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Title: Reliable H∞ filtering for discrete time-delay systems with randomly occurred nonlinearities via delay-partitioning method
Authors: Liu, Y
Wang, Z
Wang, W
Keywords: H∞ filtering;Reliable filtering;Sensor failure;Time-delay;Randomly occurred nonlinearities;Delay partitioning
Issue Date: 2011
Publisher: Elsevier
Citation: Signal Processing 91(4): 713-727, Apr 2011
Abstract: In this paper, the reliable H∞ 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∞ 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∞ 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.
Description: The official published version can be found at the link below.
ISSN: 0165-1684
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

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