Enhanced Conditions in Design of Linear Discrete-time Positive System Control

Abstract

The linear matrix inequalities approach is proposed to discrete-time linear positive system control design, reflecting enhanced and D-stability region approaches. Coupling together the set of linear matrix inequalities warranting the system positive structure and the structure guaranteing circle D-stability, the design conditions are outlined to raise the positive closed-loop system, considering a nonnegative control gain matrix. Some related properties are deduced to demonstrate diagonal stabilizability of the positive systems.