Advanced feedback control of the chaotic Duffing equation

Research output: Contribution to journalArticle

Abstract

This brief deals with the celebrated chaotic Duffing equation with external control force. It is shown that Lyapunov direct method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling chaos. For the forced Duffing equation, it is shown that linear feedback control laws are inherently robust to (even large) sensor errors.

Original languageEnglish (US)
Pages (from-to)244-249
Number of pages6
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume49
Issue number2
DOIs
StatePublished - Feb 2002

Fingerprint

Feedback control
Feedback
Force control
Chaos theory
Controllers
Sensors

Keywords

  • Adaptive nonlinear control
  • Duffing equation
  • Exponential convergence
  • Global stability
  • Linear feedback

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

@article{c024a9fe385f42358ffee5aadff2946c,
title = "Advanced feedback control of the chaotic Duffing equation",
abstract = "This brief deals with the celebrated chaotic Duffing equation with external control force. It is shown that Lyapunov direct method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling chaos. For the forced Duffing equation, it is shown that linear feedback control laws are inherently robust to (even large) sensor errors.",
keywords = "Adaptive nonlinear control, Duffing equation, Exponential convergence, Global stability, Linear feedback",
author = "Zhong-Ping Jiang",
year = "2002",
month = "2",
doi = "10.1109/81.983872",
language = "English (US)",
volume = "49",
pages = "244--249",
journal = "IEEE Transactions on Circuits and Systems I: Regular Papers",
issn = "1057-7122",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "2",

}

TY - JOUR

T1 - Advanced feedback control of the chaotic Duffing equation

AU - Jiang, Zhong-Ping

PY - 2002/2

Y1 - 2002/2

N2 - This brief deals with the celebrated chaotic Duffing equation with external control force. It is shown that Lyapunov direct method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling chaos. For the forced Duffing equation, it is shown that linear feedback control laws are inherently robust to (even large) sensor errors.

AB - This brief deals with the celebrated chaotic Duffing equation with external control force. It is shown that Lyapunov direct method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling chaos. For the forced Duffing equation, it is shown that linear feedback control laws are inherently robust to (even large) sensor errors.

KW - Adaptive nonlinear control

KW - Duffing equation

KW - Exponential convergence

KW - Global stability

KW - Linear feedback

UR - http://www.scopus.com/inward/record.url?scp=0036475909&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036475909&partnerID=8YFLogxK

U2 - 10.1109/81.983872

DO - 10.1109/81.983872

M3 - Article

VL - 49

SP - 244

EP - 249

JO - IEEE Transactions on Circuits and Systems I: Regular Papers

JF - IEEE Transactions on Circuits and Systems I: Regular Papers

SN - 1057-7122

IS - 2

ER -