期刊
MATHEMATICS
卷 9, 期 8, 页码 -出版社
MDPI
DOI: 10.3390/math9080877
关键词
complete synchronization; fractional-order systems; uncertainty; disturbance; dynamic feedback control method
类别
资金
- Natural Science Foundation of Shandong Province [ZR2018MF016]
- Scientific Research Plan of Universities in Shandong Province [J18KA352]
- Young doctorate Cooperation Fund Project of Qilu University of Technology (Shandong Academy of Sciences) [2019BSHZ0014]
This paper addresses the complete synchronization of fractional-order chaotic systems with model uncertainty and external disturbance. It proposes two dynamic feedback control methods and demonstrates the feasibility of the results using the fractional-order Lorenz system.
This paper is concerned with complete synchronization of fractional-order chaotic systems with both model uncertainty and external disturbance. Firstly, we propose a new dynamic feedback control method for complete synchronization of fractional-order nominal systems (without both uncertainty and disturbance). Then, a new uncertainty and disturbance estimator (UDE)-based dynamic feedback control method for the fractional-order systems with both uncertainty and disturbance is presented, by which the synchronization problem of such fractional-order chaotic systems is realized. Finally, the fractional-order Lorenz system is used to demonstrate the practicability of the proposed results.
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