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An Adaptive H Exponential Lag Synchronization Scheme for Uncertain Disturbed Chaotic Systems

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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.

Keywords: ADAPTIVE CONTROL; CHAOTIC SYSTEMS; H∞ EXPONENTIAL LAG SYNCHRONIZATION; LINEAR MATRIX INEQUALITY (LMI); LYAPUNOV THEORY

Document Type: Research Article

DOI: http://dx.doi.org/10.1166/asl.2011.1889

Publication date: November 1, 2011

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  • ADVANCED SCIENCE LETTERS is an international peer-reviewed journal with a very wide-ranging coverage, consolidates research activities in all areas of (1) Physical Sciences, (2) Biological Sciences, (3) Mathematical Sciences, (4) Engineering, (5) Computer and Information Sciences, and (6) Geosciences to publish original short communications, full research papers and timely brief (mini) reviews with authors photo and biography encompassing the basic and applied research and current developments in educational aspects of these scientific areas.
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