Robust filtering for discrete-time systems with saturation and its application to transmultiplexers

Authors:
Yufei Xiao;Yong-Yan Cao;Zongli Lin
Affiliations:
Dept. of Electr. & Comput. Eng., Univ. of Virginia, Charlottesville, VA, USA;-;-
Venue:
IEEE Transactions on Signal Processing
Year:
2004

Citing 0
Cited 4

Brief paper: Set-membership filtering for systems with sensor saturation

Automatica (Journal of IFAC)
Joint use of DFT filter banks and modulated transmultiplexers for multicarrier communications

Signal Processing
Brief paper: H∞ filtering with randomly occurring sensor saturations and missing measurements

Automatica (Journal of IFAC)
Robust H∞ filter design for time-delay systems with saturation

International Journal of Automation and Computing

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Abstract

This paper considers the problem of robust filtering for discrete-time linear systems subject to saturation. A generalized dynamic filter architecture is proposed, and a filter design method is developed. Our approach incorporates the conventional linear H2 and H∞ filtering as well as a regional l2 gain filtering feature developed specially for the saturation nonlinearity and is applicable to the digital transmultiplexer systems for the purpose of separating filterbank design. It turns out that our filter design can be carried out by solving a constrained optimization problem with linear matrix inequality (LMI) constraints. Simulations show that the resultant separating filters possess satisfactory reconstruction performance while working in the linear range and less degraded reconstruction performance in the presence of saturation.