Generalised exponential consensus of the fractional-order nonlinear multi-agent systems via event-triggered control. Issue 6 (26th April 2019)

• Record Type: Journal Article
• Authors: Shi, Min; Hu, Songlin; Yu, Yajuan
• Is Part Of: International journal of systems science. Volume 50:Issue 6(2019)
• Page Start: 1244
• Page End: 1251
• Publication Date: 2019-04-26
• Subjects: Consensus -- multi-agent system -- fractional-order nonlinear system -- event-triggered control; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2019.1598510
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: In this paper, the leader-following consensus problem of the fractional-order nonlinear multi-agent systems via event-triggered control is considered. An effective event-triggered controller is designed and then generalised exponential consensus of the controlled multi-agent systems is studied in the sense of Mittag-Leffler stability of fractional-order systems. The event-triggering function design is dependent on the parameter of the system structure and the minimum inter-event interval can be flexibly adjusted with different fractional-order α . With the event-triggered control scheme, the consensus condition is obtained and the convergence rate of the system is estimated. Numerical simulation indicates the effectiveness of the theoretical results.