高阶多智能体系统在切换拓扑下的完全分布式保证性能共识方法
Completely Distributed Guaranteed-performance Consensualization for High-order Multiagent Systems with Switching Topologies
AI总结：
本文提出了一种适应性共识协议，通过Riccati不等式建立适应性保证性能共识准则，并利用线性矩阵不等式调节共识控制增益和性能代价，扩展至Lipschitz非线性系统。
摘要：
本文针对高阶线性和非线性多智能体系统在切换拓扑下的保证性能共识问题，提出了一种完全分布式的方法。该方法通过自适应调整邻居间的交互权重，并调节所有智能体的状态误差，基于Riccati不等式给出了适应性保证性能共识准则。进一步，通过线性矩阵不等式提出调节共识控制增益和保证性能代价的方法，并将线性多智能体系统的结论扩展至Lipschitz非线性情况。最后，通过两个数值例子验证了理论结果。
英文摘要：
The guaranteed-performance consensualization for high-order linear and nonlinear multiagent systems with switching topologies is respectively realized in a completely distributed manner in the sense that consensus design criteria are independent of interaction topologies and switching motions. The current paper firstly proposes an adaptive consensus protocol with guaranteed-performance constraints and switching topologies, where interaction weights among neighboring agents are adaptively adjusted and state errors among all agents can be regulated. Then, a new translation-adaptive strategy is shown to realize completely distributed guaranteed-performance consensus control and an adaptive guaranteed-performance consensualization criterion is given on the basis of the Riccati inequality. Furthermore, an approach to regulate the consensus control gain and the guaranteed-performance cost is proposed in terms of linear matrix inequalities. Moreover, main conclusions for linear multiagent systems are extended to Lipschitz nonlinear cases. Finally, two numerical examples are provided to demonstrate theoretical results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
