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Sensor fault diagnosis and fault‐tolerant control for stochastic distribution time‐delayed control systems
Author(s) -
Wang Hao,
Yao Lina
Publication year - 2019
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.3037
Subject(s) - control theory (sociology) , observer (physics) , laplace transform , linear matrix inequality , controller (irrigation) , transformation (genetics) , probability density function , fault (geology) , actuator , control system , computer science , mathematics , engineering , mathematical optimization , control (management) , statistics , mathematical analysis , biochemistry , artificial intelligence , seismology , gene , agronomy , biology , geology , chemistry , physics , electrical engineering , quantum mechanics
Summary In this paper, a new fault diagnosis and fault‐tolerant control method based on the model equivalent transformation is proposed for the stochastic distribution time‐delayed control system, in which the random delay between the controller and the actuator and the external disturbance is considered. The system is modeled by using a linear B‐spline to approximate the probability density function (PDF) of system output. The original system is transformed into an equivalent system without random delay based on the Laplace transformation method. Then, the equivalent system that is converted to the augmentation system with a new state variable is introduced. The observer is designed to estimate the fault information based on the augmentation system. Observer gain matrices and controller parameters are obtained by solving the linear matrix inequality. The PI control algorithm is used to make the PDF of the system output track the desired distribution. Finally, the validity of the proposed method is verified by computer simulation results.