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Tracking control of a three-wheeled omnidirectional mobile manipulator system with disturbance and friction

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Abstract

This paper proposes a tracking control method for a three-wheeled omnidirectional manipulator system (OMMS) with disturbance and friction. The OMMS is separated into two subsystems, a three-wheeled omnidirectional mobile platform (OMP) and a selective compliant articulated robot for assembly (SCARA) type of manipulator. Therefore, two controllers are designed to control the OMP and the manipulator system. Firstly, based on a kinematic modeling of the manipulator, a kinematic controller (KC), combined with an integral sliding mode controller (ISMC), is designed for the end-effector of the manipulator to track a desired trajectory with the desired angular velocity vector of links. Secondly, a differential sliding mode controller (DSMC) based on a dynamic modeling of the OMP with force external disturbances is proposed to obtain control inputs moving the OMP so that the manipulator tracks the desired posture without singularity. The system stability is proven using Lyapunov stability theory. The simulation and experimental results are presented to illustrate the effectiveness of the proposed controllers in the presence of disturbance and friction.

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References

  1. F. G. Pin and S. M. Killough, A new familly of omnidirectional and holonomic wheeled platforms for mobile robots, IEEE Trans. on Robotics and Automation, 10(4) (1994) 490–489.

    Article  Google Scholar 

  2. A. Betourne and G. Campion, Dynamic modelling and control design of a class of omnidirectional mobile robots, Proceedings of the 1996 IEEE Iternational Conference on Robottics and Automation, Minnesota (1996) 2810–2815.

  3. K. Watanabe, Y. Shiraishi, S. G. Tzafestas, J. Tang and T. Fukuda, Feedback control of an omnidirectional autonomous platform for mobile service robots, J. Intell. Robot. Syst., 22 (1998) 315–330.

    Article  Google Scholar 

  4. H. C. Huang and C. C. Tsai, Adaptive robust control of an omnidirectional mobile platform for autonomous service robots in polar coordinates, J. Intell. Robot. Syst., 51(4) (2008) 439–460.

    Article  Google Scholar 

  5. H. C. Huang and C. C. Tsai, FPGA Implementation of an embedded robust adaptive controller for autonomous omnidirectional mobile platform, IEEE Trans. on Industrial Electronics, 56(5) (2009) 1604–1616.

    Article  Google Scholar 

  6. K. Watanabe, K. Sato, K. Izumi and Y. Kunitake, Analysis and control for an omnidirectional mobile manipulator, J. Intell. Robot. Syst., 27 (2000) 3–20.

    Article  MATH  Google Scholar 

  7. D. Xu, D. Zhao, J. Yi and X. Tan, Trajectory tracking control of omnidirectional wheeled mobile manipulators robust neural network-based sliding mode approach, IEEE Trans. on Systems, Man, and Cybernetics, 39(3) (2009) 788–799.

    Article  Google Scholar 

  8. T. K. Nagy, R. D’Andrea and P. Ganuly, Near-optimal dynamic trajectory generation and control of an omnidirectional vehicle, Robotics and Autonomous Systems, 47(1) (2004) 47–64.

    Article  Google Scholar 

  9. R. L. Williams II, B. E. Carter, P. Gallina and G. Rosati, Dynamic model with slip for wheeled omnidirectional robots, IEEE Trans. on Robotics and Automation, 18(3) (2002) 285–293

    Article  Google Scholar 

  10. N. Hung, D. W. Kim, H. K. Kim and S. B. Kim, Tracking controller design of omnidirectional mobile manipulator system, ICROS-SICE International Joint Conference, Fukuoka (2009) 539–544.

  11. T. T. Phan, T. L. Chung, M. D. Ngo, H. K. Kim and S. B. Kim, Decentralized control design for welding mobile manipulator, International Journal of KSME, 19(3) (2005) 756–767.

    Google Scholar 

  12. M. D. Ngo, N. T. Phuong, V. H. Duy, H. K. Kim and S. B. Kim, Control of two wheeled welding mobile manipulator, International Journal of Advanced Robotics System, 4(3) (2007) 293–302.

