№74-15
Development of a spatial orientation model for the actuator of a mechatronic system
S. Khudoliiy1, S. Fedoriachenko1, K. Ziborov1, D. Harkavenko1, I. Koshelenko1, I. Lutsenko1
1Dnipro University of Technology, Dnipro, Ukraine
Coll.res.pap.nat.min.univ. 2023, 74:180-191
https://doi.org/10.33271/crpnmu/74.180
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ABSTRACT
Purpose. Development of a control system for a mechatronic system, taking into account the geometric solution of the inverse kinematics problem.
The methods. The research was based on the principles of theoretical and applied mechanics, as well as the Denavit-Hartenberg transformation model. The formation of graphical computational models and kinematic diagrams simplified the development of the mathematical model of the dynamic system without considering the forces acting on the mechanism links. The possibility of using matrix transformations to simplify the search for generalized coordinates and transition to the local disposition of each link was explored for further integration of the obtained results into automation and control systems.
Findings. The obtained results, determining the trajectory of the gripper using inverse kinematics models, allowed the development of algorithms for determining the position of mechanism links with the possibility of software implementation of the control system. Identifying patterns for determining accurate position coordinates by the matrix method allows the application of open-source software for real-time position calculations.
The originality. The use of modern technologies for visual assessment of the external environment and coordinating control impulses of the executive body drive was first achieved based on the mathematical model of the inverse kinematics of a multi-link mechanism. This automated the determination of local coordinates for each link within its degrees of freedom and algorithmized this process. Combining the mathematical models of mechanism kinematics and the matrix form of coordinate search allows investigating the influence of the displacement of the i-th link of the mechatronic technical complex on the overall system, considering the acting force systems and the specified spatial orientation of both the executive body and intermediate links.
Practical implementation. The implementation of obtained kinematic models using the matrix method enables the software realization of algorithms for searching the coordinates of the i-th mechanism link, automating the control process with the task of final positions, determining the level of integral error during the displacement of the initial link, and providing the possibility of programming autonomous mechatronic systems with open-source code. As a result, the introduction of semi or fully autonomous technical complexes will automate technological processes in various industries.
Keywords: mechatronic system, collaborative robotics, executive body, segmentation method.
References
1. Ziborov, K., Fedoriachenko, S., Beshta, O., Lutsenko, I., Malienko, A., & Khudoliiy, S. (2020). Kinematic parameters of shovel excavator substantiation. Collection of Research Papers of the National Mining University, 62, 156–167.
https://doi.org/10.33271/crpnmu/62.156
2. Malienko, A., Diachenko, G., Lutsenko, I., Fedoriachenko, S., Ziborov, K., & Koshelenko, I. (2021). Energy efficient structure and hardware of bucket excavator subsystem and hydraulic control system. Collection of Research Papers of the National Mining University, 67, 165–178.
https://doi.org/10.33271/crpnmu/67.165
3. Akundi, A., & Reyna, M. (2021). A Machine Vision Based Automated Quality Control System for Product Dimensional Analysis. Procedia Computer Science, 185, 127–134.
https://doi.org/10.1016/j.procs.2021.05.014
4. Kerschen, G., Worden, K., Vakakis, A.F., & Golinval, J.-C. (2006). Past, present and future of nonlinear system identification in structural dynamics. Mechanical Systems and Signal Processing, 20(3), 505–592.
https://doi.org/10.1016/j.ymssp.2005.04.008
5. Aziukovskyi, O., Harkavenko, D., Gristchak, V., Ziborov, K., Fedoriachenko, S., & Odnoral, M. (2023). Analytical approach to solving the problems of nonlinear dynamics of systems with time-varying parameters under the conditions of the external environment reaction. Collection of Research Papers of the National Mining University, 72, 186–193.
https://doi.org/10.33271/crpnmu/72.186
