New results on the feedback control of Duffing's equation

Research output: Contribution to journalConference articlepeer-review

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)
Pages (from-to)704-709
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume1
StatePublished - 2001
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: Dec 4 2001Dec 4 2001

Keywords

  • Advanced feedback control
  • Duffing equation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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