Robust Synchronization of Fractional-Order Hyperchaotic Systems Subjected to Input Nonlinearity and Unmatched External Perturbations

Teh-Lu Liao,Jen-Fuh Chang,Jun-Juh Yan

doi:10.1155/2014/517916

Abstract

This paper investigates the robust synchronization problem for a class of fractional-order hyperchaotic systems subjected to unmatched uncertainties and input nonlinearity. Based on the sliding mode control (SMC) technique, this approach only uses a single controller to achieve chaos synchronization, which reduces the cost and complexity for synchronization control implementation. As expected, the error states can be driven to zero or into predictable bounds for matched and unmatched perturbations, respectively, even with input nonlinearity.

Highlights

Synchronization, which means “designing a system whose behavior mimics that of another chaotic system,” has become more and more interesting topic to engineering and science communities [1]
We focus on system (1) since it is a hyperchaotic system with more complicated dynamical behavior
This paper aims to design a robust synchronization controller such that the response system, even with unmatched external perturbations and input nonlinearity, is able to mimic the behavior of the drive chaotic system

Summary

Introduction

Synchronization, which means “designing a system whose behavior mimics that of another chaotic system,” has become more and more interesting topic to engineering and science communities [1]. Due to the potential applications in physics and engineering, many methods have been presented to achieve synchronization for fractionalorder chaotic systems such as sliding mode control [12, 13], H∞ control method [14], and active control [15], among many others [16, 17]. All synchronization schemes in the above-mentioned papers for fractional-order chaotic systems are derived on the basis of the ideal assumption of control input or matched external perturbations. For designing a robust control, sliding mode control is frequently adopted due to its inherent advantages of easy realization, fast response, good transient performance, and being insensitive to variation in plant parameters or external disturbances [20, 21]. The dynamics of controlled systems in the sliding manifold is still influenced by unmatched perturbations

Objectives

Methods

Conclusion