Robust mixed ℋ/sub 2//ℋ/sub ∞/ filtering of 2-D systems

Abstract

This paper deals with several challenging problems of robust filtering for two-dimensional (2-D) systems. First of all, new linear matrix inequality (LMI) characterizations for the /spl Hscr//sub /spl infin// and /spl Hscr/2 norms of 2-D systems are introduced and thoroughly established. Based on these preparatory results, convex (LMI) characterizations for robust /spl Hscr//sub /spl infin//, /spl Hscr//sub 2/, and robust mixed /spl Hscr//sub 2///spl Hscr//sub /spl infin// filtering are derived. The efficiency and viability of the proposed techniques and tools are demonstrated through a set of numerical examples.