H∞ consensus control of a class of second-order multi-agent systems without relative velocity measurement

doi:10.1088/1674-1056/19/7/070518

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70518-070518.doi: 10.1088/1674-1056/19/7/070518

H_∞ consensus control of a class of second-order multi-agent systems without relative velocity measurement

张文广¹, 曾德良¹, 郭振凯²

(1)Beijing Key Laboratory of Measurement and Control New Technology and System for Industrial Process, Control & Computer Engineering School, North China Electric Power University, Beijing 102206, China; (2)School of Mathematics and Information, Ludong University, Yantai 264025, China

出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
Project supported by the National High Technology Research and Development Program of China (Grant Nos. 2007AA041104, 2007AA041105 and 2007AA04Z163).

H_$\infty$ consensus control of a class of second-order multi-agent systems without relative velocity measurement

Zhang Wen-Guang (张文广)^a, Zeng De-Liang (曾德良)^a, Guo Zhen-Kai (郭振凯)^b

^a Beijing Key Laboratory of Measurement and Control New Technology and System for Industrial Process, Control & Computer Engineering School, North China Electric Power University, Beijing 102206, China; ^b School of Mathematics and Information, Ludong University, Yantai 264025, China

Online:2010-07-15 Published:2010-07-15
Supported by:
Project supported by the National High Technology Research and Development Program of China (Grant Nos. 2007AA041104, 2007AA041105 and 2007AA04Z163).

摘要/Abstract

摘要： This paper studies consensus control problems for a class of second-order multi-agent systems without relative velocity measurement. Some dynamic neighbour-based rules are adopted for the agents in the presence of external disturbances. A sufficient condition is derived to make all agents achieve consensus while satisfying desired H_∞ performance. Finally, numerical simulations are provided to show the effectiveness of our theoretical results.

Abstract: This paper studies consensus control problems for a class of second-order multi-agent systems without relative velocity measurement. Some dynamic neighbour-based rules are adopted for the agents in the presence of external disturbances. A sufficient condition is derived to make all agents achieve consensus while satisfying desired H_$\infty$ performance. Finally, numerical simulations are provided to show the effectiveness of our theoretical results.

Key words: consensus control, H_$\infty$, second-order multi-agent systems

中图分类号: (Control theory)

02.30.Yy

02.60.Cb (Numerical simulation; solution of equations) 02.10.Ox (Combinatorics; graph theory) 02.10.Ud (Linear algebra)

张文广, 曾德良, 郭振凯. H_∞ consensus control of a class of second-order multi-agent systems without relative velocity measurement[J]. 中国物理B, 2010, 19(7): 70518-070518.

Zhang Wen-Guang (张文广), Zeng De-Liang (曾德良), Guo Zhen-Kai (郭振凯). H_$\infty$ consensus control of a class of second-order multi-agent systems without relative velocity measurement[J]. Chin. Phys. B, 2010, 19(7): 70518-070518.

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H_∞ consensus control of a class of second-order multi-agent systems without relative velocity measurement

H_$\infty$ consensus control of a class of second-order multi-agent systems without relative velocity measurement

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H∞ consensus control of a class of second-order multi-agent systems without relative velocity measurement

H$\infty$ consensus control of a class of second-order multi-agent systems without relative velocity measurement

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H_∞ consensus control of a class of second-order multi-agent systems without relative velocity measurement

H_$\infty$ consensus control of a class of second-order multi-agent systems without relative velocity measurement