俞辉, 王永骥, 徐建省. 非完整移动机器人编队的滑模控制[J]. 机器人, 2006, 28(4): 428-432.
引用本文: 俞辉, 王永骥, 徐建省. 非完整移动机器人编队的滑模控制[J]. 机器人, 2006, 28(4): 428-432.
YU Hui, WANG Yong-ji, XU Jian-sheng. Sliding Mode Control for Nonholonomic Mobile Robot Formation[J]. ROBOT, 2006, 28(4): 428-432.
Citation: YU Hui, WANG Yong-ji, XU Jian-sheng. Sliding Mode Control for Nonholonomic Mobile Robot Formation[J]. ROBOT, 2006, 28(4): 428-432.

非完整移动机器人编队的滑模控制

Sliding Mode Control for Nonholonomic Mobile Robot Formation

  • 摘要: 提出了一个非线性滑模控制器,协调一组非完整移动机器人以取得合乎要求的编队.考虑了两个机器人组成的领航者—跟随者机器人模型,通过滑模控制使它们沿预定的轨迹运动并保持预定的相对距离、方位角及运动方向.运用传统的李亚普诺夫理论研究了闭环系统的稳定性.在合理的假设下,从理论上证明了存在有界干扰情形下机器人编队的渐近稳定性,即所设计的滑模控制器使得相对距离误差、方位角误差及运动方向误差渐近稳定.最后,给出了两台机器人情形的数值仿真例子来验证该方法的有效性.

     

    Abstract: A nonlinear sliding mode controller is proposed to coordinate a group of nonholonomic mobile robots so that a desired formation can be achieved.By using sliding mode control approaches,we consider a two-vehicle team in leader-(follower) configuration that is required to follow a prescribed trajectory while maintaining a desired relative distance,relative bearing angle and heading orientation.Stability of the closed-loop system are studied using classical Lyapunov theory.We prove theoretically that under certain reasonable assumptions the formation is asymptotically stable even with bounded disturbances;that is,the proposed sliding mode controller can asymptotically stabilize the errors in relative distance,relative bearing and heading direction,respectively.Finally,a numerical simulation example is given for the two-robot case to verify the validity of our approach.

     

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