Robust guaranteed cost consensus for high-order discrete-time multi-agent systems with directed graphs

Abstract

A robust guaranteed cost consensus problem of discrete-time high-order uncertain linear multi-agent systems with directed graphs is studied in this paper. Firstly, the robust guaranteed cost consensus problem of high-order uncertain linear multi-agent systems is transformed to a robust guaranteed control problem of an uncertain system. Secondly, a sufficient LMI condition insuring the guaranteed cost consensus of discrete-time high-order uncertain linear multi-agent systems is derived, and convergence results are given as consensus function sequences of discrete-time high-order uncertain linear multi-agent systems. At last, a numerical example is provided to demonstrate the correctness and effectiveness of the theoretical results.