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状态受限的非完整链式系统的实际镇定 被引量:1

Practical Stabilization of Nonholonomic Chained Form Systems with State Constraints
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摘要 考虑了状态受限的非完整单链式系统的实际镇定问题 .利用链式系统的特殊结构设计了两步控制算法 .该方法能够使闭环系统的状态最终收敛到原点的任意小邻域中 ,且若系统初值小于任意正数M ,那么除了一个收敛到零的状态变量外 ,其余状态变量在整个实际镇定过程中均小于正数 (1+ε)M ,其中ε可事先任意小 .最后对平面移动机器人进行了仿真 。 This paper investigates the practical stabilizing problem of chained systems with state constraints. Based on the peculiar structure of the chained form system, a new two_step controller is presented, which can stabilize the states of the system to an arbitrarily small neighborhood of its equilibrium in a finite time. In addition, if the initial value of each state is less than or equal to some positive number M, all states are less then or equal to (1+ε)M for an arbitrary positive ε except only one state which exponentially converges to zero. The application of it to a nonholonomic wheeled mobile robot is described. Simulation result shows that the proposed controller is effective.
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2002年第2期271-273,278,共4页 Control Theory & Applications
基金 中国科学院沈阳自动化所知识创新工程基金 (F990 116)资助项目
关键词 状态受限 非完整链式系统 实际镇定 移动机器人 state constraints chained form system wheeled mobile robot practical stabilization
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参考文献4

  • 1Kolmanovsky H Y and MCClamroch N H. Development in nonholonomic control problems [J]. IEEE Control systems, 1995,25(7):20-36
  • 2Campion G. Controllability and state feedback stabilizability nonholonomic mechanical systems [A]. de Wit C Canudas, ed. Advanced Robot Control [M]. LNCIS 162, Springer,1991:106-124
  • 3Dong Wenjie and Huo Wei. Tracking control of wheeled mobile robots wih unknown dynamics [A]. Proceedings of the IEEE Conference on Robotics and Automation [C], Detroit, Michigan, 1999:2645-2650
  • 4Nobuhide SUDA. Matrix Theorey in Automatic Control [M]. Beijing: Science Press, 1979

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