高阶离散时间多智能体系统的量化一致性

Abstract

Abstract: We investigate the consensus problem of high-order discrete-time linear multi-agent systems (HDLMAS) under directed information topology with quantized link in this paper. Firstly, we propose a linear consensus protocol which consists of quantized information of the agent itself and its neighbors. Secondly, we solve the quantized consensus problem by proposing a linear transformation to translate it into a stability problem. Based on stability theory, we obtain necessary and sufficient criteria in terms of Schur stability of matrices, and present an analytical expression of the consensus function, which is depended on the communication topology, the system dynamic and the initial states of the whole system. Finally, we propose a design procedure of the gain matrices in the protocol by solving an algebraic Riccati inequality.

Key words: High-order discrete-time linear multi-agent systems (HDLMAS), Quantized consensus, Directed topology, Consensus criterion, Consensus function

CLC Number:

TP13

Ge Yanrong, Qi Yaohui, Chen Yangzhou, Song Xuejun. Consensus of High-Order Discrete-Time Multi-Agent Systems with Quantized Information[J].Acta mathematica scientia,Series A, 2017, 37(6): 1176-1188.

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Consensus of High-Order Discrete-Time Multi-Agent Systems with Quantized Information

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