Optimal PID control design for synchronization of delayed discrete chaotic systems

Meei Ling Hung; Jui Sheng Lin; Jun Juh Yan; Teh Lu Liao

doi:10.1016/j.chaos.2006.05.048

Optimal PID control design for synchronization of delayed discrete chaotic systems

Meei Ling Hung, Jui Sheng Lin, Jun Juh Yan, Teh Lu Liao

Department of Engineering Science

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

35 Citations (Scopus)

Abstract

This paper is concerned with the design of a proportional-integral-derivative (PID) controller for synchronization of delayed discrete chaotic models. The evolutionary programming algorithm (EPA) has been considered as a useful technique for finding global optimization solutions for certain complicated functions in recent years. Therefore, in this paper, we attempt to use the EP algorithm in PID control design for deriving optimal or near optimal PID control gains such that a performance index between the master and slave chaotic systems is minimized. A numerical result exemplifies the synchronization procedure.

Original language	English
Pages (from-to)	781-785
Number of pages	5
Journal	Chaos, solitons and fractals
Volume	35
Issue number	4
DOIs	https://doi.org/10.1016/j.chaos.2006.05.048
Publication status	Published - 2008 Feb

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Mathematics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

Access to Document

10.1016/j.chaos.2006.05.048

Cite this

@article{6bc46e39a1f7405b9eed90fe33a44ee4,

title = "Optimal PID control design for synchronization of delayed discrete chaotic systems",

abstract = "This paper is concerned with the design of a proportional-integral-derivative (PID) controller for synchronization of delayed discrete chaotic models. The evolutionary programming algorithm (EPA) has been considered as a useful technique for finding global optimization solutions for certain complicated functions in recent years. Therefore, in this paper, we attempt to use the EP algorithm in PID control design for deriving optimal or near optimal PID control gains such that a performance index between the master and slave chaotic systems is minimized. A numerical result exemplifies the synchronization procedure.",

author = "Hung, {Meei Ling} and Lin, {Jui Sheng} and Yan, {Jun Juh} and Liao, {Teh Lu}",

year = "2008",

month = feb,

doi = "10.1016/j.chaos.2006.05.048",

language = "English",

volume = "35",

pages = "781--785",

journal = "Chaos, solitons and fractals",

issn = "0960-0779",

publisher = "Elsevier Limited",

number = "4",

}

TY - JOUR

T1 - Optimal PID control design for synchronization of delayed discrete chaotic systems

AU - Hung, Meei Ling

AU - Lin, Jui Sheng

AU - Yan, Jun Juh

AU - Liao, Teh Lu

PY - 2008/2

Y1 - 2008/2

N2 - This paper is concerned with the design of a proportional-integral-derivative (PID) controller for synchronization of delayed discrete chaotic models. The evolutionary programming algorithm (EPA) has been considered as a useful technique for finding global optimization solutions for certain complicated functions in recent years. Therefore, in this paper, we attempt to use the EP algorithm in PID control design for deriving optimal or near optimal PID control gains such that a performance index between the master and slave chaotic systems is minimized. A numerical result exemplifies the synchronization procedure.

AB - This paper is concerned with the design of a proportional-integral-derivative (PID) controller for synchronization of delayed discrete chaotic models. The evolutionary programming algorithm (EPA) has been considered as a useful technique for finding global optimization solutions for certain complicated functions in recent years. Therefore, in this paper, we attempt to use the EP algorithm in PID control design for deriving optimal or near optimal PID control gains such that a performance index between the master and slave chaotic systems is minimized. A numerical result exemplifies the synchronization procedure.

UR - http://www.scopus.com/inward/record.url?scp=34748918869&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34748918869&partnerID=8YFLogxK

U2 - 10.1016/j.chaos.2006.05.048

DO - 10.1016/j.chaos.2006.05.048

M3 - Article

AN - SCOPUS:34748918869

SN - 0960-0779

VL - 35

SP - 781

EP - 785

JO - Chaos, solitons and fractals

JF - Chaos, solitons and fractals

IS - 4

ER -

Optimal PID control design for synchronization of delayed discrete chaotic systems

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this