Guaranteed‐Cost Consensus Control For High‐Order Linear Swarm Systems
Xiaogang Yang, Jianxiang Xi, Jinying Wu, Zhicheng Yao · Asian Journal of Control · 2015
Abstract Guaranteed‐cost consensus analysis and design problems for high‐order linear time‐invariant swarm systems are dealt with in this paper. First, a guaranteed‐cost consensus control problem is introduced to obtain a trade‐off design object between consensus regulation performances and control energy consumptions. Then, sufficient conditions for guaranteed‐cost consensus and consensualization are presented respectively, an upper bound of the cost function is determined, and explicit expressions of consensus functions are given, which are independent of interaction topologies of swarm systems. Finally, a numerical example is shown to demonstrate theoretical results.