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Research of Dynamic Model and Control Ling of Flexible Two-Wheel Upright Self-balance Humanoid Robot

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Intelligent Robotics and Applications (ICIRA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5314))

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Abstract

The dynamic modeling problems of flexible two-wheel upright self-balance humanoid robot are researched. A dynamic modeling is obtained by the Lagrange equation and dynamics mechanics theory. Using springs imitate human lumbar spine, considering the lumbar spine of the flexible robot, which has an actual length without being treated as an approximate point. All these are different from previous robots. The quality of upper and lower base is cancelled. The dynamic model is linearized and its spatial equations of state are established. The simplified dynamic model is obtained by designing its structure in simple ways, in this way. It is convenient to control the robot. The state feedback controller(LQR) with good robustness is designed on Matlab. The stability of systems is proved by the experimental results. Validity and rationality of the system modeling and the controller designing are verified through the performance experiments of the prototype. The research also supplies theoretical instructions for developing the dynamic control system in the flexible two-wheel upright self-balance humanoid robot. It has great significance in design and research for the humanoid robots.

Project 2007AA04Z226 supported by China’s 863 Program and Project 60774077 supported by NSFC.

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References

  1. Low, K.H., Vidyasagar, M.A.: Lagrangian formulation of the dynamic model for flexible manipulator systems. ASMEJ, Dynamic System Modeling and Control 110(2), 175–181 (1988)

    Article  MATH  Google Scholar 

  2. Kane, T.R., Ryan, R.R., Banerjee, A.K.: Dynamic of a cantilever beam attached to moving base. Journal of Guidance, Control and Dynamics 0(2), 139–150 (1987)

    Article  Google Scholar 

  3. Chen, W., Yu, Y.Q., Zhang, X.P., et al.: Dynamic modeling and coupling of underactuated flexible robot. Chinese Journal of Mechanical Engineering 42(6), 16–23 (2006)

    Article  MathSciNet  Google Scholar 

  4. Chen, W., Yu, Y.Q., Zhang, X.P., et al.: Dynamic modeling and simulation of underactuated flexible robot. China Mechanical Engineering 17(9), 931–936 (2006)

    Google Scholar 

  5. Basher, H.A.: Modeling and simulation of flexible robot manipulator with a prismatic joint. In: Conference Proceedings - IEEE Southeastcon, 2007 IEEE Southeast Con, pp. 255–260 (2007)

    Google Scholar 

  6. Loudini, M., Boukhetala, D., Tadjine, M.: Comprehensive mathematical modeling of a transversely vibrating flexible link robot manipulator carrying a tip payload. International Journal of Applied Mechanics and Engineering 12(1), 67–83 (2007)

    Google Scholar 

  7. Kalyoncu, M.: Mathematical modeling and dynamic response of a multi-straight-line path tracing flexible robot manipulator with rotating-prismatic joint. Applied Mathematical Modeling 32(6), 1087–1098 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  8. Zou, J.Q., Su, X., Zhang, J.J.: Dynamic equation of distributed-parameter of a flexible robotic arm and its discreteness. Journal of Jilin University (Science Edition) 45(3), 353–357 (2007)

    MATH  Google Scholar 

  9. Zou, J.Q., Su, X., Zhang, J.J.: Dynamic equation of distributed-parameter of a flexible robotic arm and its discreteness. Journal of Jilin University (Science Edition) 45(3), 353–357 (2007)

    MATH  Google Scholar 

  10. Guan, Y.S., An, Y.C.: A New Method of Dynamics of Flexible Robot Manipulators Based on Kane’s Method and Model Analysis. Robot 14(1), 45–51 (1992)

    Google Scholar 

  11. Salerno, A., Angeles, J.: On the nonlinear controllability of a quasiholonomic mobile robot. In: Proc. IEEE ICRA, Taiwan, pp. 3379–3384 (2003)

    Google Scholar 

  12. Grasser, F., Arrigo, A.D., Colombi, S., Rufer, A.: Joe: A mobile, inverted pendulum. IEEE Trans. Ind. Electron. 49(1), 107–114 (2002)

    Article  Google Scholar 

  13. Pathak, K., Franch, J., Agrawal, K.: Velocity and Position Control of a Wheeled Inverted Pendulum by Partial Feedback Linearization. IEEE Transactions on Robotics 21(3), 505–513 (2005)

    Article  Google Scholar 

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© 2008 Springer-Verlag Berlin Heidelberg

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Ruan, X., Zhao, J. (2008). Research of Dynamic Model and Control Ling of Flexible Two-Wheel Upright Self-balance Humanoid Robot. In: Xiong, C., Huang, Y., Xiong, Y., Liu, H. (eds) Intelligent Robotics and Applications. ICIRA 2008. Lecture Notes in Computer Science(), vol 5314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88513-9_112

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  • DOI: https://doi.org/10.1007/978-3-540-88513-9_112

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88512-2

  • Online ISBN: 978-3-540-88513-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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