Adaptive variable structure control for chaos suppression of unified chaotic systems

Yung Ching Hung; Teh-Lu Liao; Jun Juh Yan

doi:10.1016/j.amc.2008.12.058

Adaptive variable structure control for chaos suppression of unified chaotic systems

Yung Ching Hung, Teh-Lu Liao, Jun Juh Yan

Department of Engineering Science

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

This paper investigates the chaos suppression problem for a class of unified chaotic systems subject to uncertainties and control input with dead-zone nonlinearity. Using the variable structure control technique, a robust adaptive control law is established to suppress chaos in a class of unified chaotic systems even with unknown uncertainties and dead-zone nonlinearity in input. In particular, a switching surface is newly proposed to simplify the task of ensuring the stability of the closed-loop system in the sliding mode. Numerical results validate the effectiveness of the proposed adaptive control scheme.

Original language	English
Pages (from-to)	391-398
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	209
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2008.12.058
Publication status	Published - 2009 Mar 15

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2008.12.058

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N2 - This paper investigates the chaos suppression problem for a class of unified chaotic systems subject to uncertainties and control input with dead-zone nonlinearity. Using the variable structure control technique, a robust adaptive control law is established to suppress chaos in a class of unified chaotic systems even with unknown uncertainties and dead-zone nonlinearity in input. In particular, a switching surface is newly proposed to simplify the task of ensuring the stability of the closed-loop system in the sliding mode. Numerical results validate the effectiveness of the proposed adaptive control scheme.

AB - This paper investigates the chaos suppression problem for a class of unified chaotic systems subject to uncertainties and control input with dead-zone nonlinearity. Using the variable structure control technique, a robust adaptive control law is established to suppress chaos in a class of unified chaotic systems even with unknown uncertainties and dead-zone nonlinearity in input. In particular, a switching surface is newly proposed to simplify the task of ensuring the stability of the closed-loop system in the sliding mode. Numerical results validate the effectiveness of the proposed adaptive control scheme.

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Adaptive variable structure control for chaos suppression of unified chaotic systems

Abstract

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