Synchronization of two fractional-order chaotic systems via nonsingular terminal fuzzy sliding mode control
type: Item
instance of: scholarly article
title: Synchronization of two fractional-order chaotic systems via nonsingular terminal fuzzy sliding mode control
zbMATH Open document ID: 1400.93053
DOI: 10.1155/2017/9562818
author: Xiaona Song
author: Shuai Song
author: Ines Tejado Balsera
author: Leipo Liu
author: Lei Zhang
published in: Journal of Control Science and Engineering
publication date: 2018-10-15T00:00:00Z
review text: Summary: The synchronization of two fractional-order complex chaotic systems is discussed in this paper. The parameter uncertainty and external disturbances are included in the system model, and the synchronization of the considered chaotic systems is implemented based on the finite-time concept. First, a novel fractional-order nonsingular terminal sliding surface which is suitable for the considered fractional-order systems is proposed. It is proven that once the state trajectories of the system reach the proposed sliding surface they will converge to the origin within a given finite time. Second, in terms of the established nonsingular terminal sliding surface, combining the fuzzy control and the sliding mode control schemes, a novel robust single fuzzy sliding mode control law is introduced, which can force the closed-loop dynamic error system trajectories to reach the sliding surface over a finite time. Finally, using the fractional Lyapunov stability theorem, the stability of the proposed method is proven. The proposed method is implemented for synchronization of two fractional-order Genesio-Tesi chaotic systems with uncertain parameters and external disturbances to verify the effectiveness of the proposed fractional-order nonsingular terminal fuzzy sliding mode controller.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 34H10
zbMATH DE Number: 6954300
zbMATH Keywords: synchronization
zbMATH Keywords: fractional-order chaotic systems
zbMATH Keywords: fuzzy sliding mode control
describes a project that uses: Sprott's Software
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/9562818
OpenAlex ID: W2745850496
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description: scientific article; zbMATH DE number 6954300