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Robust fault estimation for Takagi‐Sugeno fuzzy systems with state time‐varying delay
Author(s) -
You Fuqiang,
Cheng Shiya,
Zhang Xinyan,
Chen Nan
Publication year - 2020
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.3073
Subject(s) - control theory (sociology) , actuator , observer (physics) , fuzzy logic , linear matrix inequality , bounded function , fault (geology) , computer science , attenuation , state (computer science) , mathematics , mathematical optimization , control (management) , algorithm , artificial intelligence , seismology , geology , mathematical analysis , physics , quantum mechanics , optics
Summary This paper deals with the problem of H ∞ robust fault estimation for a class of Takagi‐Sugeno (T‐S) fuzzy systems with state time‐varying delay, sensor, and actuator faults. The faults considered in this paper are time‐varying signals whose k ‐order derivatives with respect to time are bounded. Then, we propose a proportional multiple integral observer to achieve simultaneous estimation of system states and time‐varying actuator and sensor faults. Furthermore, one less conservative delay‐dependent sufficient condition for the existence of fault estimation observer is given in terms of linear matrix inequality. The disturbance attenuation is constrained to a given level using H ∞ performance index. Finally, simulation results of one numerical example is presented to show the effectiveness of the proposed method.