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Entropy 2014, 16(2), 729-746; doi:10.3390/e16020729

Robust Control of a Class of Uncertain Fractional-Order Chaotic Systems with Input Nonlinearity via an Adaptive Sliding Mode Technique

Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China
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Received: 10 December 2013 / Revised: 23 January 2014 / Accepted: 26 January 2014 / Published: 7 February 2014
(This article belongs to the Special Issue Dynamical Systems)
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Abstract

In this paper, the problem of stabilizing a class of fractional-order chaotic systems with sector and dead-zone nonlinear inputs is investigated. The effects of model uncertainties and external disturbances are fully taken into account. Moreover, the bounds of both model uncertainties and external disturbances are assumed to be unknown in advance. To deal with the system’s nonlinear items and unknown bounded uncertainties, an adaptive fractional-order sliding mode (AFSM) controller is designed. Then, Lyapunov’s stability theory is used to prove the stability of the designed control scheme. Finally, two simulation examples are given to verify the effectiveness and robustness of the proposed control approach.
Keywords: fractional-order chaotic system; adaptive sliding mode control; input nonlinearity; unknown bounded uncertainties fractional-order chaotic system; adaptive sliding mode control; input nonlinearity; unknown bounded uncertainties
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Tian, X.; Fei, S. Robust Control of a Class of Uncertain Fractional-Order Chaotic Systems with Input Nonlinearity via an Adaptive Sliding Mode Technique. Entropy 2014, 16, 729-746.

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