Distributed H∞ control of multi-agent systems over randomly switching topologies
Jingyao Wang, Zhisheng Duan, Guanghui Wen, Yuqing Hao · 2017
This paper considers the H∞consensus control synthesized with transient performance problem for networked agents with linear or linearized dynamics subject to external disturbance. We assume the communication graph among these agents is switched subject to Markovian switching law. To solve this problem, we introduce the class of noble state-feedback controllers which solely requires the local information available to each agent. We also present the algorithm to design the distributed state-feedback controllers. The algorithm has the feature of decoupling the effect of the agent and controller dynamics on the consensus stability from that of the communication topology. At the end of this paper, we present a numerical simulation example to verify the theoretical results.