Fault Detection Filter for Uncertain Fuzzy Systems: An LMI Approach

Authors:	Nguang Sing Kiong, The University of Auckland, New Zealand Shi Peng, University of Glamorgan, United Kingdom Ding Steven, University of Duisburg-Essen, Germany
Topic:	6.4 Safeprocess
Session:	Robust Fault Detection and Isolation
Keywords:	Fuzzy system models, Lyapunov function, fault detection filter

Abstract

The paper addresses the problem of designing arobust fault detection filter for an uncertain Takagi-Sugeno fuzzymodels. The existence of a robust fault detection filter thatguarantees i) the L_2-gain from an exogenous input to aresidual signal is less than a prescribed value and ii) the L_2-gain from a fault signal to a residual signal is greaterthan a prescribed value is given in terms of the solvability oflinear matrix inequalities. A numerical example is used toillustrate the effectiveness of the proposed design techniques.