与交换拓扑学为多代理人系统的单个综合者的动力学追踪控制问题的一致被调查。以便设计为一个更多的将军追踪协议的有效一致网络的班,针对保证代理人的担心的状态收敛到一个经常或变化时间的引用状态,与一个经常、变化时间的引用状态追踪协议的新一致分别地被建议。由有跨越树的对比,特别地,交换相互作用拓扑学的一个改进条件被介绍。然后,追踪协议的二一致的集中分析被 Lyapunov 提供稳定性理论。而且,与一个变化时间的参考状态追踪协议的一致被扩大完成形成控制。由介绍形成结构集合,每个代理人能获得它的单个需要的轨道。最后,几模拟被得出说明理论结果的有效性。测试结果证明代理人的状态能收敛到一个需要的常数或变化时间的参考状态。由选择适当结构集合,另外,代理人能在随机的切换的相互作用拓扑学下面维持期望的形成。
Consensus tracking control problems for single-integrator dynamics of multi-agent systems with switching topology are investigated. In order to design effective consensus tracking protocols for a more general class of networks, which are aimed at ensuring that the concerned states of agents converge to a constant or time-varying reference state, new consensus tracking protocols with a constant and time-varying reference state are proposed, respectively. Particularly, by contrast with spanning tree, an improved condition of switching interaction topology is presented. And then, convergence analysis of two consensus tracking protocols is provided by Lyapunov stability theory. Moreover, consensus tracking protocol with a time-varying reference state is extended to achieve the fbrmation control. By introducing formation structure set, each agent can gain its individual desired trajectory. Finally, several simulations are worked out to illustrate the effectiveness of theoretical results. The test results show that the states of agents can converge to a desired constant or time-varying reference state. In addition, by selecting appropriate structure set, agents can maintain the expected formation under random switching interaction topologies.