Edge agreement of second-order multi-agent system with dynamic quantization via the directed edge Laplacian. (February 2017)

• Record Type: Journal Article
• Authors: Zeng, Zhiwen; Wang, Xiangke; Zheng, Zhiqiang; Zhao, Lina
• Is Part Of: Nonlinear analysis. Volume 23(2017)
• Page Start: 1
• Page End: 10
• Publication Date: 2017-02
• Subjects: Edge agreement -- Edge Laplacian -- Model reduction -- Dynamic quantization; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2016.05.006
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This work explores the edge agreement problem of second-order multi-agent systems with dynamic quantization under directed communication. To begin with, by virtue of the directed edge Laplacian, we propose a model reduction representation of the closed-loop multi-agent system depending on the spanning tree subgraph. Considering the limitations of the finite bandwidth channels, the quantization effects of second-order multi-agent systems under directed graph are considered. The static quantizers generally contain a fixed quantization interval and infinite quantization level, which are, to some extent, inefficient and impractical. To further reduce the bit depth (number of bits available) and to obtain better precision, the dynamic quantized communication strategy referring to zooming in-zooming out scheme is required. Based on the reduced model associated with the essential edge Laplacian, the asymptotic stability of second-order multi-agent systems under dynamic quantized effects with only finite quantization level can be guaranteed. Finally, the simulation of altitude alignment of micro air vehicles is provided to verify the theoretical results.