Adaptive sliding control for a class of fractional commensurate order chaotic systems
type: Item
instance of: scholarly article
title: Adaptive sliding control for a class of fractional commensurate order chaotic systems
zbMATH Open document ID: 1394.93060
DOI: 10.1155/2015/972914
author: Jian Yuan
author: Bao Shi
author: Zhentao Yu
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper proposes adaptive sliding mode control design for a class of fractional commensurate order chaotic systems. We firstly introduce a fractional integral sliding manifold for the nominal systems. Secondly we prove the stability of the corresponding fractional sliding dynamics. Then, by introducing a Lyapunov candidate function and using the Mittag-Leffler stability theory we derive the desired sliding control law. Furthermore, we prove that the proposed sliding manifold is also adapted for the fractional systems in the presence of uncertainties and external disturbances. At last, we design a fractional adaptation law for the perturbed fractional systems. To verify the viability and efficiency of the proposed fractional controllers, numerical simulations of fractional Lorenz's system and Chen's system are presented.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6927729
Wikidata QID: Q59120100
describes a project that uses: Fractional Order Chaotic Systems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/972914
OpenAlex ID: W2029928212
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description: scientific article; zbMATH DE number 6927729