    Google Scholar 

  13. F. L. Lewis, C. T. Abdallah and D. M. Dawson, Control of mabot manipulator, Prentice Hall International Edition (1993).

  14. F. L. Lewis, C. T. Abdallah and D. M. Dawson, Control of robot manipulator, Prentice Hall International Edition (1993).

  15. T. L. Chung, H. T. Bui, T. T. Nguyen and S. B. Kim, Sliding mode control of two-wheeled welding mobile robot for tracking smooth curved welding path, International Journal of KSME, 18(7) (2004) 1094–1106.

    Google Scholar 

  16. J. J. E. Slotine and W. Li, Applied nonlinear control, Prentice-Hall International, Inc. (1991).

  17. H. K. Khalil, Nonlinear systems, Prentice-Hall International, Inc., (2002).

  18. Y. M. Sam, J. H. S. Osman and M. R. A. Ghani, A class of proportional-integral sliding mode control with application to active suspension system, Systems & Control Letters, 51(3–4) (2004) 217–223.

    Article  MathSciNet  MATH  Google Scholar 

  19. H. Zhang, Y. Shi, A. S. Mehr, Robust H∞ PID control for multivariable networked control systems with disturbance/ noise attenuation, International Journal of Robust and Nonlinear Control, DOI: 10.1002/rnc.1688 (2011).

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Correspondence to Sang Bong Kim.

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Recommended by Associate Editor Yang Shi

Tuan Dinh Viet was born in Vietnam on July 14, 1972. He received a B.S. degree in the Faculty of Computer Science, Hochiminh City Open University, Vietnam in 1997. He received a B.S. degree in the Faculty of Information Technology, College of Engineering, University of Danang, Vietnam in 2008. He is currently a Ph.D. student in the Dept. of Mechanical Engineering, Pukyong National University, Busan, Korea. His fields of interests are computer science, robust control and mobile robot control.

Phuc Thinh Doan was born in Vietnam on January 31, 1985. He received a B.S. degree in the Dept. of Mechanical Engineering, Hochiminh City University of Technology, Vietnam in 4/2007. He then received an M.S. degree in the Dept. of Mechanical Engineering, Pukyong National University, Busan, Korea in 2/2011. He is currently a Ph.D. student in the Dept. of Mechanical Engineering, Pukyong National University, Busan, Korea. His fields of interests are robotic, power electric, motion control and mobile robot control.

Nguyen Hung was born in Vietnam on December 01, 1977. He received B.S. and M.S. degrees in the Faculty of Electrical and Electronics Engineering, Hochiminh City University of Technology, Vietnam in 2000 and 2004. He then received his Ph.D. in the Dept. of Mechanical Engineering, Pukyong National University, Busan, Korea in 2/2010. Since then, he has been a lecturer of Faculty of Mechanical — Electrical — Electronic, University of Technology, Hochiminh City, Vietnam. His fields of interests are robust control and mobile robot control.

Hak Kyeong Kim was born in Korea on November 11, 1958. He received B.S. and M.S. degrees in the Dept. of Mechanical Engineering from Pusan National University, Korea in 1983 and 1985. He received his Ph.D. degree from the Dept. of Mechatronics Engineering, Pukyong National University, Busan, Korea in February, 2002. His fields of interest are robust control, biomechanical control, mobile robot control, and image processing control.

Sang Bong Kim was born in Korea on August 6, 1955. He received B.S. and M.S. degrees from the National Fisheries University of Pusan, Korea in 1978 and 1980. He received his Ph.D. from Tokyo Institute of Technology, Japan in 1988. Since then, he has been a Professor of the Dept. of Mechanical Engineering, Pukyong National University, Busan, Korea. His research has been on robust control, biomechanical control, and mobile robot control.

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Viet, T.D., Doan, P.T., Hung, N. et al. Tracking control of a three-wheeled omnidirectional mobile manipulator system with disturbance and friction. J Mech Sci Technol 26, 2197–2211 (2012). https://doi.org/10.1007/s12206-012-0541-1

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  • DOI: https://doi.org/10.1007/s12206-012-0541-1

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