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The free‐weight matrix approach to event‐driven output H ∞ control of networked control systems
Author(s) -
Shen Binbin,
Guo Jing,
Sun Liankun
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.2136
Subject(s) - control theory (sociology) , linear matrix inequality , controller (irrigation) , mathematics , matrix (chemical analysis) , scaling , lyapunov function , weight function , function (biology) , control (management) , mathematical optimization , computer science , mathematical analysis , nonlinear system , materials science , geometry , physics , quantum mechanics , artificial intelligence , evolutionary biology , agronomy , composite material , biology
Abstract This paper puts forward a new free‐weight matrix method used to analyse Network control systems (NCSs) with the H ∞ performance index level based on event‐driven control. Firstly, design a relative triggering mechanism contain the measured output for a linear system with external disturbances. Secondly, in order to reduce the conservativeness an appropriate Lyapunov‐Krasovskii function is constructed. For the integral term generated after the above functional derivation, the free‐weight matrix inequality is selected for scaling. Finally,the sufficient condition that the closed‐loop system represented by the linear matrix inequality (LMI) satisfies the H ∞ performance index and the solution of the controller are obtained.The validity of the scheme is confirmed by a given numerical case.