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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Admissible consensus and consensualization of high-order linear time-invariant singular swarm systems
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Admissible consensus and consensualization of high-order linear time-invariant singular swarm systems

机译：高阶线性时不变奇异群系统的可容许共识和共识

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摘要

Admissible consensus analysis and consensualizing controller design problems for high-order linear time-invariant singular swarm systems are investigated. Firstly, by projecting the state of a singular swarm system onto a consensus subspace and a complement consensus subspace, a necessary and sufficient condition for admissible consensus is presented in terms of linear matrix inequalities (LMIs). An approach to decrease the calculation complexity is proposed, by which only three LMIs independent of the number of agents need to be checked. Then, by using the changing variable method, sufficient conditions for admissible consensualization are shown. An explicit expression of the consensus function is given, and it is shown that the modes of the consensus function can be arbitrarily placed if each agent is R-controllable and impulse controllable and the interaction topology has a spanning tree. Finally, theoretical results are applied to deal with cooperative control problems of multi-agent supporting systems.
机译：研究了高阶线性时不变奇异群系统的可容许共识分析和共识控制器设计问题。首先，通过将奇异群系统的状态投影到共识子空间和补码共识子空间上，以线性矩阵不等式（LMI）提出了可接受共识的充要条件。提出了一种降低计算复杂度的方法，通过该方法，只需要检查三个LMI（与代理程序数量无关）即可。然后，通过使用可变变量方法，显示了可接受的共识的充分条件。给出了共识函数的显式表示，并且表明，如果每个代理都是R可控的和脉冲可控的，并且交互拓扑具有生成树，则可以任意放置共识函数的模式。最后，将理论结果应用于解决多主体支持系统的协同控制问题。

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