Event based guaranteed cost consensus for distributed multi-agent systems.

*(English)*Zbl 1395.93086Summary: To investigate the energy consumption involved in an event based control scheme, the problem of event based guaranteed cost consensus for distributed multi-agent systems with general linear time invariant dynamics is considered in this paper. A delay system method is used to transform the multi-agent systems into a special delay system based on a sampled-data event triggering mechanism, which only requires supervision of system states at discrete instants. Sufficient conditions to achieve the consensus with guaranteed cost are presented and expressed as a continuous constrained optimization problem with a linear objective function, linear and bilinear matrix inequalities constraints, involving the co-design of the controller gain matrix and event triggering parameters. An illustrative example is given to show the effectiveness of the proposed approach.

##### MSC:

93A14 | Decentralized systems |

68T42 | Agent technology and artificial intelligence |

93C57 | Sampled-data control/observation systems |

93B51 | Design techniques (robust design, computer-aided design, etc.) |

93C65 | Discrete event control/observation systems |

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\textit{X. Zhou} et al., J. Franklin Inst. 352, No. 9, 3546--3563 (2015; Zbl 1395.93086)

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