Robust  H  2  filtering of linear systems with time delays | Zendy

Fridman E. | Zendy; Shaked U. | Zendy; Xie L. | Zendy

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Robust H 2 filtering of linear systems with time delays

Author(s) -

Fridman E.,

Shaked U.,

Xie L.

Publication year - 2003

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.749

Subject(s) - trace (psycholinguistics) , linear system , matrix (chemical analysis) , mathematics , control theory (sociology) , covariance matrix , covariance , computer science , eigenvalues and eigenvectors , mathematical optimization , algorithm , statistics , control (management) , artificial intelligence , mathematical analysis , physics , quantum mechanics , philosophy , linguistics , materials science , composite material

The problem of robust H 2 estimation of a combination of states of a stationary linear system with time delays is considered. Since the problem is infinite dimensional in nature, an attempt is being made to develop finite dimensional methods that will guarantee a preassigned estimation accuracy. The approach of minimizing the trace of a matrix that overbounds the exact covariance of the estimation error is considered. Sufficient conditions are given in the form of linear matrix inequalities (LMIs). The results are illustrated by a numerical example. Copyright © 2003 John Wiley & Sons, Ltd.

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