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H − / L ∞ fault detection observer for linear parameter‐varying systems with parametric uncertainty
Author(s) -
Han Weixin,
Wang Zhenhua,
Shen Yi
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.4530
Subject(s) - fault detection and isolation , residual , control theory (sociology) , parametric statistics , observer (physics) , linear matrix inequality , actuator , computation , linear system , fault (geology) , mathematics , computer science , algorithm , mathematical optimization , statistics , control (management) , physics , artificial intelligence , mathematical analysis , seismology , geology , quantum mechanics
Summary This paper considers H − / L ∞ fault detection for discrete‐time linear parameter‐varying (LPV) systems with parametric uncertainty. In H − / L ∞ fault detection scheme, residual generation and threshold computation are simultaneously designed. With consideration of H − / L ∞ performance indices, the generated residual is sensitive to faults while robust against unknown disturbances. Furthermore, the L ∞ performance provides a time‐varying threshold for residual evaluation. This paper proposes a novel H − / L ∞ fault detection observer design method to handle actuator fault detection for LPV systems with parametric uncertainty. Sufficient conditions of the fault detection observer design in the finite‐frequency domain are derived as linear matrix inequalities. Numerical simulations are used to illustrate the effectiveness and superiority of the proposed fault detection observer design approach.