Consensus of linear multi-agent systems with exogenous disturbance generated from heterogeneous exosystems. Issue 15 (18th November 2017)

• Record Type: Journal Article
• Authors: Zhang, Xuxi; Liu, Xianping
• Is Part Of: International journal of systems science. Volume 48:Issue 15(2017)
• Page Start: 3147
• Page End: 3159
• Publication Date: 2017-11-18
• Subjects: Multi-agent systems -- disturbance observer -- input-to-state stability -- dynamic gain -- heterogeneous exosystem; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2017.1367432
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: This paper addresses the consensus tracking problem for multi-agent linear systems subject to exogenous disturbances generated from heterogeneous exosystems. For the case that the disturbances are generated from linear heterogeneous exosystems, a linear disturbance observer and distributed control law are proposed, and sufficient condition for consensus tracking is established by combining the input-to-state stability and Lyapunov analysis methods. For the case when the disturbances are generated from non-linear heterogeneous exosystems, a non-linear disturbance observer is presented to estimate such disturbance by using the dynamic gain technique; then, a distributed control law is designed, and sufficient condition is also presented for achieving consensus tracking. Two simulation examples are provided to demonstrate the effectiveness of the proposed consensus protocols.