Non-fragile PD control of linear time-delay positive discrete-time systems

Abstract

<p>This paper addresses the issue of proportional-derivative (PD) controllers design for posi-tive linear systems in the discrete-time domain, which still remains a challenging problem in positive systems theory. The specific aim is to design a PD controller for a system with constant time delay, which simultaneously ensures closed-loop system stability and pre-serves positivity. Moreover, additive gain variation of the controller is considered in the synthesis process. Systematic formulation and tractable algorithms are developed to find the PD controller gains for positive stabilization. The performance of such methods is val-idated by numerical examples.</p>