Decentralized H∞ consensus protocol for a class of high‐order multiagent systems. (18th January 2016)

• Record Type: Journal Article
• Authors: Rezaee, Hamed; Abdollahi, Farzaneh
• Is Part Of: International journal of robust and nonlinear control. Volume 26:Number 15(2016)
• Page Start: 3330
• Page End: 3343
• Publication Date: 2016-01-18
• Subjects: consensus -- directed communication topology -- high‐order -- H∞optimization -- multiagent systems; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.3509
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This paper proposes a consensus protocol for a class of high‐order multiagent systems under directed networks. It is supposed that each agent is exposed to an external disturbance additive to its control input. Based on the H ∞ optimization theory, the consensus protocol gains are designed in order to attenuate the effects of the external disturbances on the performance of the multiagent system. The main problem of existing H ∞ high‐order consensus protocols in the literature is the dependency of the design on the information of coupling matrices associated with networks topologies. Despite existing H ∞ high‐order consensus protocols in the literature, the proposed consensus protocol can be designed in a fully decentralized manner based on no global information. The main idea of the design is to propose an H ∞ control formulation in which the coupling information of the agents is considered as exogenous signals, while the coupling effects of these signals lead to achieving consensus in the multiagent system. Numerical examples verify the effectiveness of the proposed consensus protocol. Copyright © 2016 John Wiley & Sons, Ltd.