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Event‐triggered finite‐time reliable control for nonhomogeneous Markovian jump systems
Author(s) -
Gao Xiaobin,
Deng Feiqi,
Li XiaoMeng,
Zhou Qi
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.4858
Subject(s) - control theory (sociology) , observer (physics) , controller (irrigation) , state observer , actuator , computer science , jump , markov process , linear matrix inequality , mathematics , control (management) , mathematical optimization , nonlinear system , statistics , physics , quantum mechanics , artificial intelligence , agronomy , biology
Summary This article investigates the event‐triggered finite‐time reliable control problem for a class of Markovian jump systems with time‐varying transition probabilities, time‐varying actuator faults, and time‐varying delays. First, a Luenberger observer is constructed to estimate the unmeasured system state. Second, by applying an event‐triggered strategy from observer to controller, the frequency of transmission is reduced. Third, based on linear matrix inequality technique and stochastic finite‐time analysis, event‐triggered observer‐based controllers are designed and sufficient conditions are given, which ensure the finite‐time boundedness of the closed‐loop system in an H ∞ sense. Finally, an example is utilized to show the effectiveness of the proposed controller design approach.