An adaptive H exponential lag synchronization scheme for uncertain disturbed chaotic systems

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, the problem of adaptive H exponential lag synchronization (AHELS) for chaotic systems with unknown parameters and external disturbances is studied. Based on Lyapunov theory and linear matrix inequality (LMI) formulation, the AHELS controller is designed and an analytic expression of the controller with its adaptive laws of parameters is shown. The proposed AHELS controller can guarantee adaptive exponential lag synchronization of both drive and response systems with unknown parameters. Furthermore, this controller reduces the effect of external disturbances to an H norm constraint. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)3755-3760
Number of pages6
JournalAdvanced Science Letters
Volume4
Issue number11-12
DOIs
Publication statusPublished - 2011 Nov 1

Keywords

  • Adaptive Control
  • Chaotic Systems
  • H Exponential Lag Synchronization
  • Linear Matrix Inequality (LMI)
  • Lyapunov Theory

ASJC Scopus subject areas

  • Computer Science(all)
  • Health(social science)
  • Mathematics(all)
  • Education
  • Environmental Science(all)
  • Engineering(all)
  • Energy(all)

Fingerprint Dive into the research topics of 'An adaptive H <sub>∞</sub> exponential lag synchronization scheme for uncertain disturbed chaotic systems'. Together they form a unique fingerprint.

  • Cite this