It introduces a singularity in the robot description. We have proposed a new form of the orthogonal projection constraint which allows a robot to not only approach the path, but also move along it. This novelty design is an important enhancement of the algorithms used so far. The problem of partially known dynamic parameters of a robot has also been addressed. In this paper, we have shown how to apply an adaptive controller to the path following task. Theoretical considerations have been verified with a simulation study conducted for a holonomic stationary manipulator. Achieved results emphasized why it is strongly recommended to use the algorithm version with the orthogonal singularity outside the path. Moreover, the comparative analysis results may be used to select the best curvilinear parametrization method according to the considered task requirements.

Słowa kluczowe

EN

path following; Serret-Frenet parametrization; Bishop parametrization; orthogonal projection; backstepping algorithm; holonomic manipulator; singularity

• Wydawca: Łukasiewicz Industrial Research Institute for Automation and Measurements PIAP
• Czasopismo: Journal of Automation Mobile Robotics and Intelligent Systems
• Rocznik: 2023
• Tom: Vol. 17, No. 3
• Strony: 46--64
• Opis fizyczny: Bibliogr. 34 poz., rys.

Twórcy

autor

Dyba Filip

• Department of Cybernetics and Robotics, Faculty of Electronics, Photonics and Microsystems, Wrocław University of Science and Technology, Janiszewskiego Street 11/17, Wrocław, 50-372, Poland

• https://orcid.org/0000-0001-9202-519X

autor

Mazur Alicja

• Department of Cybernetics and Robotics, Faculty of Electronics, Photonics and Microsystems, Wrocław University of Science and Technology, Janiszewskiego Street 11/17, Wrocław, 50-372, Poland

• https://orcid.org/0000-0003-2321-6579

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).