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H filtering for singular systems

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3 Author(s)
Shengyuan Xu ; Dept. of Mech. Eng., Univ. of Hong Kong, China ; Lam, J. ; Yun Zou

This note considers the H filtering problem for linear continuous singular systems. The purpose is the design of a linear filter such that the resulting error system is regular, impulse-free and stable while the closed-loop transfer function from the disturbance to the filtering error output satisfies a prescribed H-norm bound constraint. Without decomposing the original system matrices, a necessary and sufficient condition for the solvability of this problem is obtained in terms of a set of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired filter is given. Finally, an illustrative example is presented to demonstrate the applicability of the proposed approach.

Published in:

Automatic Control, IEEE Transactions on  (Volume:48 ,  Issue: 12 )

Date of Publication:

Dec. 2003

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