Consensus for linear multi-agent system with intermittent information transmissions using the time-scale theory. Issue 1 (2nd January 2016)

• Record Type: Journal Article
• Authors: Taousser, Fatima; Defoort, Michael; Djemai, Mohamed
• Is Part Of: International journal of control. Volume 89:Issue 1(2016)
• Page Start: 210
• Page End: 220
• Publication Date: 2016-01-02
• Subjects: time scale -- multi-agent system -- consensus -- intermittent information -- switched linear system -- directed graph; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2015.1065544
• Languages: English
• ISSNs: 0020-7179

Abstract

Abstract : This paper investigates the consensus problem for linear multi-agent system with fixed communication topology in the presence of intermittent communication using the time-scale theory. Since each agent can only obtain relative local information intermittently, the proposed consensus algorithm is based on a discontinuous local interaction rule. The interaction among agents happens at a disjoint set of continuous-time intervals. The closed-loop multi-agent system can be represented using mixed linear continuous-time and linear discrete-time models due to intermittent information transmissions. The time-scale theory provides a powerful tool to combine continuous-time and discrete-time cases and study the consensus protocol under a unified framework. Using this theory, some conditions are derived to achieve exponential consensus under intermittent information transmissions. Simulations are performed to validate the theoretical results.