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Designing an H∞ fuzzy LMI-based consensus protocol for nonlinear multi-agent systems
conference contributionposted on 2019-01-01, 00:00 authored by P Tabarisaadi, Abbas KhosraviAbbas Khosravi, Saeid Nahavandi
© 2019 IEEE. consensus problem of multi agent systems catch great attention in recent years. It is mainly due to its vast applications. Designing an appropriate control protocol that guarantees the desired agreement between the agents is the main purpose of the consensus problem. A linear matrix inequality (LMI)-based approach for the H∞ consensus of leader-follower nonlinear multi-agent system (MAS) is proposed in this paper. In the proposed framework, fuzzy Lyuponov function (FLF) is chosen. Some slack matrices are introduced to decouple the Lyapunov matrices from the systems' one which provide more degrees of freedom to the consensus problem and leads to decrease the conservativeness. As a result, sufficient conditions for consensus problem are presented in terms of LMIs. Finally, In order to evaluate the validity and effectiveness of the proposed approach, a numerical example for consensus of nonlinear MAS with thirteen followers is solved and simulation results are provided. Obtained results demonstrate the solid validity and great effectiveness of the proposed approach.
EventCloud Computing Technology and Science. Conference (2019 : 11th : Sydney, New South Wales)
Pagination320 - 325
LocationSydney, New South Wales
Place of publicationPiscataway, N.S.W.
Publication classificationE1 Full written paper - refereed
Title of proceedingsCloudCom 2019 : Proceedings of the 11th IEEE International Conference on Cloud Computing Technology and Science
Nonlinear multi-agent systemsConsensusTakagi-Sugeno (T-S) fuzzy modelFuzzy Lyapunov function (FLF)Linear Matrix Inequality (LMI)H∞ consensusScience & TechnologyTechnologyComputer Science, Information SystemsComputer Science, Software EngineeringComputer Science, Theory & MethodsComputer ScienceH-infinity consensusSTABILITY ANALYSISSimulation and Modelling