Consensus in second-order Markovian jump multi-agent systems via impulsive control using sampled information with heterogenous delays

详细信息    查看全文

• 作者：Jing-Wen Yi ; Yan-Wu Wang ; Jiang-Wen Xiao and Yang Chen
• 刊名：Asian Journal of Control
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：18
• 期：5
• 页码：1940-1949
• 全文大小：483K
• ISSN：1934-6093

文摘

This paper investigates the consensus problem of second-order Markovian jump multi-agent systems with delays. Both network-induced random delay and node-induced state delay are considered, where the network-induced random delay, subjected to a Markov chain, exists in the switching signal and the node-induced state delay, related to switching topologies, is heterogeneous between any two linked agents. In order to reduce communication and control energy, an impulsive protocol is proposed, where each agent only can get delayed relative positions to neighbors and the velocity of itself at impulsive instants. By performing three steps of model transformation and introducing a mapping for two independent Markov chains, the consensus problem of the original continuous-time system is equivalent to the stability problem of a discrete-time expand error system with two Markovian jumping parameters and a necessary and sufficient criterion is derived. A numerical example is given to illustrate the effectiveness of the theoretical result.@@@@This work is supported by the National Natural Science Foundation of China under Grants 61374171, 61572210, and 51537003, the Fundamental Research Funds for the Central Universities (2015TS030), and the Program for Changjiang Scholars and Innovative Research Team in University (IRT1245).