DEVELOPMENT OF A METHOD FOR PLANNING THE MOVEMENT OF A GRIPPING DEVICE FOR A 3-LINK COLLABORATIVE ROBOT MANIPULATOR


DOI:
https://doi.org/10.5281/zenodo.16617246Keywords:
Collaborative Robot, Trajectory Planning, Potential Field, Obstacle Avoidance, Gripping Device, Robot Manipulator, Artificial Forces, Modeling, Motion Dynamics, Safe Navigation, Mathematical Modeling, Artificial Potential Fields.Abstract
In the modern conditions of industrial automation development and the implementation of Industry 4.0 elements, the problem of safe and effective interaction of collaborative robot manipulators with the environment, including humans, other technical objects and possible obstacles, is of particular relevance. The task of planning the trajectory of the gripping device in conditions of limited workspace, the presence of obstacles and variable production conditions is especially critical, which requires the development of adaptive navigation methods. Given the need to ensure a high level of safety, accuracy and adaptability in the process of controlling robotic systems, the use of artificial intelligence methods and mathematical models capable of providing flexible response to changes in the spatial configuration of the environment is relevant. This article proposes a method for planning the movement and avoiding obstacles of the gripping device of a three-link collaborative robot manipulator based on the concept of artificial potential fields (APF).
The aim of the research is to create mathematical and algorithmic support for constructing the trajectory of a robotic gripping device, which allows for effective avoidance of collisions with obstacles, while ensuring accurate achievement of the target point in space. The subject of the research is the dynamic behavior of a three-link collaborative manipulator in a three-dimensional working environment taking into account the existing static obstacles. The method of artificial potential fields was used as the main research method, in which the attractive force to the target and the repulsive forces from obstacles are formed on the basis of potential functions. To ensure physical reliability and limit the velocity vector, methods of normalizing the velocity and limiting the space to specified limits were used. As part of the modeling, a system of equations of motion was constructed that takes into account the mass of the system, maximum speed and time step of integration.
The results of the numerical experiment demonstrated that the developed method provides smooth and safe passage of the trajectory without violating the boundaries of the working area, while the trajectory effectively bypasses obstacles in space and reaches the target point. Visualization of the trajectory in the form of a three-dimensional graph confirms the correctness of the algorithm, which can be applied in practical systems of industrial and service robots. The proposed approach can be the basis for further development of adaptive motion control systems in a changing environment and the use of sensor information fusion methods for processing moving or uncertain obstacles. Thus, the technique can be integrated into real robotic systems operating in cooperation with a person, while ensuring compliance with the principles of safety and efficiency
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