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Controlling the discrete‐time conic‐type nonlinear system by a time‐delayed robust H ∞ controller
Author(s) -
Dong Xuefei,
He Shuping
Publication year - 2019
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2547
Subject(s) - conic section , control theory (sociology) , nonlinear system , discrete time and continuous time , mathematics , lyapunov function , controller (irrigation) , type (biology) , linear matrix inequality , mathematical optimization , computer science , control (management) , ecology , statistics , physics , geometry , quantum mechanics , artificial intelligence , agronomy , biology
Summary This paper investigates the robust H ∞ controller design problem for a class of discrete‐time conic‐type nonlinear systems with time delays and uncertainties. We aim to design a time‐delayed feedback control law such that the closed‐loop conic‐type nonlinear system is asymptotically stable and satisfies the given H ∞ performance index from the controlled output to the external disturbance. By selecting a proper Lyapunov function, sufficient conditions related to the H ∞ stabilization are formulated in the form of linear matrix inequalities. Finally, a simulation example is employed to demonstrate the effectiveness of the proposed methods.