6533b7d4fe1ef96bd1261f5c

RESEARCH PRODUCT

A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations

Hamid Reza KarimiNingsu LuoMauricio Zapateiro

subject

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Automatic controlComputer Networks and CommunicationsApplied MathematicsVDP::Technology: 500::Mechanical engineering: 570Linear systemLinear matrix inequalityRobust controlControl de robustesaNonlinear controlFault detection and isolationControl automàticFilter designDiscrete time and continuous timeControl and Systems EngineeringControl theorySignal ProcessingSistemes Teoria deRobust controlSystem theoryLinear filterMathematics

description

Accepted version of an article in the journal: Journal of the Franklin Institute-Engineering and Applied Mathematics. The definitive version can be found on Sciverse: http://dx.doi.org/10.1016/j.jfranklin.2010.03.004 In this paper, the problem of robust fault detection filter (RFDF) design for a class of linear systems with some nonlinear perturbations and mixed neutral and discrete time-varying delays is investigated. By using a descriptor technique, Lyapunov-Krasovskii functional and a suitable change of variables, new required sufficient conditions are established in terms of delay-dependent linear matrix inequalities (LMIs) to synthesize the residual generation scheme. Based on the Luenberger type observers, the explicit expression of the filters is derived for the fault such that both asymptotic stability and a prescribed level of disturbance attenuation are satisfied for all admissible nonlinear perturbations. A numerical example is provided to demonstrate the effectiveness and the applicability of the proposed method. (C) 2008 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

yearjournalcountryeditionlanguage
2010-01-01
https://hdl.handle.net/2072/373092