Robust Fault Detection for Singular Stochastic Systems

Abstract:

-This paper deals with the problem of fault detection filter (FDF) design for singular stochastic systems . By using an observer-based FDF as a residual generator,the robust fault detection is formulated as a filtering problem. Based on linear matrix inequalities (LMIS) techniques and stability theory of stochastic differential equations, stochastic Lyapunov function method is adopted to design a FDF such that, the filter residual system is sensitive to the fault but robust to the exogenous disturbance.Sufficient conditions are proposed to guarantee the stochastically mean-square stablility with an performance for the faulty detection system. The existence of a FDF for the system under consideration is achieved in terms of LMIS . Moreover, the expressions of desired fault detection filter are given.

• Periodical: Applied Mechanics and Materials (Volumes 128-129)
• Pages: 276-279
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.128-129.276
• Online since: October 2011
• Authors: Ai Qing Zhang
• Keywords: Fault Detection Filter, LMIS, Singular Stochastic Systems

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