Dynamic Output-Feedback Controller Design for Interval Positive Linear Systems

Abstract

This paper addresses the dynamic output-feedback control design for positive linear systems with interval uncertainties. Both continuous- and discrete-time cases are investigated. For this purpose, sufficient linear matrix inequality (LMI) conditions are developed to assure the existence of full order dynamic output-feedback controllers. As main property, in order to simplify the treatment, both Lyapunov matrix and control realization are described in an affine manner at the LMI conditions. An optimization algorithm with initial feasible conditions is given to design the controller. The results are illustrated by means of numerical examples and comparisons with previous approaches from the literature.