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Wyszukujesz frazę "Jacobian inverse" wg kryterium: Temat


Wyświetlanie 1-4 z 4
Tytuł:
On dynamically consistent Jacobian inverse for non-holonomic robotic systems
Autorzy:
Ratajczak, J.
Tchoń, K.
Powiązania:
https://bibliotekanauki.pl/articles/229326.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
non-holonomic system
motion
Jacobian inverse
dynamic consistency
metric
motion planning
Opis:
This paper presents the dynamically consistent Jacobian inverse for non-holonomic robotic system, and its application to solving the motion planning problem. The system’s kinematics are represented by a driftless control system, and defined in terms of its input-output map in accordance with the endogenous configuration space approach. The dynamically consistent Jacobian inverse (DCJI) has been introduced by means of a Riemannian metric in the endogenous configuration space, exploiting the reduced inertia matrix of the system’s dynamics. The consistency condition is formulated as the commutativity property of a diagram of maps. Singular configurations of DCJI are studied, and shown to coincide with the kinematic singularities. A parametric form of DCJI is derived, and used for solving example motion planning problems for the trident snake mobile robot. Some advantages in performance of DCJI in comparison to the Jacobian pseudoinverse are discovered.
Źródło:
Archives of Control Sciences; 2017, 27, 4; 555-573
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation of Jacobian inverse kinematics algorithms
Autorzy:
Tchoń, K.
Karpińska, J.
Janiak, M.
Powiązania:
https://bibliotekanauki.pl/articles/929992.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
kinematyka odwrotna
pseudoodwrotny Jacobian
aproksymacja
robot inverse kinematics
extended Jacobian
Jacobian pseudoinverse
approximation
Opis:
This paper addresses the synthesis problem of Jacobian inverse kinematics algorithms for stationary manipulators and mobile robots. Special attention is paid to the design of extended Jacobian algorithms that approximate the Jacobian pseudoinverse algorithm. Two approaches to the approximation problem are developed: one relies on variational calculus, the other is differential geometric. Example designs of the extended Jacobian inverse kinematics algorithm for 3DOF manipulators as well as for the unicycle mobile robot illustrate the theoretical concepts.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 4; 519-531
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of inverse kinematics algorithms: extended Jacobian approximation of the dynamically consistent Jacobian inverse
Autorzy:
Ratajczak, J.
Powiązania:
https://bibliotekanauki.pl/articles/229524.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
redundant manipulator
inverse kinematics
Jacobian
approximation
Opis:
The paper presents the approximation problem of the inverse kinematics algorithms for the redundant manipulators. We introduce the approximation of the dynamically consistent Jacobian by the extended Jacobian. In order to do that, we formulate the approximation problem and suitably defined approximation error. By the minimization of this error over a certain region we can design an extended Jacobian inverse which will be close to the dynamically consistent Jacobian inverse. To solve the approximation problem we use the Cholesky decomposition and the Ritz method. The computational example illustrates the theory.
Źródło:
Archives of Control Sciences; 2015, 25, 1; 35-50
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A comparison of Jacobian-based methods of inverse kinematics for serial robot manipulators
Autorzy:
Dulęba, I.
Opałka, M.
Powiązania:
https://bibliotekanauki.pl/articles/330786.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
serial manipulator
inverse kinematics
Jacobian method
comparison
applications
manipulator szeregowy
kinematyka odwrotna
metoda Jacobiego
porównanie
zastosowania
Opis:
The objective of this paper is to present and make a comparative study of several inverse kinematics methods for serial manipulators, based on the Jacobian matrix. Besides the well-known Jacobian transpose and Jacobian pseudo-inverse methods, three others, borrowed from numerical analysis, are presented. Among them, two approximation methods avoid the explicit manipulability matrix inversion, while the third one is a slightly modified version of the Levenberg–Marquardt method (mLM). Their comparison is based on the evaluation of a short distance approaching the goal point and on their computational complexity. As the reference method, the Jacobian pseudo-inverse is utilized. Simulation results reveal that the modified Levenberg–Marquardt method is promising, while the first order approximation method is reliable and requires mild computational costs. Some hints are formulated concerning the application of Jacobian-based methods in practice.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 373-382
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-4 z 4

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