Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jfranklin.2012.04.006
Title: Exponential H ∞ filtering for discrete-time switched singular systems with time-varying delays
Authors: Zhang, D.
Yu, L.
Wang, Q.-G. 
Ong, C.-J. 
Wu, Z.-G.
Issue Date: Sep-2012
Source: Zhang, D., Yu, L., Wang, Q.-G., Ong, C.-J., Wu, Z.-G. (2012-09). Exponential H ∞ filtering for discrete-time switched singular systems with time-varying delays. Journal of the Franklin Institute 349 (7) : 2323-2342. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jfranklin.2012.04.006
Abstract: This paper is concerned with the exponential H ∞ filtering problem for discrete-time switched singular systems with time-varying delays. The main purpose is to design a linear mode-dependent filter such that the resulting filtering error system is regular, causal, and exponentially stable with a prescribed H ∞ performance bound. In addition, the decay rate of the filtering error dynamics can also be tuned. By constructing an appropriate Lyapunov functional and using the average dwell time scheme, a novel delay-dependent sufficient condition for the solvability of the H ∞ filtering problem is derived. Based on this condition, the desired filter gains can be determined by solving a set of linear matrix inequalities (LMIs). A numerical example is given to show the effectiveness of the proposed design method. © 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
Source Title: Journal of the Franklin Institute
URI: http://scholarbank.nus.edu.sg/handle/10635/82325
ISSN: 00160032
DOI: 10.1016/j.jfranklin.2012.04.006
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