Exponential Consensus of Multiagent Systems With Lipschitz Nonlinearities Using Sampled-Data Information Academic Article

abstract

• 2004-2012 IEEE. In this paper, exponential consensus of general linear multiagent systems with Lipschitz nonlinear dynamics using sampled-data information is investigated. Both leaderless and leader-following consensuses are considered. Using input-delay approach, the resulting sampled-data closed-loop systems are first reformulated as continuous systems with time-varying delay in the control input. Then, decoupled conditions in terms of linear matrix equality (LMI) on the Lipschitz constant, the decay rate, the communication graph parameters, and the control gain matrix to guarantee exponential consensus are derived using novel Lyapunov functionals. Based on the sufficient conditions, controller design methods are also provided in the form of decoupled LMIs. Finally, simulation examples including the consensus of Chua's circuit systems are given to illustrate the effectiveness of the obtained results.

authors

• Huang, Tingwen

published proceedings

• IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS

author list (cited authors)

• Fu, J., Wen, G., Yu, W., Huang, T., & Cao, J.

citation count

• 54

complete list of authors

• Fu, Junjie||Wen, Guanghui||Yu, Wenwu||Huang, Tingwen||Cao, Jinde

publication date

• December 2018

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Circuits and Systems I: Regular Papers  Journal

keywords

• Chua's Circuit System
• Exponential Consensus
• Lipschitz Nonlinearity
• Multi-agent System
• Sampled-data Information

Digital Object Identifier (DOI)

• 10.1109/TCSI.2018.2833166

start page

• 4363

end page

• 4375

volume

• 65

issue

• 12

URL

• http://dx.doi.org/10.1109/tcsi.2018.2833166