Impulsive Synchronization of Fractional-Order Chaotic Systems With Actuator Saturation and Control Gain Error

Abstract

This paper investigates the impulsive synchronization scheme of fractional-order chaotic systems with actuator saturation and control gain error. Based on the theory of fractional order system and impulsive differential system, discontinuous Lyapunov stability and matrix inequality approach, some new sufficient conditions are derived to guarantee the impulsive synchronization of a general class of fractional order chaotic systems. It is worth mentioning that the actuator saturation and control gain error are discussed simultaneously, which is more rigorous and practical in real systems. Finally, some simulation results verify the correctness and effectiveness of the theoretical results.

Keywords

• Fractional-order chaotic systems
• impulsive synchronization
• control gain error
• actuator saturation