Ceron-Morales, Israel | Instituto Tecnológico Superior De Poza Rica |
Resumen: The Fractional-Order Calculus is applied to the dynamic-model of robotic arms of 1, 2 and 3 Degree-of-freedom. In general the arm robots present error in steady statem, this error is explained due to nonlinear effects in friction, however this document proposes an explanation based on the dynamic-model of fractional-order, in addition the control algorithm implemented is the fractional-order proportional-derivative (PD) control, both the dynamic model and the fractional order control are implemented in an STM32L476RG development board, using the analog outputs the signals are sent to an oscilloscope and a series of points are displayed that draw the letters “H” “O” “L” “A”. The results obtained are concordant with the expected in the theoretical objective of this work.
¿Cómo citar?
Ceron-Morales. Israel. Fractional Order Model and Factional Order Control for 1, 2 and 3 DOF Robot Arm in STM32L476 Development Board. Memorias del Congreso Nacional de Control Automático, pp. 688-693, 2019.
Palabras clave
Robótica y Mecatrónica, Control de Sistemas No Lineales, Educación en Control
Referencias
- Bill Goodwine, and Kevin Leyden (2015). Recent results in fractional-order modeling in multi-agent systems and linear friction welding. IFAC-PaperOnLine, volume (48), pages 380-381.
- Ceron-Morales, I., Gonzalez-Manzanilla, F.O., Muñiz Montero, C., and Arizaga-Silva, J.A. (2018a). Control PID de orden fraccional aplicado a un colector solar cilindroparabólico. . Visión Politécnica, Num.13-1, pages 23-27.
- Ceron-Morales, I., Muñiz-Montero, C., and Tlelo-Cuautle, E. (2018b). Metodología didáctica de control con redes neuronales y FOPID al modelo dinámico de un robot 2GDL en Arduino y STM32. Memorias del XVII congreso nacional de ingeniería electromecánica y de sistemas, Ciudad de México, México.
- Ceron-Morales, I., Herver-Acuña, J.F., Castillo-Castillo, S.J., and Cortez-Martínez W.A. (2019). Metodología de programación de trayectorias de un robot de 2GDL utilizando la tarjeta STM32L476RG, Asociación Mexicana de Mecatrónica A.C., Sinergia Mecatrónica. Pages 144-158, Queretaro Qro, Mexíco.
- Flores-Ordeñana, J.A., Ceron-Morales, I., Muñiz-Montero, C., Snachez-Gaspariano, L. A., and Tlelo-Cuautle, E. (2017). Implementacion de controladores PID fraccionales en las plataformas STM32.Discovery y Arduino a partir de SIMULINK/MATLAB: parte i. Visión Politécnica, Num.12-2, pages 8-12.
- HongGuang Sun, Yong Zhang, Dumitru Baleanu, Wen Chen, and YangQuan Chen. (2018). A new collection of real-world applications of fractional calculus in science and engineering. Communication in nonlinear science and numerical simulation, volume (64), pages 213
- Ines Tejado, Duarte Valerio, Pedro Pires, and Jorge Martins. (2013). Fractional order human arm dynamics with variability analyses, Mechatronics, volume (23), pages 805-812.
- Krishna B. T. (2011). Studies on fractional order differentiators and integrators: Asurvey. Signal Processing, Volume 91, Issue 3, Pages 386-426.
- Lei Zhang, Xiaosong Hu, Zhenpo Wang, Fengchun Sun, and David G. D. (2016). Fractional-Order modeling and state-of-Charge estimation for ultracapacitors. Journal of power source, volume (314), pages 28-34.
- Raafat Shalaby, Mohammad El-Hossaing, and Belal AboZalam. (2019). Fractional Order modeling and control for under-actuated inverted pendulum. Comunication in nonlinear science and numerical simulation, volume (74), pages 97-121.
- Rosario, J.M., Dumur, D., and Tenreiro M. (2006). Analysis of fractional-order robot axis dynamics. IFAC Procedings Volumes, volume (39), pages 367-372.
- Takegaki M., Arimoto S (1981). An Adaptive Method for Trajectory Control of Manipulators. IFAC Proceedings Volumes, Volume 14, Issue 2, Pages 1921-1926.
- Xinxin Shi, YangQuan Chen, and Jiacai Huang. (2018).Application of fractional-order active disturbance rejection controller on linear motion system. Control Engineering Practice, Volume (81), pages 207-214.