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Guaranteed‐performance consensus design for Lipschitz nonlinear multiagent systems with jointly connected topologies
Author(s) -
Zheng Tang,
Xi Jianxiang,
Yuan Mei,
Liu Guangbin
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4572
Subject(s) - lipschitz continuity , network topology , nonlinear system , control theory (sociology) , quadratic equation , computer science , multi agent system , mathematical optimization , state (computer science) , topology (electrical circuits) , control (management) , mathematics , algorithm , artificial intelligence , computer network , mathematical analysis , physics , geometry , quantum mechanics , combinatorics
Summary Guaranteed‐performance consensualization problems for both leaderless and leader‐following multiagent systems with jointly connected topologies and Lipschitz nonlinear dynamics are investigated. To achieve the guaranteed‐performance consensus, the control protocols and quadratic performance functions based on state errors are proposed. The state error method is utilized to deal with the guaranteed‐performance consensualization problems for both leaderless and leader‐following cases. Then, the Lipschitz nonlinear problems are solved by using the Lipschitz condition. Moreover, guaranteed‐performance consensualization criteria for both leaderless and leader‐following cases with jointly connected topologies are presented in terms of linear matrix inequalities. Meanwhile, the guaranteed‐performance costs with the structure properties of both leaderless and leader‐following structures are determined. Finally, two numerical simulations are presented to verify the effectiveness of the theoretical results.