Abstract
The characteristics of interaction between WT wheelchair robot and stair environments is analyzed and possible patterns of WT wheelchair robot during the stair-climbing process are summarized, with criteria to determine the pattern of the wheelchair robot proposed. Aiming at the complicated mechanism of WT wheelchair robot with holonomic constraints and combining it with the dynamic programming, namely the Hamilton-Jacobi equation, a new control law called active tension optimal control is presented for holonomic or nonholonomic robotic systems, based on which one can make the wheelchair robot with a holonomic or nonholonomic mechanism track the expected reference input of constraint forces of holonomic or nonholinomic constraints as well as track the expected reference input of the generalized coordinate of each joint. The module STATEFLOW in MATLAB is used to simulate the entire stair-climbing process of WT wheelchair robot, and comparison is made between the output curves of each joint and the tension of the track and the expected reference input curves, which verifies the effectiveness of the proposed control law.
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References
Nishiyama T, Takiuchi F, Ando K, et al. The functional evaluation of future wheelchairs contributing to ecological aid in traveling. In: Proceedings of 4th International Symposium on Environmentally Conscious Design and Inverse Manufacturing, Tokyo, 2005. 844–849
Yang Y, Qian H, Wu X, et al. A novel design of tri-star wheeled mobile robot for high obstacle climbing. In: 2012 IEEE/RSJ International Conference on Intelligent Robots and Systems, Vilamoura, 2012. 920–925
Sugahara Y, Ohta A, Hashimoto K, et al. Walking up and down stairs carrying a human by a biped locomotor with parallel mechanism. In: 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems, Edmonton, 2005. 1489–1494
Yuan J. Stability analyses of wheelchair robot based on “Human-in-the-Loop” control theory. In: IEEE International Conference on Robotics and Biomimetics, Bankok, 2009. 419–424
Chen S C, Huang K J, Li C H, et al. Trajectory planning for stair climbing in the leg-wheel hybrid mobile robot quattroped. In: IEEE International Conference on Robotics and Automation, Shanghai, 2011. 1229–1234
Hirose S, Fukushima E F, Damoto R, et al. Design of terrain adaptive versatile crawler vehicle HELIOS-VI. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, Maui, 2001. 1540–1545
Lawn M J, Sakai T, Kuroiwa M, et al. Development and practical application of a stairclimbing wheelchair in nagasaki. J Hum Friendly Welfare Robot Syst, 2001, 2: 33–39
Deng X, Lu Z. Underactuated robot dynamic modeling and control based on differential geometry. Chin J Mech Eng, 2007, 36: 30–33
Kolmanovsky I, McClamroch N H. Developments in nonholonomic control problems. IEEE Control Syst Mag, 1995, 15: 20–36
Gao B, Chen H, Zhang X. Control design for underactuated mechanical systems: a survey. Elec Mach Control, 2006, 10: 541–546
Xie X. Optimal Control Theory and Application. Beijing: Tsinghua University Press, 1986. 216–261
Huo W. Dynamics and Control of Robot. Beijing: Higher Education Press, 2005. 144–149
Ye M, Xiao L X. Analytical Mechanics. Tianjin: Tianjin University Press, 2001. 224–235
Zhang W. Modeling for Logic Systems of Stateflow. Xi’an: Xi’an Electronic and Science University Press, 2007. 20–98
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Wang, J., Wang, T., Yao, C. et al. Active tension optimal control for WT wheelchair robot by using a novel control law for holonomic or nonholonomic systems. Sci. China Inf. Sci. 57, 1–15 (2014). https://doi.org/10.1007/s11432-014-5142-4
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DOI: https://doi.org/10.1007/s11432-014-5142-4