OPTIMAL ATTENUATION CONTROL OF 2-D POSITIVE ROESSER SYSTEMS WITH BOUNDED DISTURBANCES

DOI: 10.18173/2354-1059.2025-0051

Tóm tắt

In this paper, performance analysis and controller design problems subject to an optimal attenuation level are studied for 2-D positive systems with bounded input disturbances. First, some novel comparison techniques for state estimations subject to peak values of external disturbances are presented to derive a characterization for l∞-induced norm of the input-output operator. Then, we derive the necessary and sufficient linear programming (LP) conditions for obtaining a controller gain of an l∞-induced performance with a prescribed attenuation level. Numerical examples are given to illustrate the effectiveness of the proposed method.