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

Chao Song, Shumin Fei, Jinde Cao and Chuangxia Huang
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Chao Song: School of Automation, Southeast University, Nanjing 210096, China
Shumin Fei: School of Automation, Southeast University, Nanjing 210096, China
Jinde Cao: School of Mathematics, Southeast University, Nanjing 210096, China
Chuangxia Huang: School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha 410114, China

Mathematics, 2019, vol. 7, issue 7, 1-10

Abstract: 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.

Keywords: robust synchronization; fractional-order; output feedback; sliding mode (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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