Xiao Weihao, Zhang Liang, Jiang Huirenet al. Effects of Si on high temperature oxidation resistance of TiAl alloy[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(03): 365-368. (in Chinese)
Citation: Li Chuanfeng, Wang Chaoli. Robust stabilization of uncertain nonholonomic kinematic systems[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(04): 427-430. (in Chinese)

Robust stabilization of uncertain nonholonomic kinematic systems

  • Received Date: 30 May 2006
  • Publish Date: 30 Apr 2007
  • Lots of research on the stabilizing problem of certain nonholonomic kinematic systems has been developed. However, when the geometric parameters of systems are unknown, especially, considering uncalibrated vision measure in control systems, kinematic systems are uncertain. The stabilizing problem was investigated for a kind of uncertain nonholonomic control systems, i.e., nonholonomic mobile robots. A robot kinematic model with two driven wheel velocities as control inputs was obtained through the observation and analysis of mobile robots driven by two wheels with the different center of mass and geometric center. A smooth time varying stabilizing controller was proposed for these systems with the known wheel radius and the distance between the two driving wheels. For the circumstance with the unknown two parameters above, a robust stabilizing law was presented also. The asymptotic stability was rigorously proved for the closed loop systems by using the proposed control laws. A heuristic idea may be obtained for developing stabilizing problem of general uncertain nonholonomic control systems by considering this kind of design. The simulation illustrates the effectiveness of the proposed controllers.

     

  • [1] Brockett R W. Differential geometric control theory[M]. Boston:Burkhauser, 1983 [2] Teel A R, Murray R M, Walsh G C. Nonholonomic control systems:from steering to stabilization with sinusoids[J]. International Journal of Control, 1995, 62(4):849-870 [3] 李胜,马国梁,胡维礼.一类不确定非完整移动机器人的时变自适应镇定[J].机器人, 2005, 27(1):10-13 Li Sheng, Ma Guoliang, Hu Weili. Time-varying adaptive stabilization of an uncertain nonholonomic mobile robot[J]. Robot, 2005, 27(1):10-13(in Chinese) [4] Wu W, Chen H, Wang Y, et al. Adaptive exponential stabilization of mobile robots with unknown constant-input disturbance[J]. Robotic Systems, 2001, 18(6):289-295 [5] 马保离,霍伟.非完整链式系统的时变光滑指数镇定[J].自动化学报,2003,29(2):301-305 Ma Baoli, Huo Wei. Smooth time-varying exponential stabilization of nonholonomic chained systems[J]. Acta Automatica Sinica, 2003,29(2):301-305(in Chinese) [6] Prieur C, Astolfi A. Robust stabilization of chained systems via hybrid control[J]. IEEE Transactions on Automatic Control, 2003, 48(10):1768-1772 [7] 曹洋,项龙江,徐心和.基于全局视觉的轮式移动机器人轨迹跟踪控制[J].机器人,2004,26(1):78-82 Cao Yang, Xiang Longjiang, Xu Xinhe. Trajectory tracking control of wheeled mobile robot based on global vision[J]. Robot, 2004, 26(1):78-82(in Chinese) [8] Slotine J J E, Li W. Applied nonlinear control[M]. New Jersey:Prentice-Hall, Englewood Cliff, 1991
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