\(H_{\infty}\) filtering for networked systems with bounded measurement missing
Summary: This paper is concerned with the \(H_{\infty}\) filtering problem for networked systems with bounded measurement missing. A switched linear system model is proposed to describe the considered filtering error system. A sufficient condition is derived for the filtering error system to be exponentially stable and achieve a prescribed \(H_{\infty}\) filtering performance level. The obtained condition establishes quantitative relations among the \(H_{\infty}\) performance level and two parameters characterizing the measurement missing, namely, the measurement missing rate bound and the maximal number of consecutive measurement missing. A convex optimization problem is presented to design the linear \(H_{\infty}\) filters. Finally, an illustrative example is given to show the effectiveness of the proposed results.
scientific article; zbMATH DE number 7016294
scientific article