Interval Observer Design and Consensus of MultiAgent Systems with Time-Varying Interval Uncertainties
Xiaoling Wang, Housheng Su, Fan Zhang, Ali Zemouche, Guanrong Chen
Abstract
In this paper, the consensus problem of networked multiagent systems (MASs) with time-varying interval uncertain system and output matrices is considered, where the uncertain matrices are bounded by some constant intervals. For this kind of uncertain MAS under a directed graph containing a directed spanning tree, a local interval observer relating only to the bounding information on the uncertainties is introduced to estimate the absolute state of each agent and to implement a robust consensus. Then, a neighborhood framer is designed for this kind of MAS, to estimate the sum of the relative states between each agent and its neighbors, which is used to achieve the desired robust consensus of the systems. Numerical simulations are presented to show the effectiveness of the theoretical results.