Guaranteed-Cost Consensus for Singular Multi-Agent Systems With Switching Topologies

Guaranteed-Cost Consensus for Singular Multi-Agent Systems With Switching Topologies
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具有交换拓扑的单一多智能体系统的保证成本共识

DOI:
10.1109/tcsi.2013.2289399
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发表时间:
2014-01
影响因子:
5.1
通讯作者:
Zhong Yisheng
Zhong Yisheng
中科院分区:
工程技术2区
文献类型:
--
作者:
Xi Jianxiang;Yu Yao;Liu Guangbin;Zhong Yisheng

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研究了具有切换拓扑的高阶广义多智能体系统的保成本一致性问题。首先,为实现一致性调节性能和控制能耗之间的折衷设计目标,引入了由智能体状态误差和控制输入构成的二次型代价函数和代价一致性问题.然后,基于线性矩阵不等式技术,分别给出了广义多智能体系统的代价一致性和一致化的充分条件,这些条件中所有变量的维数与智能体的数量无关,从而保证了广义多智能体系统的可扩展性.在第二等价形式的基础上给出了一致性函数的显式表达式,并证明了一致性函数依赖于所有智能体初始状态的平均值,而与切换拓扑无关.最后给出了理论结果在多智能体支持系统中的应用。
Guaranteed-cost consensus problems for high-order singular multi-agent systems with switching topologies are investigated. Firstly, to achieve a trade-off design object between consensus regulation performances and control energy consumptions, a quadratic cost function is constructed by state errors among agents and control inputs of all agents and guaranteed-cost consensus problems are introduced. Then, based on linear matrix inequality techniques, sufficient conditions for guaranteed-cost consensus and consensualization are presented respectively, which can guarantee the scalability of singular multi-agent systems since the dimensions of all the variables in these conditions are independent of the number of agents. Moreover, an upper bound of the cost function is determined, explicit expressions of consensus functions are given on the basis of the Second Equivalent Form, and it is shown that consensus functions are dependent on the average of initial states of all agents but are independent of switching topologies. Finally, the applications of theoretical results in multi-agent supporting systems are shown.
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