系统工程与电子技术

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基于异步动态的多机器人系统的一致性

尹逊和, 樊雪丽, 张红   

  1. (1. 北京交通大学电子信息工程学院, 北京 100044;
    2. 北京市市政专业设计院股份责任公司, 北京 100037)
  • 出版日期:2014-12-08 发布日期:2010-01-03
  • 基金资助:

    ultirobot systems; consensus problem; fixed communication topology; networked control systems; asynchronous dynamic systems

Consensus in multirobot systems based on asynchronous dynamics

YIN Xunhe, FAN Xueli, ZHANG Hong   

  1. (1. School of Electronics and Information Engineering, Beijing Jiaotong University, Beijing 100044, China;
    2. Beijing Municipal Engineering Professional Design Institute Co. Ltd, Beijing 100037, China)
  • Online:2014-12-08 Published:2010-01-03

摘要:

研究通过无线网络进行通信的多机器人系统的一致性问题。多机器人系统在固定通信拓扑下可建模为特定的网络控制系统,考虑信道噪声、不确定短时延和数据包丢失等因素的影响时,其可进一步视作由丢包率约束的异步动态系统。通过构造李雅普诺夫(Lyapunov)函数,运用线性矩阵不等式(linear matrix inequality, LMI)方法,得到了该系统指数稳定的充分条件。为实现多机器人系统的运动一致性,设计了控制器;讨论了不同的指数收敛率对多机器人系统收敛速度的影响,并进行了相应的理论证明和仿真验证。

Abstract:

Consensus problems of multirobot systems in which each robot communicates with the others over wireless networks are investigated. The multirobot systems can be modeled as a kind of networked control systems under the fixed communication topology conditions, and further regarded as the asynchronous dynamic systems constrained by the packet loss probability when considering the influence factors such as channel noise, uncertain short delay and packet loss. By constructing the Lyapunov function and using the linear matrix inequality (LMI) method, the sufficient condition of exponential stability for the systems is obtained. A controller is designed to achieve the motion consensus of multirobot systems. The effects of different exponential convergence rate on the convergence speed of multirobot systems are discussed. Subsequently, the correlative theoretical demonstrations and simulation verifications are given.