Guaranteed cost consensus analysis of discrete-time high-order uncertain linear multi-agent systems
XU Jun
ZHANG Guo-liang
ZENG Jing
TANG Wen-jun
HUANG Xin
Abstract：A guaranteed cost consensus problem of discrete-time high-order linear multi-agent systems with parameter uncertainties is studied, and a linear consensus protocol of it is designed in this paper. Firstly, the consensus problem is transformed into a stability problem of a group of general discrete-time uncertain linear systems via a model transformation method. Secondly, by constructing a suitable Lyapunov function and using the stability theory of discrete-time linear sys-tems, a sufficient LMI condition is derived to insure that the discrete-time high-order uncertain linear multi-agent systems achieve guaranteed cost consensus. Thirdly, convergence results are given as consensus function sequences of discrete-time high-order linear multi-agent systems with parameter uncertainties. Finally, a contrast numerical experiment with uncertain parameters is provided to demonstrate the correctness and effectiveness of the theoretical results.
Keywords：uncertain systemsdiscrete-timemulti-agent systemsconsensusguaranteed cost
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：8( 841-848 )