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
Externally publishedYes

Fingerprint

Lag Synchronization
Exponential Synchronization
Chaotic systems
Uncertain Systems
Chaotic System
Synchronization
Controllers
Controller
disturbance
Unknown Parameters
Disturbance
guarantee
Linear matrix inequalities
Lyapunov Theory
matrix
Law
Matrix Inequality
Linear Inequalities
parameter
Norm

Keywords

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

ASJC Scopus subject areas

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

Cite this

An adaptive H exponential lag synchronization scheme for uncertain disturbed chaotic systems. / Ahn, Choon Ki.

In: Advanced Science Letters, Vol. 4, No. 11-12, 01.11.2011, p. 3755-3760.

Research output: Contribution to journalArticle

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