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Asynchronous fault detection observer design for discrete‐time piecewise linear systems
Author(s) -
Wang XiaoLei,
Yang GuangHong
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.4835
Subject(s) - asynchronous communication , observer (physics) , control theory (sociology) , fault detection and isolation , piecewise , piecewise linear function , computer science , state observer , state (computer science) , lyapunov function , stability (learning theory) , fault (geology) , state space , mathematics , algorithm , nonlinear system , control (management) , artificial intelligence , mathematical analysis , statistics , physics , geometry , quantum mechanics , machine learning , seismology , actuator , geology , computer network
Summary This paper studies the problem of asynchronous fault detection (FD) observer design for piecewise linear systems. Considering that the states of the FD observer and the system may stay at different regions of the state space, asynchronous FD observers are designed at different instants to cope with the challenges incurred by exogenous disturbances and fault signals. By employing new piecewise Lyapunov functions that depend on the different regions where the states are located, it is proved that the proposed asynchronous FD observers ensure the stability and H ∞ performance of the error systems. Three examples are given to show that the new design scheme provides better FD results than the existing design methods.