论文标题
领导者追随者同步和ISS分析,用于边界控制波PDE网络
Leader-follower synchronization and ISS analysis for a network of boundary-controlled wave PDEs
论文作者
论文摘要
由一类波PDE建模的代理网络正在研究中。网络中的一个代理人扮演领导者的角色,所有其余的“追随者”代理都必须渐近地跟踪领导者的状态。仅假定代理状态的边界传感,并且每个代理都通过诺伊曼型驱动通过边界来控制。通过基于Lyapunov的方法提出并分析了线性相互作用协议。获得了一组简单的调整规则,保证了同步的指数成就。此外,对于封闭环系统,得出了指数的ISS关系,该指数ISS关系表征了边界和内域干扰的跟踪准确性的影响。
A network of agents, modeled by a class of wave PDEs, is under investigation. One agent in the network plays the role of a leader, and all the remaining "follower" agents are required to asymptotically track the state of the leader. Only boundary sensing of the agent's state is assumed, and each agent is controlled through the boundary by Neumann-type actuation. A linear interaction protocol is proposed and analyzed by means of a Lyapunov-based approach. A simple set of tuning rules, guaranteeing the exponential achievement of synchronization, is obtained. In addition, an exponential ISS relation, characterizing the effects on the tracking accuracy of boundary and in-domain disturbances, is derived for the closed loop system.