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Finding the better solution of the inverse kinematics problem, with the minimum of the trajectory errors, is very difficult because there are many variable parameters and many redundant solutions. The presented paper show the assisted solving of the inverse kinematics with the goal to minimize the final end-effector trajectory errors, by optimizing the distance between the and-effector final position and the target. All obtained results were been verified by applying the proper forward kinematics virtual LabVIEW instrumentation. The paper tries to answer at the inverse kinematics problem for one known mathematical trajectory and identifying the cinematic errors after the establishing and applying the proper assisted solving method using the Cycle Coordinate Descent Method coupled to the proper Neural Network Sigmoid Bipolar Hyperbolic Tangent (CCDM-SBHTNN). We were shown one complete study case to obtain one circle space trajectory using one arm type robot fixed on the ceiling. The presented method is general and can be used in all other robots types and in all other conventional and unconventional space curves.

Sustainability in the textile and clothing industry is seen as a subject of the major producers, with many brands divulging their concern about protecting people and the environment and adopting an environmental friendly communication approach. For companies in the textile and clothing sector (especially SMEs), the circular economy provides an opportunity to create new profit streams, increase their resilience to volatile input costs, and support their efforts to become completely sustainable and socially responsible. EU textile and clothing industry needs a flexible workforce that can respond to the development and to the globalised market and the need for sustainable design and manufacturing in order to respond to the global demand for sustainable creative products. In this frame, it is important to have suitable tools to train the employees, to prepare them to deal with these new challenges, to enhance their knowledge, and to develop new skills and competencies for this new type of business. This paper introduces a new training toolkit, which will contribute to the training process of the personnel involved in the textile and clothing industry. This toolkit contains e-learning courses in six European languages, mainly various sources (books, video) and activities (quizzes and forums), which are uploaded and available on the Udemy platform.

In the control of the position of the robots systems one of the more important is to assure the minimum errors between the output and the target. All advanced researches in the word propose to use the neural network (NN) and the learning algorithm like Widrow and Hoff, or Levenberg-Marquard by using the least mean square (LMS) of errors and Delta rule, or back propagation training algorithm. Present paper is showing the mathematical model and numerical simulation of some important neurons types used in many applications that require extreme precision and neural network. All assisted researches were made with the owner LabVIEW virtual instrumentation. The research results and virtual LabVIEW instrumentation can be used in many other mechatronics applications.

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Animation in Robotics is one of the most important problem to be solved because with animation will be possible to obtain the best results to control the working space of robots in a space application, to control the Forward and Inverse Kinematics (FK, IK) algorithms, to control the singularity points in applications with one or multiple robots, in different cases: parallel, serial or complex robotic disposure. In the paper are shown the state of art in this field, the general algorithm used for animation and some usual cases for some type of robots like: Gun, Scara, Portal, Arm, Leg, serial, parallel or complex multi robots applications. The paper shown also the constraints for parallel robot structures and how could be animate this types of robots or the human robots like multi robot application. For all these cases were designed some LabVIEW virtual instruments (VI) what work on-line and by using the remote control or the external files or the front panel buttons, we can do some moving in the space of all robot's bodies to validate de FK and IK, to construct the parallel robot structure. The used algorithms, the cases that were studied, the applied methods and cases of animation open the way to optimal solve the complex problems in robotics.Index Terms-Forward kinematics, inverse kinematics, animation algorithms, virtual instrumentation, parallel robot structure, multi robot applications, human robots.