Design of a sliding mode controller for synchronization of fractional-order chaotic systems with different structures

Based on the sliding mode control and adaptive control theory, this paper investigated the synchronization of fractional-order chaotic systems with different structures. A fractional order integral sliding surface with strong robustness was designed, and an adaptive sliding controller was proposed for synchronization of fractional-order chaotic systems with different structures. Numerical simulations of the synchronization of Liu chaotic system and Arneodo chaotic system, and the synchronization of Chen chaotic system and Liu chaotic system were conducted respectively. The simulation results verify the validity and feasibility of the adaptive sliding controller.