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Delay‐dependent adaptive reliable H ∞ control of linear time‐varying delay systems
Author(s) -
Ye Dan,
Yang GuangHong
Publication year - 2008
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.1331
Subject(s) - control theory (sociology) , controller (irrigation) , linear matrix inequality , computer science , actuator , adaptive control , fault (geology) , stability (learning theory) , linear system , control (management) , mathematics , mathematical optimization , mathematical analysis , artificial intelligence , machine learning , seismology , agronomy , biology , geology
Abstract This paper considers the problem of delay‐dependent adaptive reliable H ∞ controller design against actuator faults for linear time‐varying delay systems. Based on the online estimation of eventual faults, the parameters of adaptive reliable H ∞ controller are updating automatically to compensate the fault effects on the system. A new delay‐dependent reliable H ∞ controller is established using a linear matrix inequality technique and an adaptive method, which guarantees the stability and adaptive H ∞ performance of closed‐loop systems in normal and faulty cases. A numerical example and its simulation results illustrate the effectiveness of the proposed method. Copyright © 2008 John Wiley & Sons, Ltd.