Distributed leader‐follower consensus for a class of semilinear second‐order multiagent systems using time scale theory. (13th November 2018)

• Record Type: Journal Article
• Authors: Babenko, Serhii; Defoort, Michael; Djemai, Mohamed; Nicaise, Serge
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 2(2019)
• Page Start: 433
• Page End: 450
• Publication Date: 2018-11-13
• Subjects: consensus -- Lyapunov function -- multiagent systems -- nonuniform time domain -- time scale; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4406
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: The problem of distributed leader‐follower consensus for second‐order linear multiagent systems with unknown nonlinear inherent dynamics is investigated in this paper. It is assumed that the dynamic of each agent is described by a semilinear second‐order dynamic equation on an arbitrary time scale. Using calculus on time scales and direct Lyapunov's method, some sufficient conditions are derived to ensure that the tracking errors exponentially converge to zero. Some numerical results show the effectiveness of the proposed scheme.