๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Design of sliding mode controller for a class of fractional-order chaotic systems

โœ Scribed by Chun Yin; Shou-ming Zhong; Wu-fan Chen

Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
797 KB
Volume
17
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, a sliding mode control law is designed to control chaos in a class of fractionalorder chaotic systems. A class of unknown fractional-order systems is introduced. Based on the sliding mode control method, the states of the fractional-order system have been stabled, even if the system with uncertainty is in the presence of external disturbance. In addition, chaos control is implemented in the fractional-order Chen system, the fractionalorder Lorenz system, and the same to the fractional-order financial system by utilizing this method. Effectiveness of the proposed control scheme is illustrated through numerical simulations.

๐Ÿ“œ SIMILAR VOLUMES

Second-order terminal sliding mode contr
Second-order terminal sliding mode controller for a class of chaotic systems with unmatched uncertainties
โœ Wei Xiang; Yugao Huangpu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 342 KB

This paper is concerned with the stabilization problem for a class of nonlinear systems. Using second-order sliding mode control approach, a robust control scheme is established to make the states of system to zero or into predictable bounds for matched and unmatched uncertainties, respectively. Mea

Fractional terminal sliding mode control
Fractional terminal sliding mode control design for a class of dynamical systems with uncertainty
โœ Sara Dadras; Hamid Reza Momeni ๐Ÿ“‚ Article ๐Ÿ“… 2012 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 842 KB

A novel type of control strategy combining the fractional calculus with terminal sliding mode control called fractional terminal sliding mode control is introduced for a class of dynamical systems subject to uncertainties. A fractional-order switching manifold is proposed and the corresponding contr