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Robust disturbance attenuation for discrete‐time active fault tolerant control systems with uncertainties
Author(s) -
Shi Peng,
Boukas El Kebir,
Nguang Sing Kiong,
Guo Xianping
Publication year - 2003
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.722
Subject(s) - control theory (sociology) , attenuation , robustness (evolution) , disturbance (geology) , discrete time and continuous time , bounded function , mathematics , norm (philosophy) , linear system , computer science , control (management) , physics , law , mathematical analysis , paleontology , biochemistry , chemistry , statistics , artificial intelligence , biology , political science , optics , gene
The problems of stochastic stability and stochastic disturbance attenuation for a class of linear discrete‐time systems are considered in this paper. The system under study is a state space model possessing two Markovian jump parameters: one is failure process and another is failure detection and isolation scheme. A controller is designed to guarantee the stochastic stability and a disturbance attenuation level. Robustness problems for the above system with norm‐bounded parameter uncertainties are also investigated. It is shown that the uncertain system can be robustly stochastically stabilized and have a robust disturbance attenuation level for all admissible perturbations if a set of coupled Riccati inequalities has solutions. A numerical example is given to show the potential of the proposed technique. Copyright © 2003 John Wiley & Sons, Ltd.