Next Article in Journal
Modelling and Simulation of Seasonal Rainfall Using the Principle of Maximum Entropy
Next Article in Special Issue
Analysis of Solar Neutrino Data from Super-Kamiokande I and II
Previous Article in Journal
Entropy Best Paper Award 2014
Previous Article in Special Issue
Dynamical Stability and Predictability of Football Players: The Study of One Match
Entropy 2014, 16(2), 729-746; doi:10.3390/e16020729
Article

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

*  and
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)
View Full-Text   |   Download PDF [399 KB, uploaded 24 February 2015]   |   Browse Figures

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 which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Share & Cite This Article

Further Mendeley | CiteULike
Export to BibTeX |
EndNote
MDPI and ACS Style

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.

View more citation formats

Article Metrics

For more information on the journal, click here

Comments

Cited By

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert