Robust disturbance attenuation for discrete-time active fault tolerant control systems with uncertainties

Robust disturbance attenuation for discrete-time active fault tolerant control systems with uncertainties

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Article ID: iaor20062847
Country: United Kingdom
Volume: 24
Issue: 2
Start Page Number: 85
End Page Number: 101
Publication Date: Mar 2003
Journal: Optimal Control Applications & Methods
Authors: , , ,
Abstract:

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.

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