期刊
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
卷 68, 期 7, 页码 2503-2507出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2021.3055753
关键词
Synchronization; Chaotic communication; Calculus; Stability criteria; Asymptotic stability; Trajectory; Numerical stability; Variable-order fractional chaotic systems; projective synchronization; sliding mode control; finite-time stability
资金
- NSCF [62003231, 61803279]
- NCF of Shandong Province [ZR2019MF027]
- NCF of Jiangsu Province [BK20200989]
- NCF for colleges and universities in Jiangsu Province [20KJB120005]
- China Scholarship Council (CSC) [202006330047]
This brief introduces a method for addressing the problem of finite-time projective synchronization of variable-order fractional chaotic systems using sliding mode control. The method involves designing novel sliding surfaces and control strategies to ensure system stability and obtaining a criterion for finite-time stability.
This brief intends to tackle the problem of finite-time projective synchronization of variable-order fractional (VOF) chaotic systems through sliding mode control (SMC) method. Firstly, for the VOF unperturbed chaotic systems, the novel VOF integral- and derivative-type sliding surface have been designed with the aid of the theory of VOF calculus, respectively. Secondly, the VOF control strategies are proposed which rely on the corresponding sliding surface to guarantee the projective error systems to be asymptotically stable in finite-time. Furthermore, by utilizing two transformations of VOF calculus, a novel finite-time stability criterion is also obtained, i.e., the upper boundary of reaching time is derived. In the end, a numerical study is taken to illustrate the superiority of the proposed method.
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