Robust H/sub /spl infin// filtering for Uncertain2-D continuous systems

This paper considers the problem of robust H/sub /spl infin// filtering for uncertain two-dimensional (2-D) continuous systems described by the Roesser state-space model. The parameter uncertainties are assumed to be norm-bounded in both the state and measurement equations. The purpose is the design...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2005-05, Vol.53 (5), p.1731-1738
Main Authors: Shengyuan Xu, Lam, J., Zou, Y., Zhiping Lin, Paszke, W.
Format: Article
Language:English
Subjects:
2-D continuous systems
Continuous time systems
Equations
Filtering
Filters
linear matrix inequality
Noise level
Robustness
Signal design
Transfer functions
Two dimensional displays
Uncertain systems
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Summary:This paper considers the problem of robust H/sub /spl infin// filtering for uncertain two-dimensional (2-D) continuous systems described by the Roesser state-space model. The parameter uncertainties are assumed to be norm-bounded in both the state and measurement equations. The purpose is the design of a 2-D continuous filter such that for all admissible uncertainties, the error system is asymptotically stable, and the H/sub /spl infin// norm of the transfer function, from the noise signal to the estimation error, is below a prespecified level. A sufficient condition for the existence of such filters is obtained in terms of a set of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired H/sub /spl infin// filter is given. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed method.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2005.845464