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Open AccessArticle

Robust Synchronization of Fractional-Order Uncertain Chaotic Systems Based on Output Feedback Sliding Mode Control

1
School of Automation, Southeast University, Nanjing 210096, China
2
Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, China
3
School of Mathematics, Southeast University, Nanjing 210096, China
4
School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha 410114, China
5
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, China
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(7), 599; https://doi.org/10.3390/math7070599
Received: 27 May 2019 / Revised: 25 June 2019 / Accepted: 3 July 2019 / Published: 5 July 2019
(This article belongs to the Special Issue Impulsive Control Systems and Complexity)
This paper mainly focuses on the robust synchronization issue for drive-response fractional-order chaotic systems (FOCS) when they have unknown parameters and external disturbances. In order to achieve the goal, the sliding mode control scheme only using output information is designed, and at the same time, the structures of a sliding mode surface and a sliding mode controller are also constructed. A sufficient criterion is presented to ensure the robust synchronization of FOCS according to the stability theory of the fractional calculus and sliding mode control technique. In addition, the result can be applied to identical or non-identical chaotic systems with fractional-order. In the end, we build two practical examples to illustrate the feasibility of our theoretical results. View Full-Text
Keywords: robust synchronization; fractional-order; output feedback; sliding mode robust synchronization; fractional-order; output feedback; sliding mode
MDPI and ACS Style

Song, C.; Fei, S.; Cao, J.; Huang, C. Robust Synchronization of Fractional-Order Uncertain Chaotic Systems Based on Output Feedback Sliding Mode Control. Mathematics 2019, 7, 599.

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