New results on the feedback control of Duffing's equation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper deals with the celebrated chaotic Duffing equation with external control force. It is shown that Lyapunov's 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)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages704-709
Number of pages6
Volume1
StatePublished - 2001
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: Dec 4 2001Dec 4 2001

Other

Other40th IEEE Conference on Decision and Control (CDC)
CountryUnited States
CityOrlando, FL
Period12/4/0112/4/01

Fingerprint

Feedback control
Feedback
Force control
Chaos theory
Controllers
Sensors

Keywords

  • Advanced feedback control
  • Duffing equation

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Jiang, Z-P. (2001). New results on the feedback control of Duffing's equation. In Proceedings of the IEEE Conference on Decision and Control (Vol. 1, pp. 704-709)

New results on the feedback control of Duffing's equation. / Jiang, Zhong-Ping.

Proceedings of the IEEE Conference on Decision and Control. Vol. 1 2001. p. 704-709.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Jiang, Z-P 2001, New results on the feedback control of Duffing's equation. in Proceedings of the IEEE Conference on Decision and Control. vol. 1, pp. 704-709, 40th IEEE Conference on Decision and Control (CDC), Orlando, FL, United States, 12/4/01.
Jiang Z-P. New results on the feedback control of Duffing's equation. In Proceedings of the IEEE Conference on Decision and Control. Vol. 1. 2001. p. 704-709
Jiang, Zhong-Ping. / New results on the feedback control of Duffing's equation. Proceedings of the IEEE Conference on Decision and Control. Vol. 1 2001. pp. 704-709
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