Output agreement in high-dimensional multi-agent systems

Authors:
Guangming Xie;Long Wang;Yingmin Jia
Affiliations:
Center for Systems and Control, College of Engineering, Peking University, Beijing, P.R. China and School of Electrical & Electronics Engineering, East China Jiaotong University, Nanchang, P.R ...;Center for Systems and Control, College of Engineering, Peking University, Beijing, P.R. China;The Seventh Research Division, Beihang University, Beijing, P.R. China
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

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Abstract

In this paper, the output agreement problem for networks of dynamic agents based on high-order state-space descriptions is formulated and investigated. The agent dynamics is described by a time-invariant linear system with matrices A,B and C. The agreement problem, concerning the calculation of an agreed value based on the agent outputs, is proposed for such a class of networks. A linear state feedback control protocol for such networks is established for solving such an agreement problem. The control protocol includes two parts: a local state feedback controller and the interactions among the finite neighbors. A sufficient condition for the existence of such a control protocol is given. The corresponding design algorithm is presented, as well. Some numerical simulations are presented, which are consistent with our theoretical results.