Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-04-01

Journal: SIGNAL PROCESSING

Included Journals: SCIE、Scopus、EI

Volume: 91

Issue: 4

Page Number: 713-727

ISSN: 0165-1684

Key Words: H(infinity) filtering; Reliable filtering; Sensor failure; Time-delay; Randomly occurred nonlinearities; Delay partitioning

Abstract: In this paper, the reliable H(infinity) filtering problem is investigated for a class of uncertain discrete time-delay systems with randomly occurred nonlinearities (RONs) and sensor failures. RONs are introduced to model a class of sector-like nonlinearities that occur in a probabilistic way according to a Bernoulli distributed white sequence with a known conditional probability. The failures of sensors are quantified by a variable varying in a given interval. The time-varying delay is unknown with given lower and upper bounds. The aim of the addressed reliable H(infinity) filtering problem is to design a filter such that, for all possible sensor failures, RONs, time-delays as well as admissible parameter uncertainties, the filtering error dynamics is asymptotically mean-square stable and also achieves a prescribed H(infinity) performance level. Sufficient conditions for the existence of such a filter are obtained by using a new Lyapunov-Krasovskii functional and delay-partitioning technique. The filter gains are characterized in terms of the solution to a set of linear matrix inequalities (LMIs). A numerical example is given to demonstrate the effectiveness of the proposed design approach. (C) 2010 Elsevier B.V. All rights reserved.