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${H}_{\infty }$ consensus control of multi-agent systems with switching topology: a dynamic output feedback protocol. (English) Zbl 1222.93065
Summary: This article is devoted to the consensus control for switching networks of multiple agents with linear coupling dynamics and subject to external disturbances, which is transformed into an ${H}_{\infty }$ control problem by defining an appropriate controlled output. On this basis, a distributed dynamic output feedback protocol is proposed with an undetermined system matrix, and a condition in terms of Linear Matrix Inequalities (LMIs) is derived to ensure consensus of the multi-agent system with a prescribed ${H}_{\infty }$ level. Furthermore, the system matrix of the protocol is designed by solving two LMIs. A numerical example is included to illustrate the effectiveness of the proposed consensus protocol.
##### MSC:
 93B36 ${H}^{\infty }$-control 93A14 Decentralized systems 93B52 Feedback control