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

Jason J.R. Liu, James Lam, Xiaomei Wang and Ka-Wai Kwok

Applied Mathematics and Computation, 2023, vol. 452, issue C

Abstract: This paper addresses the issue of proportional-derivative (PD) controllers design for positive 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 preserves 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 validated by numerical examples.

Keywords: Discrete-time linear system; Non-fragile control; Positive time-delay system; PD control (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:452:y:2023:i:c:s0096300323001856

DOI: 10.1016/j.amc.2023.128016

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