Exponential synchronization of chaotic systems subject to uncertainties in the control input

Jui Sheng Lin, Teh-Lu Liao, Jun J. Yan, Meei Ling Hung

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

A sliding mode control technique is introduced for exponential synchronization of chaotic systems. These systems are described by a general form including matched and unmatched nonlinear functions. A new hitting-free switching surface of proportional-integral type is proposed. This type of switching surface is without the hitting process if the attraction of sliding manifold is ensured. This property makes it easy to exponentially synchronize the master-slave chaotic systems. Based on this switching surface, a robust sliding mode controller (SMC) is derived to guarantee the attraction of sliding manifold even when the system is subjected to input uncertainties. An example is included to illustrate the results developed in this paper.

Original languageEnglish
Pages (from-to)2441-2449
Number of pages9
JournalApplied Mathematics and Computation
Volume216
Issue number8
DOIs
Publication statusPublished - 2010 Jun 15

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Computational Mathematics

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