Improved H∞ consensus of multi-agent systems under network constraints within multiple disturbances. Issue 10 (2nd October 2016)

• Record Type: Journal Article
• Authors: Cui, Yanliang; Fei, Minrui; Du, Dajun
• Is Part Of: International journal of control. Volume 89:Issue 10(2016)
• Page Start: 2107
• Page End: 2120
• Publication Date: 2016-10-02
• Subjects: Multi-agent systems -- H∞ consensus -- switching topologies -- time-varying delays -- measurement disturbances -- topology stochastic noises; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2016.1149222
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: This paper investigates the H ∞ mean square consensus issue of leader-following multi-agent systems (MASs) over connected networks with time-varying delays, topology changes and multiple disturbances (i.e., measurement disturbances and topology stochastic noises). To achieve the consensus, a time-delayed distributed cooperative control strategy is first proposed. For suppressing the influence of data transmission disturbances, an improved point-to-area H ∞ index is designed as a system robustness performance. With the aid of Itô formula and congruence transformation, a time-delay-dependent Markovian switching controller design method is presented. The proposed method not only guarantees the mean square exponential consensus of MASs, but also has a feature of robustness to communication imperfections. Remarkably, compared with the existing literatures, the proposed method is more feasible because no extra supplementary condition is required. Finally, a numerical example is given to demonstrate the effectiveness of the proposed design approach.