Reduced-order filters for neutral systems with distributed delays

Abstract

This paper addresses the problem of robust H_∞ reduced-order filtering for uncertain neutral systems with distributed delays. A linear matrix inequality H_∞ approach is proposed to design a robust H_∞ reduced-order filter such that the filtering system remains asymptotically stable and the bound of H_∞ norm is less than a given level γ. Moreover, an explicit parameterization of desired robust H_∞ reduced-order filter is presented. Two numerical examples are given to illustrate the theoretical results.

Keywords:

• Reduced-order filter
• Neutral system
• Distributed delay
• Linear matrix inequality