Consensus and performance optimisation of multi‐agent systems with position‐only information via impulsive control. Issue 1 (1st January 2013)

• Record Type: Journal Article
• Authors: Ding, Li; Yu, Pian; Liu, Zhi‐Wei; Guan, Zhi‐Hong
• Is Part Of: IET control theory & applications. Volume 7:Issue 1(2013)
• Page Start: 16
• Page End: 24
• Publication Date: 2013-01-01
• Subjects: convergence -- eigenvalues and eigenfunctions -- matrix algebra -- multi‐agent systems -- optimisation -- sampling methods -- topology; performance optimisation -- consensus optimisation -- multiagent systems -- position‐only information -- impulsive control -- second‐order multiagent systems -- MAS -- sampling period -- second‐order consensus -- impulsive consensus algorithms -- Laplcian matrix -- nonzero imaginary part -- convergence performance -- convergence speed -- asymptotical decay factor -- per‐step decay factor -- error energy -- topology structure; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2012.0461
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : In this study, the consensus problem of second‐order multi‐agent systems (MAS) with position‐only information is studied. Allowable sampling period for which second‐order consensus can be achieved is obtained with two impulsive consensus algorithms. It is shown that if there is at least one eigenvalue of the Laplcian matrix with a non‐zero imaginary part, consensus cannot be achieved for sufficiently small or large impulsive periods for both algorithms. Furthermore, the convergence performance of the MAS is optimised. Convergence speed, asymptotical decay factor and per‐step decay factor of the error energy are utilised to investigate the convergence performance, and the relationship among impulsive period, topology structure and convergence performance is derived. Finally, numerical examples are given to validate our theoretical results.