Observer-based approach for controlling chaotic systems

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Abstract

This paper presents a nonlinear state observer for a class of nonlinear systems which have an output dependent nonlinearity. By the observer design scheme proposed herein, an observer-based linear state feedback control approach is then derived to stabilize this class of systems. Analysis results indicate that both error dynamics and the subsequent closed-loop system can be made exponentially stable. The control strategy is also applied to two well-known chaotic systems: Rössler chaos and Lorenz chaos. Numerical simulations demonstrate the effectiveness of the proposed scheme.

Original languageEnglish
Pages (from-to)1604-1610
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume57
Issue number2
DOIs
Publication statusPublished - 1998 Jan 1

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

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