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Robust H ∞ control for a class of quasi‐linear uncertain stochastic time‐varying delayed systems
Author(s) -
Zhang Tianliang,
Sun Pengxiang,
Deng Feiqi,
Zhang Weihai
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.2094
Subject(s) - control theory (sociology) , linear matrix inequality , robust control , class (philosophy) , mathematics , controller (irrigation) , state (computer science) , linear system , stability (learning theory) , robustness (evolution) , full state feedback , control (management) , mathematical optimization , computer science , control system , engineering , algorithm , artificial intelligence , electrical engineering , agronomy , mathematical analysis , biochemistry , chemistry , machine learning , gene , biology
This paper studies the H ∞ control for a class of quasi‐linear uncertain stochastic time‐varying delayed systems. Firstly, by using the linear matrix inequality (LMI) method, a sufficient condition is obtained for the robustly stochastic stability. Secondly, the robust H ∞ state feedback controller is designed, such that the considered system is not only internally stochastically stabilizable but also satisfies the robust H ∞ performance. The desired robust H ∞ controller is obtained via solving some LMIs. Finally, one example is provided to demonstrate the effectiveness of the proposed method.