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

Keywords

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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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