Distributed H∞ control of multi-agent systems with directed networks

doi:10.1088/1674-1056/24/9/090208

Abstract This paper studies the distributed H_∞ control problem of identical linear time invariant multi-agent systems subject to external disturbances. A directed graph containing a spanning tree is used to model the communication topology. Based on the relative states of the neighbor agents and a subset of absolute states of the agents, distributed static H_∞ controllers are proposed. The concept of an H_∞ performance region is extended to the directed graph situation. Then the results are used to solve the leader-follower H_∞ consensus problem. Sufficient conditions are proposed based on bounded real lemma and algebraic graph theory. The effectiveness of the theoretical results is illustrated via numerical simulations.

Keywords: multi-agent systems H_∞ control performance region leader-follower H_∞ consensus

Received: 23 December 2014
Revised: 16 March 2015
Accepted manuscript online:

PACS:	02.30.Yy	(Control theory)
	89.75.-k	(Complex systems)
	05.65.+b	(Self-organized systems)
	05.45.Xt	(Synchronization; coupled oscillators)

Corresponding Authors: Liu Wei
E-mail: weiliu.sd.china@hotmail.com

Cite this article:

Liu Wei (刘伟), Liu Ai-Li (柳爱利), Zhou Shao-Lei (周绍磊) Distributed H_∞ control of multi-agent systems with directed networks 2015 Chin. Phys. B 24 090208

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Distributed H_∞ control of multi-agent systems with directed networks