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A practical PID regulator with bounded torques for robot manipulators

International Journal of Control, Automation and Systems volume 8, pages 544–555 (2010)Cite this article

Abstract

This paper proposes a saturated nonlinear PID regulator for industrial robot manipulators. Our controller considers the natural saturation problem given by the output of the control computer, the saturation phenomena of the internal PI velocity controller in the servo driver, and the actuator torque constraints of the robot manipulator. An approach based on the singular perturbations method is used to analyze the exponential stability of the closed-loop system. Experimental essays show the feasibility of the proposed controller. Furthermore, the theoretical results justify why the classical PID used in industrial robots preserves its exponential stability despite the saturation effects of the electronic control devices and the actuator torque constraints.

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Authors and Affiliations

  1. Instituto Tecnologico de la Laguna, Blvd. Revolucion y Cuauhtemoc, Torreon, Coahuila, 27000, Mexico

    Victor Santibañez & Ricardo Campa

  2. Instituto Tecnológico de Celaya, Av. Tecnologico y Antonio Garcia Cubas, Celaya, Guanajuato, 38010, Mexico

    Karla Camarillo

  3. Centro de Investigacion y Desarrollo de Tecnologia Digital del IPN, Av. del Parque 1310, Mesa de Otay, Tijuana, B.C., 22510, Mexico

    Javier Moreno-Valenzuela

Authors
  1. Victor Santibañez
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  2. Karla Camarillo
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  3. Javier Moreno-Valenzuela
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  4. Ricardo Campa
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Corresponding author

Correspondence to Victor Santibañez.

Additional information

Recommended by Editorial Board member Youngjin Choi under the direction of Editor Jae-Bok Song. This work was supported by CONACYT, SIP-IPN and DGEST.

Victor Santibanez received his B.S. and M.Sc. degrees in Electronics Engineering from the Instituto Tecnologico de La Laguna, Torreon, Mexico, and his Ph.D. degree from CICESE Research Center, Ensenada, Mexico in 1977, 1984 and 1997, respectively. From 1977 to 1981 he worked in the respective Industrial Electronics Departments of the iron and steel industry at Altos Hornos de Mexico and Metalurgica Mexicana Peñoles. From 1989 to 1990 he was with the Instituto de Automatica Industrial (CSIC) in Madrid Spain. He is currently a professor at the Instituto Tecnologico de La Laguna. His research interests are robot control, nonlinear systems control, and fuzzy control.

Karla Camarillo was born in Cd. Juarez, Mexico, in 1979. She received her B.S., M.Sc. and Ph.D. degrees in Electrical and Electronics Engineering from the Instituto Tecnologico de La Laguna in Torreon, Mexico. She is currently a professor at the Instituto Tecnologico de Celaya in Celaya, Mexico. She is active member of IEEE. Recently, she was named vicepresident of the Mexican Association of Robotics (AMRob). Her research interests are robot control, and nonlinear systems control.

Javier Moreno-Valenzuela was born in Culiacán, Mexico, in 1974. He received his B.S. degree in Electronics Engineering from the Instituto Tecnológico de Culiacán, Mexico, in 1997, and his Ph.D. degree in Automatic Control from CICESE Research Center, Ensenada, Mexico, in 2002. He was an Associate Researcher at CITEDI-IPN Research Center, Tijuana, Mexico, from 2002 to 2004 and a Postdoctoral Fellow at the Université de Liège, Belgium, from 2004 to 2005. Currently, he is at CITEDI-IPN Research Center. His main research interests are in control of electro-mechanical systems.

Ricardo Campa was born in Torreón, Mexico, in 1971. He received his M.S. degree in Electrical Engineering from the Instituto Tecnológico de la Laguna, in 1998, and his Ph.D. degree in Electronics and Tele-communications from CICESE Research Center, in 2005. He is currently a professor at the Instituto Tecnológico de la Laguna in Torreon, Mexico. His research interests are robot modeling and control, and real-time control systems.

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Santibañez, V., Camarillo, K., Moreno-Valenzuela, J. et al. A practical PID regulator with bounded torques for robot manipulators. Int. J. Control Autom. Syst. 8, 544–555 (2010). https://doi.org/10.1007/s12555-010-0307-4

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  • DOI: https://doi.org/10.1007/s12555-010-0307-4

Keywords

  • Bounded torques
  • PID control
  • singular perturbations
  • stability analysis