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Adaptive Tracking Control of Mobile Manipulators with Affine Constraints and Under-actuated Joints

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Abstract

Adaptive motion/force tracking control is considered for a class of mobile manipulators with affine constraints and under-actuated joints in the presence of uncertainties in this paper. Dynamic equation of mobile manipulator is transformed into a controllable form based on dynamic coupling technique. In view of the asymptotic tracking idea and adaptive theory, adaptive controllers are proposed to achieve the desired control objective. Detailed simulation results confirm the validity of the control strategy.

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References

  1. Y. Yamamoto, X. Yun. Coordinating locomotion and manipulation of a mobile manipulator. IEEE Transactions on Automatic Control, vol. 39, no. 6, pp. 1326–1332, 1994.

    Article  MATH  Google Scholar 

  2. G. Campion, G. Bastin, B. Dandrea-Novel. Structural properties and classification of kinematic and dynamic models of wheeled mobile robots. IEEE Transactions on Robotics and Automation, vol. 12, no. 1, no. 47–62, 1996.

    Article  Google Scholar 

  3. H. G. Tanner, S. G. Loizou, K. J. Kyriakopoulos. Nonholonomic navigation and control of cooperating mobile manipulators. IEEE Transactions on Robotics and Automation, vol. 19, no. 1, pp. 53–64, 2003.

    Article  Google Scholar 

  4. J. D. Tan, N. Xi, Y. C. Wang. Integrated task planning and control for mobile manipulators. International Journal of Robotics Research, vol. 22, no. 5, pp. 337–354, 2003.

    Article  Google Scholar 

  5. W. Sun, Y. Q. Wu. Adaptive motion/force tracking control for a class of mobile manipulators. Asian Journal of Control, published online, 24 May, 2015.

    Google Scholar 

  6. W. J. Dong. On trajectory and force tracking control of constrained mobile manipulators with parameter uncertainty. Automatica, vol. 38, no. 9, pp. 1475–1484, 2002.

    Article  MathSciNet  MATH  Google Scholar 

  7. Z. J. Li, S. S. Ge, A. G. Ming. Adaptive robust motion/force control of holonomic-constrained nonholonomic mobile manipulators. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, vol. 37, no. 3, pp. 607–616, 2007.

    Article  Google Scholar 

  8. Z. J. Li, S. S. Ge, M Adams, W. S. Wijesoma. Robust adaptive control of uncertain force/motion constrained nonholonomic mobile manipulators. Automatica, vol. 44, no. 3, pp. 776–784, 2008.

    Article  MathSciNet  Google Scholar 

  9. S. Lin, A. A. Goldenberg. Neural-network control of mobile manipulators. IEEE Transactions on Neural Networks, vol. 12, no. 5, pp. 1121–1133, 2001.

    Article  Google Scholar 

  10. Z. J. Li, A. G. Ming, N. Xi, M. Shimojo. Motion control of nonholonomic mobile underactuated manipulator. In Proceedings of 2006 IEEE International Conference on Robotics and Automation, IEEE, Orlando, USA, pp. 3512–3519, 2006.

    Google Scholar 

  11. Z. J. Li, Y. P. Yang, S. P. Wang. Adaptive dynamic coupling control of hybrid joints of human-symbiotic wheeled mobile manipulators with unmodelled dynamics. International Journal of Social Robotics, vol. 2, no. 2, pp. 109–120, 2010.

    Article  Google Scholar 

  12. Z. J. Li, Y. P. Yang, J. X. Li. Adaptive motion/force control of mobile under-actuated manipulators with dynamics uncertainties by dynamic coupling and output feedback. IEEE Transactions on Control Systems Technology, vol. 18, no. 5, pp. 1068–1079, 2010.

    Article  Google Scholar 

  13. W. Sun, Y. Q. Wu. Adaptive motion/force control of nonholonomic mechanical systems with affine constraints. Nonlinear Analysis: Modelling and Control, vol. 19, no. 4, pp. 646–659, 2014.

    Article  MathSciNet  Google Scholar 

  14. W. Sun, Y. Q. Wu, Z. Y. Sun. Tracking control design for nonholonomic mechanical systems with affine constraints. International Journal of Automation and Computing, vol. 11, no. 3, pp. 328–333, 2014.

    Article  Google Scholar 

  15. T. Kai. Modeling and passivity analysis of nonholonomic hamiltonian systems with rheonomous affine constraints. Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 8, pp. 3446–3460, 2012.

    Article  MathSciNet  MATH  Google Scholar 

  16. T. Kai. Mathematical modelling and theoretical analysis of nonholonomic kinematic systems with a class of rheonomous affine constraints. Applied Mathematical Modelling, vol. 36, no. 7, pp. 3189–3200, 2012.

    Article  MathSciNet  MATH  Google Scholar 

  17. Z. P. Wang, S. S. Ge, T. H. Lee. Robust motion/force control of uncertain holonomic/nonholonomic mechanical systems. IEEE/ASME Transactions on Mechatronics, vol.9, no. 1, pp. 118–123, 2012.

    Article  Google Scholar 

  18. P. A. Ioannou, J. Sun. Robust Adaptive Control, New Jersey, USA: Prentice-Hall, 1996.

    MATH  Google Scholar 

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Nos. 61273091 and 61403228), Project of Taishan Scholar of Shandong Province of China, and Ph. D. Programs Foundation of Ministry of Education of China (No. 20123705110002).

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Authors and Affiliations

  1. School of Mathematics Science, Liaocheng University, Liaocheng, 252000, China

    Wei Sun & Wen-Xing Yuan

  2. Institute of Automation, Qufu Normal University, Qufu, 273165, China

    Yu-Qiang Wu

Authors
  1. Wei Sun
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  2. Wen-Xing Yuan
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  3. Yu-Qiang Wu
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Corresponding author

Correspondence to Wei Sun.

Additional information

Recommended by Associate Editor Jangmyung Lee

Wei Sun received the M. Sc. degree in operation research and control theory from Qufu Normal University, China in 2011, and the Ph.D. degree from Southeast University, China in 2014. He is a lecturer in the School of Mathematics science, Liaocheng University, China.

His research interests include nonlinear system control, adaptive theory and nonholonomic systems control.

Wen-Xing Yuan received the M. Sc. degree from Capital Normal University, China in 2012. She is a lecturer in the School of Mathematics Science, Liaocheng University, China.

Her research interests include system control techniques and their application.

Yu-Qiang Wu received the M. Sc. degree from Qufu Normal University, China in 1988 and the Ph.D. degree from Southeast University, China in 1994. He is currently a professor in the Institute of Automation, Qufu Normal University, China.

His research interests include variable structure control, switching control, nonlinear system control, and process control.

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Sun, W., Yuan, WX. & Wu, YQ. Adaptive Tracking Control of Mobile Manipulators with Affine Constraints and Under-actuated Joints. Int. J. Autom. Comput. 15, 728–735 (2018). https://doi.org/10.1007/s11633-015-0934-6

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  • DOI: https://doi.org/10.1007/s11633-015-0934-6

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