H∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies

doi:10.1088/1674-1056/28/1/010703

中国物理B ›› 2019, Vol. 28 ›› Issue (1): 10703-010703.doi: 10.1088/1674-1056/28/1/010703

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

H_∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies

Muyun Fang(方木云), Cancan Zhou(周灿灿), Xin Huang(黄鑫), Xiao Li(李晓), Jianping Zhou(周建平)

1 School of Computer Science and Technology, Anhui University of Technology, Ma'anshan 243032, China;
2 School of Computer Science and Technology, Huaibei Normal University, Huaibei 235000, China

收稿日期:2018-09-28 修回日期:2018-11-10 出版日期:2019-01-05 发布日期:2019-01-05
通讯作者: Jianping Zhou E-mail:jpzhou0@gmail.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61503002 and 61573008).

H_∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies

Muyun Fang(方木云)¹, Cancan Zhou(周灿灿)¹, Xin Huang(黄鑫)¹, Xiao Li(李晓)², Jianping Zhou(周建平)¹

1 School of Computer Science and Technology, Anhui University of Technology, Ma'anshan 243032, China;
2 School of Computer Science and Technology, Huaibei Normal University, Huaibei 235000, China

Received:2018-09-28 Revised:2018-11-10 Online:2019-01-05 Published:2019-01-05
Contact: Jianping Zhou E-mail:jpzhou0@gmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61503002 and 61573008).

摘要/Abstract

摘要：

The paper addresses the issue of H_∞ couple-group consensus for a class of discrete-time stochastic multi-agent systems via output-feedback control. Both fixed and Markovian switching communication topologies are considered. By employing linear transformations, the closed-loop systems are converted into reduced-order systems and the H_∞ couple-group consensus issue under consideration is changed into a stochastic H_∞ control problem. New conditions for the mean-square asymptotic stability and H_∞ performance of the reduced-order systems are proposed. On the basis of these conditions, constructive approaches for the design of the output-feedback control protocols are developed for the fixed communication topology and the Markovian switching communication topologies, respectively. Finally, two numerical examples are given to illustrate the applicability of the present design approaches.

关键词: multi-agent system, couple-group consensus, output feedback control, switching topologies

Abstract:

Key words: multi-agent system, couple-group consensus, output feedback control, switching topologies

中图分类号: (Control systems)

07.05.Dz

05.10.-a (Computational methods in statistical physics and nonlinear dynamics)

方木云, 周灿灿, 黄鑫, 李晓, 周建平. H_∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies[J]. 中国物理B, 2019, 28(1): 10703-010703.

Muyun Fang(方木云), Cancan Zhou(周灿灿), Xin Huang(黄鑫), Xiao Li(李晓), Jianping Zhou(周建平). H_∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies[J]. Chin. Phys. B, 2019, 28(1): 10703-010703.

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H_∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies

H_∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies

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