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Abstract

This paper deals with two control algorithms which utilize learning of their models’ parameters. An adaptive and artificial neural network control techniques are described and compared. Both control algorithms are implemented in MATLAB and Simulink environment, and they are used in the simulation of a postion control of the LWR 4+ manipulator subjected to unknown disturbances. The results, showing the better performance of the artificial neural network controller, are shown. Advantages and disadvantages of both controllers are discussed. The usefulness of the learning algorithms for the control of LWR 4+ robots is discussed. Preliminary experiments dealing with dynamic properties of the two LWR 4+ robots are reported.

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Authors and Affiliations

Łukasz Woliński
1

  1. Institute of Aeronautics and Applied Mechanics, Warsaw University of Technology, Poland.
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Abstract

The primary importance of the paper is the application of the efficient formulation for the simulation of open-loop lightweight robotic manipulator. The framework employed in the paper makes use of the spatial operator algebra and the associated equations are expressed in joint space. This compact representation of the manipulator dynamics makes it possible to solve the robot forward and inverse dynamics problems in a recursive and fast manner. In the current form, the presented algorithm can be applied for the dynamics simulation of an open-loop chain system possessing any number of joints. Specifically, the formulation has been successfully applied for the analysis of the 7DOF KUKA LWR robot. Results from a number of test cases for the robot demonstrate the verification of the calculations.

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Authors and Affiliations

Łukasz Woliński
Paweł Malczyk

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Abstract

A method of solving the inverse kinematics problem for a humanoid robot modeled as a tree-shaped manipulator is presented. Robot trajectory consists of a set of trajectories of the characteristic points (the robot’s center of mass, origins of feet and hands frames) in the discrete time domain. The description of motion in the frame associated with the supporting foot allows one to represent the robot as a composite of several serial open-loop redundant manipulators. Stability during the motion is provided by the trajectory of the robot’s center of mass which ensures that the zero moment point criterion is fulfilled. Inverse kinematics solution is performed offline using the redundancy resolution at the velocity level. The proposed method utilizes robot’s redundancy to fulfill joint position limits and to reduce gravity-related joint torques. The method have been tested in simulations and experiments on a humanoid robot Melson, and results are presented.
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Authors and Affiliations

Kacper Mikołajczyk
1
Maksymilian Szumowski
1
Łukasz Woliński
1
ORCID: ORCID

  1. Faculty of Power and Aeronautical Engineering, Warsaw University of Technology, Warsaw, Poland

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