4.6 Article

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

Journal

IEEE ACCESS
Volume 8, Issue -, Pages 36113-36119

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2020.2974665

Keywords

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

Funding

  1. National Key Research and Development Program of China [2019YFB1312000]
  2. Fundamental Research Funds for the Central Universities [2019CDXYZDH0014, 2019CDYGZD010, 2019CDCGZDH207, 2019CDCGZDH211]
  3. National Natural Science Foundation of China [61673078]
  4. Basic and Frontier Research Project of Chongqing [cstc2019jcyj-msxmX0418, cstc2017jcyjAX0037]
  5. Graduate Scientific Research and Innovation Foundation of Chongqing, China [CYS19018]
  6. Key Platform Open funding of Chongqing Technology and Business University [KFJJ2019062]

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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.

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