Skip to main content
Log in

A robust GPI controller for trajectory tracking tasks in the limbs of a walking robot

  • Regular Papers
  • Robot and Applications
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

The study and development of walking robots implies solving several problems related with the design, dynamics, gait patterns, control and other topics inherent to their complex mechanism. One of the most important problems is the trajectory tracking tasks made by the degrees of freedom of each limb. Once the path planner has established the correct trajectory to follow, is necessary to track it with the least possible error. This important task is made by a controller, and helps the robot to maintain a stable walking. In this work we have focused on proposing a GPI control law for a limb of a hexapod walking robot, in order to track smooth trajectories and reject disturbances present in the closed-loop system. We also present the dynamic model of the limb, the designed reference trajectories, control simulations and experimental results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. T. Hayashi, M. Yamakita, Y. Hanazawa, and F. Asano, “Robust Walking of Biped Robot on Uneven Terrain Using Effect of Wobbling Mass,” Proceedings of the 2014 IEEE International Conference on Robotics and Biomimetics, pp. 2080–2085, Bali, Indonesia, December 2014.

    Google Scholar 

  2. I. Kapustík, J. Hudec and P. Návrat, “Stabilized walking for Nao robot,” IEEE 13th International Symposium on Applied Machine Intelligence and Informatics, pp. 115–118, Herl’any, Slovakia, January 2015. [click]

    Google Scholar 

  3. D. C. Post and J. P. Schmiedeler, “Velocity Disturbance Rejection for Planar Bipeds Walking with HZD–Based Control,” IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 4882–4887, Chicago, Illinois, September 2014.

    Google Scholar 

  4. P. Manoonpong, S. Dasgupta, D. Goldschmidt, and F. Wörgötter, “Reservoir–based online adaptive forward models with neural control for complex locomotion in a hexapod robot,” International Joint Conference on Neural Networks, pp. 3295–3302, Beijing, China, July 2014. [click]

    Google Scholar 

  5. J. Kumar and R. Tewari, “Quintic polynomial trajectory of biped robot for Human–like walking,” 6th International Symposium on Communications, Control, and Signal Processing, pp. 360–363, Athens, Greece, 2014. [click]

    Google Scholar 

  6. D. Liming, Z. Xianchao, Q. Chenkun, and Gao Feng, “A real–time walking robot control system based on Linux RTAI,” Proceedings of the 2013 International Conference on Advanced Mechatronic Systems, pp. 530–534, Luoyang, China, September 2013. [click]

    Google Scholar 

  7. F. Jian, Y. Xue, and L. Xiang, “Real–time measure and control system of biped walking robot based on sensor,” 10th IEEE International Conference on Control and Automation, pp. 1429–1434, Hangzhou, China, June 2013. [click]

    Google Scholar 

  8. M. Fliess, R. Marquez, E. Delaleau, and H. Sira–Ramírez, “Correcteurs proportionnels–intégraux généralisés,” ESAIM: Control, Optimisation and Calculus of Variations, vol. 7, pp. 23–41, January 2002. [click]

    Article  MathSciNet  MATH  Google Scholar 

  9. J. A. Juárez–Abad, J. Linares–Flores, E. Guzmán–Ramírez, and H. Sira–Ramírez, “Generalized proportional integral tracking controller for a single–phase multilevel cascade inverter: an FPGA implementation,” IEEE Transactions on Industrial Informatics, vol. 10, no. 1, pp. 256–266, February 2014. [click]

    Article  Google Scholar 

  10. A. Blanco–Ortega, L.G. Vela–Valdés, G. López–López, and A. Magadán–Salazar, “A generalized proportional integral controller for the robust perturbation rejection in an ankle rehabilitation machine,” International Conference on Mechatronics, Electronics and Automotive Engineering, pp. 140–145, Cuernavaca, Mexico, June 2013.

    Google Scholar 

  11. H. Sira–Ramírez and M. A. Oliver–Salazar, “On the robust control of buck–converter. DC–motor combinations,” IEEE Transactions on Power Electronics, vol. 28, no. 8, pp. 3912–3922 August 2013. [click]

    Article  Google Scholar 

  12. H. Sira–Ramírez, F. González–Montáñez, J. Cortés–Romero, and A. Luviano–Juárez, “A disturbance rejection approach for the induction motor through observer based generalized PI control,” American Control Conference, pp. 1162–1167, Montréal Canada, June 2012. [click]

    Google Scholar 

  13. A. Luviano–Juárez, J. Cortés–Romero, and H. Sira–Ramírez, “Chaotic synchronization between oscillators using robust GPI control,” 5th International Conference on Electrical Engineering, Computing Science and Automatic Control, pp. 114–119, Mexico City, Mexico, 2008.

    Google Scholar 

  14. V. M. Hernández and H. Sira–Ramírez, “Generalized proportional integral control of rigid robots,” Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, USA, December 2002.

    Google Scholar 

  15. R. Kelly and V. Santibáñez, “Control de movimiento de robots manipuladores,” Pearson Education, 2006.

    Google Scholar 

  16. M. W. Spong, S. Hutchinson, and M. Vidyasagar, Robot Modeling and Control, John Wiley & Sons Inc, 2005.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alberto Rosales.

Additional information

Recommended by Associate Editor Juhoon Back under the direction of Editor Fuchun Sun. This work was supported by Instituto Politécnico Nacional de México, CONACyT de México and Instituto de Investigación y Desarrollo Tecnológico de la Armada de México. The authors would like to thank the Instituto Politécnico Nacional de México, Instituto de Investigación y Desarrollo Tecnológico de la Armada de México, and CONACyT de México for funding this project.

Edwards Sánchez received a Master of Science degree in Electronics Engineering from Escuela Superior de Ingeniería Mecánica y Eléctrica in 2015. His research interests include nonlinear control and visual servoing.

Alberto Luviano was born in Mexico City, Mexico, in 1981. He received his B.S. degree in mechatronics engineering from the Instituto Politécnico Nacional, Mexico, in 2003, an M.Sc. degree in automatic control from the Department of Automatic Control, Centro de Investigación y de Estudios Avanzados (CINVESTAV), Instituto Politécnico Nacional (IPN), in 2006, and a Ph.D. degree in electrical engineering from the Mechatronics section, Departament of Electrical Engineering at CINVESTAV, IPN, in 2011.

Alberto Rosales received his Ph.D. degree in Communications and Electronics (2008), Master of Science in Telecommunications Engineering (2004) and Engineer Communications and Electronics (1999) by ESIME-Instituto Politécnico Nacional de México. Topics currently being developed are: image processing, multispectral and multichannel video in real time, visual computing, as well as medical image processing.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sánchez, E., Luviano, A. & Rosales, A. A robust GPI controller for trajectory tracking tasks in the limbs of a walking robot. Int. J. Control Autom. Syst. 15, 2786–2795 (2017). https://doi.org/10.1007/s12555-015-0387-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-015-0387-2

Keywords

Navigation