PD control of positive interval continuous-time systems with time-varying delay

被引:14
|
作者
Liu, Jason J. R. [1 ]
Zhang, Maoqi [2 ]
Lam, James [1 ]
Du, Baozhu [3 ]
Kwok, Ka-Wai [1 ]
机构
[1] Univ Hong Kong, Dept Mech Engn, Pokfulam, Hong Kong, Peoples R China
[2] Univ Hong Kong, Dept Math, Pokfulam, Hong Kong, Peoples R China
[3] Nanjing Univ Sci & Technol, Sch Automat, Nanjing, Peoples R China
关键词
Interval system; PD control; Positive system; Robust stabilization; Time-varying delay;
D O I
10.1016/j.ins.2021.08.034
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article aims to design proportional-derivative (PD) controllers for interval positive linear systems in the continuous-time domain, which still remains a widely-discussed open problem in positive systems theory. The specific objective is to design a PD controller for the system with interval uncertain parameters and time-varying delay, which simultaneously ensures closed-loop system stability and preserves positivity. The work proposes a systematic framework, with the aim of finding PD controller gains for positive robust stabilization. The methodology and algorithm are presented first in the study, and the performance of such methods is instantiated by numerical examples. (c) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码:371 / 382
页数:12
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