Proportional-Derivative Control of Discrete-Time Positive Systems: A State-Space Approach

Jason J.R. Liu; Nachuan Yang; Ka Wai Kwok; James Lam

doi:10.1109/TCSII.2023.3280596

Proportional-Derivative Control of Discrete-Time Positive Systems: A State-Space Approach

Jason J.R. Liu, Nachuan Yang, Ka Wai Kwok^*, James Lam^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

2 Citations (Scopus)

Abstract

The proportional-derivative (PD) control is investigated for discrete-time positive linear systems in this brief, which is a fundamental research problem in positive systems theory. Based on positive systems theory and Lyapunov theory, this brief proposes a systematic approach on the PD controller design for positive stabilization. The analyses and methods presented in this brief preserve both the necessity and sufficiency of the control problem, and the convergence of the algorithm is also analyzed. Finally, a numerical example on pest population control is employed in the simulation to verify the results.

Original language	English
Pages (from-to)	4491-4495
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	71
Issue number	10
DOIs	https://doi.org/10.1109/TCSII.2023.3280596
Publication status	Published - 2024
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2004-2012 IEEE.

Keywords

Discrete-time systems
PD control
positive system

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10.1109/TCSII.2023.3280596

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title = "Proportional-Derivative Control of Discrete-Time Positive Systems: A State-Space Approach",

abstract = "The proportional-derivative (PD) control is investigated for discrete-time positive linear systems in this brief, which is a fundamental research problem in positive systems theory. Based on positive systems theory and Lyapunov theory, this brief proposes a systematic approach on the PD controller design for positive stabilization. The analyses and methods presented in this brief preserve both the necessity and sufficiency of the control problem, and the convergence of the algorithm is also analyzed. Finally, a numerical example on pest population control is employed in the simulation to verify the results.",

keywords = "Discrete-time systems, PD control, positive system",

author = "Liu, \{Jason J.R.\} and Nachuan Yang and Kwok, \{Ka Wai\} and James Lam",

note = "Publisher Copyright: {\textcopyright} 2004-2012 IEEE.",

year = "2024",

doi = "10.1109/TCSII.2023.3280596",

language = "English",

volume = "71",

pages = "4491--4495",

journal = "IEEE Transactions on Circuits and Systems II: Express Briefs",

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T1 - Proportional-Derivative Control of Discrete-Time Positive Systems

T2 - A State-Space Approach

AU - Liu, Jason J.R.

AU - Yang, Nachuan

AU - Kwok, Ka Wai

AU - Lam, James

PY - 2024

Y1 - 2024

N2 - The proportional-derivative (PD) control is investigated for discrete-time positive linear systems in this brief, which is a fundamental research problem in positive systems theory. Based on positive systems theory and Lyapunov theory, this brief proposes a systematic approach on the PD controller design for positive stabilization. The analyses and methods presented in this brief preserve both the necessity and sufficiency of the control problem, and the convergence of the algorithm is also analyzed. Finally, a numerical example on pest population control is employed in the simulation to verify the results.

AB - The proportional-derivative (PD) control is investigated for discrete-time positive linear systems in this brief, which is a fundamental research problem in positive systems theory. Based on positive systems theory and Lyapunov theory, this brief proposes a systematic approach on the PD controller design for positive stabilization. The analyses and methods presented in this brief preserve both the necessity and sufficiency of the control problem, and the convergence of the algorithm is also analyzed. Finally, a numerical example on pest population control is employed in the simulation to verify the results.

KW - Discrete-time systems

KW - PD control

KW - positive system

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:001322634100011

UR - https://openalex.org/W4378696998

UR - https://www.scopus.com/pages/publications/85161079941

U2 - 10.1109/TCSII.2023.3280596

DO - 10.1109/TCSII.2023.3280596

M3 - Journal Article

SN - 1549-7747

VL - 71

SP - 4491

EP - 4495

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 10

ER -

Proportional-Derivative Control of Discrete-Time Positive Systems: A State-Space Approach

Abstract

Bibliographical note

Keywords

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