Consensus for discrete-time heterogeneous networked systems consisting of third-order and first-order agents under fixed and switching topologies. (June 2018)

• Record Type: Journal Article
• Authors: Zhao, Huanyu; Fei, Shumin
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 40:Number 9(2018)
• Page Start: 2748
• Page End: 2755
• Publication Date: 2018-06
• Subjects: Consensus -- heterogeneous system -- multi-agent system -- switching topology; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331217737361
• Languages: English
• ISSNs: 0142-3312

Abstract

This paper investigates the consensus problem for heterogeneous multi-agent systems consisting of third-order and first-order agents. The interaction topology includes both fixed and switching cases. First, by a model transformation, heterogeneous multi-agent systems are converted into equivalent error systems. Then we analyze the consensus problem of the multi-agent systems by analyzing the stability problem of the error systems. For a fixed topology, a sufficient condition for consensus of heterogeneous multi-agent systems is obtained based on algebraic graph theory and linear system theory. For a switching topology, a necessary and sufficient condition for mean-square consensus of multi-agent systems is obtained based on algebraic graph theory and Markovian jump system theory. Finally, we give some simulation examples.