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H ∞ Consensus of Directed Lur'e Networks with Incremental Nonlinearities
Author(s) -
Han Weixin,
Wang Zhenhua,
Shen Yi
Publication year - 2020
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1921
Subject(s) - bounded function , protocol (science) , nonlinear system , control theory (sociology) , consensus , network topology , computer science , mathematics , topology (electrical circuits) , multi agent system , mathematical optimization , control (management) , artificial intelligence , computer network , physics , medicine , mathematical analysis , alternative medicine , pathology , quantum mechanics , combinatorics
Abstract This paper considers robust consensus problem for Lur'e networks with incrementally nonlinearity and unknown disturbance, under a given directed communication topology. Both incrementally sector bounded nonlinearities and incrementally passive nonlinearities are investigated. A distributed protocol is proposed to achieve global consensus. In the design of consensus protocol, H ∞ technique is used to attenuate the effect of disturbance. Moreover, the design conditions for robust H ∞ consensus are formulated into linear matrix inequalities. Finally, numerical simulations are used to demonstrate the effectiveness and superiority of the proposed method.