Application of the differential geometric method to control a noisy chaotic system via dither smoothing

Yu Min Liaw, Pi Cheng Tung

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

The differential geometric method essentially requires a smooth field in a system model. It cannot be applied to a chaotic system that has a continuous but undifferentiable nonlinearity, e.g., Chua's circuit. This drawback is removed via dither smoothing techniques; then, the controlled system may work for previously unworkable nonlinearities.

Original languageEnglish
Pages (from-to)51-58
Number of pages8
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume239
Issue number1-2
DOIs
StatePublished - 23 Feb 1998

Keywords

  • Chua's circuit
  • Differential geometric method
  • Dither
  • Equivalent nonlinearity
  • Saturation

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