具有参考时变状态的多智能体的H∞一致性

广东工业大学学报 ›› 2011, Vol. 28 ›› Issue (3): 83-86.

具有参考时变状态的多智能体的H∞一致性

1.广东工业大学应用数学学院，广东广州510520;2.三峡大学理学院，湖北宜昌 443002

出版日期:2010-10-06 发布日期:2010-10-06
作者简介:朱婧丽（1987-）,女，硕士研究生，主要研究方向为复杂网络协调控制.

H∞ Consensus of Multiagent Network with a TimeVarying Reference State

1.Faculty of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China; 2.College of science, China Three Gorges University, Yichang 443002,China

Online:2010-10-06 Published:2010-10-06

摘要/Abstract

摘要： 考虑了具有参考时变状态的多智能体时滞网络的鲁棒一致性问题.通过定义一个恰当的控制输出，将这个问题转化为一个鲁棒H∞控制，提出了一个参考时变状态的控制协议.应用线性矩阵不等式（LMI）的方法，得到了具有参考时变状态的多智能体时滞网络的鲁棒一致性收敛的充分条件.最后，通过仿真示例对理论结果的有效性进行了验证.


关键词: 一致性;多智能体;线性矩阵不等式;H∞控制

Abstract: The Robust consensus of multiagent time delay network with a timevarying reference state is introduced. By defining a proper controlled output, this problem was transferred into a H∞ control problem. Then, a control protocol with a timevarying reference state was proposed. Sufficient conditions were obtained to ensure multiagent consensus with a timevarying reference state by applying linear matrix inequalities (LMIs) techniques. Finally, simulation was presented to validate the theoretical results.

Key words: Consensus; Multiagent; LMIs; H∞ control

朱婧丽1, 金朝永1, 郭红萍2. 具有参考时变状态的多智能体的H∞一致性[J]. 广东工业大学学报, 2011, 28(3): 83-86.

ZHU Jing-Li1, JIN Chao-Yong1, GUO Hong-Ping2. H∞ Consensus of Multiagent Network with a TimeVarying Reference State[J]. Journal of Guangdong University of Technology, 2011, 28(3): 83-86.

参考文献

［1］ Ren W. Multivehicle consensus with a timevarying reference state ［J］. System and Control Letters, 2007, 56 (7-8): 474-483.

［2］ Ren W, Atldns E. Distributed multivehicle coordinated control via local infromation exchange ［J］. International〖LL〗

Journalof Robust and Nonlinear Control, 2007, 17 (10):1 002-1 033.
［3］ Ren W. On consensus algorithms for double integrator dynamics ［J］. IEEE Transactions on Automatic Contro1, 2008, 53 (6): 1 503-1 509.

［4］ Hu J P, Hong Y G. Leaderfollowing corrdination of multi-agent systems with coupling time delays ［J］. Physica A, 2006, 374 (2): 853-863. 

［5］ Lin P,Jia Y M, Li L. Distributed robust H∞ consensus control in directed networks of agents with timedelay ［J］. Systems & Control Letters, 2008, 57 (8): 643653.

［6］ Li H,Lin P, Zhang C X. L2-L∞control for leaderfollowing coordination of secondorder multiagent systems ［J］. Acta Physica Sinica, 2009, 58 (1): 158164.

［7］ Liu Y, Jia Y M. H∞ consensus control of multiagent systems with switch topology: a dynamic output feedback protocol ［J］. International Joural of Control, 2010,83(3):527-537.

［8］ Li Z K, Duan Z H, Huang L.H∞ consensus control of networked multi-agent systems ［J］. Journal of Systems Science and Complexity, 2009, 22(1):35-48.

［9］ Biggs N. Algebraic Graph Theory ［M］. UK:Cambridge Uniersity Press: Cambridge, 1974. 〖ZK)〗

［10］ Dullerud G E，Paganini F.A Course in Robust control Theory: A Convex Approach ［C］∥Series in Texts in Applied Mathematics(Vol 36). London:SpringerVerlag,2000.

［11］俞立. 鲁棒控制——线性矩阵不等式处理方法［M］. 北京: 清华大学出版社, 2002.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed