期刊名称：Proceedings of the Latvian Academy of Sciences, Section B. Natural, exact, and applied sciences, B dala. Dabaszinatnes
印刷版ISSN：1407-009X
电子版ISSN：1407-009X
出版年度：2017
卷号：71
期号：1-2
页码：69-77
DOI：10.1515/prolas-2017-0012
语种：English
出版社：The Academy
摘要：Fractional-order chaotic unified systems include a variety of fractional-order chaotic systems such as Chen, Lorenz, Lu, Liu, and financial systems. This paper describes a sliding mode controller for synchronisation of fractional-order chaotic unified systems in the presence of uncertainties and external disturbances, and affirms the stability of the controller (which is composed of error dynamics). Moreover, the synchronisation of two separate fractional-order chaotic systems is studied. For this aim, fractional integral sliding surface is defined. Then the sliding mode control rule for stability of error dynamic is presented based on the Lyapunov stability theorem. Simulation results, obtained by using MATLAB, show that the proposed sliding mode has employed an appropriate approach against uncertainties and to reduce the chattering phenomenon that often occurs with sliding mode controllers.
