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首页> 外文期刊>Automatic Control, IEEE Transactions on >Distributed Average Tracking of Multiple Time-Varying Reference Signals With Bounded Derivatives
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Distributed Average Tracking of Multiple Time-Varying Reference Signals With Bounded Derivatives

机译：具有有界导数的多个时变参考信号的分布式平均跟踪

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摘要

We present a distributed discontinuous control algorithm for a team of agents to track the average of multiple time-varying reference signals with bounded derivatives. We use tools from nonsmooth analysis to analyze the stability of the system. For time-invariant undirected connected network topologies, we prove that the states of all agents will converge to the average of the time-varying reference signals with bounded derivatives in finite time provided that the control gain is properly chosen. The validity of this result is also established for scenarios with switching undirected connected network topologies. For time-invariant directed network topologies with a directed spanning tree, we show that all agents will still reach a consensus in finite time, but the convergent value is generally not the average of the time-varying reference signals with bounded derivatives. Simulation examples are presented to show the validity of the above results.
机译：我们为一组代理人提供了一种分布式不连续控制算法，以跟踪带限导数的多个时变参考信号的平均值。我们使用非平滑分析中的工具来分析系统的稳定性。对于时不变的无向连接网络拓扑，我们证明了只要适当选择控制增益，所有代理的状态将在有限时间内收敛到带有时限导数的时变参考信号的平均值。对于切换无方向连接的网络拓扑的方案，也建立了此结果的有效性。对于具有有向生成树的时不变的有向网络拓扑，我们显示了所有代理仍将在有限时间内达成共识，但是收敛值通常不是带有边界导数的时变参考信号的平均值。仿真实例表明了以上结果的有效性。

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