Adaptive repetitive learning synchronization of uncertain fractional order multi-scroll chaotic systems
SUN Mei-mei
HU Yun-an
WEI Jian-ming
Abstract：The adaptive repetitive learning synchronization problem of uncertain fractional order multi-scroll chaotic systems is investigated in this paper. A novel kind of fractional order multi-scroll chaotic system is designed by using hysteresis function, where the number of the scroll can be adjusted by different design parameters. The synchronization problem of this class of systems with non-parametric uncertainty, periodic time-varying parametric uncertainty, constant parametric uncertainty and external disturbances is considered and a repetitive learning based synchronization controller is presented. Adaptive neural network technique is utilized to compensate for the non-parametric uncertainty of the system, periodic time-varying parametric uncertainty is dealt with by adaptive repetitive learning scheme and the neural network approximation errors and external disturbance are handled by adaptive robust learning term. The synchronization error convergence is proven by using frequency distribution models scheme combing with Lyapunov-like energy function. Nu-merical simulation is given to verify the validity of the proposed method.
Keywords：fractional orderchaotic systemsrepetitive learning controlsynchronization
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 936-944 )