Abstract: By using the fractionalorder finitetime stability theory, and constructing a proper fractionalorder slidingmode hyper surface, a fractionalorder controller with finitetime control was designed to realize the slidingmode synchronization control of generalized driveresponse Sprott-C systems. Combined with adaptive control strategy, the unknown parameters and the upper bounds of disturbance were accurately estimated by using parameter update laws. The correctness and validity of the results were verified by MATLAB numerical simulation with appropriate control and system parameters.

Key words: finitetime stability theory, fractionalorder, slidingmode control, parameter estimation, adaptive control