Reduced-order H<inf>&#x221E;</inf> filtering for singular systems with network delays

Abstract

This paper deals with the problem of reducedorder H ∞ filtering for singular systems with network delays. Such delays include both signal transmission delay and data packet dropout. A sufficient condition of the delay dependent H ∞ performance is obtained in terms of matrix inequalities (MIS) to ensure the filtering error singular system is regular, impulsefree, stable and satisfies a prescribed H ∞ performance level. By using the projection theorem, these MIS are transformed into linear matrix inequalities (LMIS) and a linear filter that has specified order lower than the given system is designed. A special case called static or zeroth-order H ∞ filter is appeared when the order of the filter reduced to zero. Finally, a numerical example is introduced to illustrate the effectiveness of the proposed approach.Index Terms-Reduced-order H ∞ filter, singular system, network delay, linear matrix inequality(LMI).