Kinematic control for a quadruped robot using the Newton-Raphson method

Authors

  • Luis Antonio Orbegoso Moreno Universidad Nacional de Trujillo https://orcid.org/0000-0002-9751-0589
  • Cristian Rodríguez Universidad Nacional de Trujillo
  • Edgar Valverde Universidad Nacional de Trujillo

DOI:

https://doi.org/10.37537/rev.elektron.5.1.125.2021

Keywords:

direct kinematics, inverse kinematics, Newton-Raphson method, quadruped robot

Abstract

The present work consisted of the implementation of a method for the solution of the inverse kinematic problem of a quadruped robot in four limbs with 3 degrees of freedom each. The proposed solution was supported by the application of an iterative method (Newton-Raphson) and special emphasis was placed on fine-tuning the algorithm parameters, that is, the number of iterations and the threshold distance, in order to guarantee the convergence of the solution in a few iterations. The work proposed to use the same method both for the function of walking by following the trajectory of a closed Bézier curve of five points, as well as for the control of body posture through the development of pitch and roll movements, and yaw from the base. The results of this solution were simulated in the PyBullet module to which the numerical values of the joints of the quadruped robot obtained from the inverse kinematics were exported to validate its behavior and movements in a simulated physical environment.

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Author Biography

  • Luis Antonio Orbegoso Moreno, Universidad Nacional de Trujillo
    Estudiante de ingeniería mecatrónica de la Universidad Nacional de Trujillo.

References

A. Barrientos, F. Peñín, C. Balaguer y R. Aracil, “Fundamentos de robótica”, McGraw-Hill, 2da edición, pp. 134–143, 1997.

Alexandre N. Pechev, Inverse kinematics without matrix inversion, in: Proc. of the 2008 IEEE International Conf. on Robotics and Automation, Pasadena, CA, USA, May 19–23 2008, pp. 2005–2012.

Andreas Aristidou, Joan Lasenby. (15 mayo 2011). Forward And Backward Reaching Inverse Kinematics (FABRIK). ELSEVIER, pp. 1-2.

Sen, Muhammed Arif & Bakırcıoğlu, Veli & Kalyoncu, Mete. (2017). Inverse Kinematic Analysis Of A Quadruped Robot. International Journal of Scientific & Technology Research. 6.

Potts, Alain & Jaime, José. (2011). A Kinematical and Dynamical Analysis of a Quadruped Robot. 10.5772/25500.

Lee, J., Hwangbo, J., Wellhausen, L., Koltun, V., & Hutter, M. (2020). Learning quadrupedal locomotion over challenging terrain. Science Robotics, 5(47), eabc5986. https://doi.org/10.1126/scirobotics.abc5986.

Antonio Nieves Hurtado, Federico C. Dominguez, “Métodos numéricos aplicados a la ingeniería”, 1ra edicion,pp. 302 - 311, 2014.

Orbegoso, L. [LUIS ANTONIO ORBEGOSO MORENO]. (2020, noviembre 24). Control cinemático para un robot cuadrúpedo usando el Método de Newton-Raphson [Archivo de video]. Recuperado de https://youtu.be/PqOzn9ZtPPQ.

Orbegoso, L. [LUIS ANTONIO ORBEGOSO MORENO]. (2020, noviembre 24). Simulación en PyBullet de un robot cuadrúpedo [Archivo de video]. Recuperado de https://youtu.be/_OSwQZyZjEo.

Published

2021-06-15

Issue

Section

Undergraduate Student Papers

How to Cite

[1]
L. A. Orbegoso Moreno, C. Rodríguez, and E. Valverde, “Kinematic control for a quadruped robot using the Newton-Raphson method”, Elektron, vol. 5, no. 1, pp. 77–82, Jun. 2021, doi: 10.37537/rev.elektron.5.1.125.2021.