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Indexed by:期刊论文

Date of Publication:2016-09-10

Journal:INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL

Included Journals:SCIE、EI、Scopus

Volume:26

Issue:13

Page Number:2807-2823

ISSN No.:1049-8923

Key Words:switched positive system; packet dropouts; fault detection; Leslie matrix model

Abstract:In this paper, the problem of fault detection filter design is dealt with for a class of switched positive systems with packet dropouts on the channel between the sensors and the filters. The phenomena of packet dropouts are governed by a Bernoulli process, and a stochastic switched positive system is established based on the augmented states of the plants and filters. Two criteria are developed to evaluate the performance of the fault detection for the system under investigation. Sufficient conditions are established on the existence of the desired filters for the mean-square stability with an L-1 disturbance attenuation level, and an index for the L- fault sensitivity is also derived through constructing a switched Lyapunov function in term of linear programming. Two illustrative examples, one of which is concerned with the Leslie matrix model, are provided to show the effectiveness and applicability of the proposed results. Copyright (c) 2015 John Wiley & Sons, Ltd.