Theoretical and practical applications of fuzzy fractional integral sliding mode control for fractional-order dynamical system

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• 作者：P. Balasubramaniam (1)
  P. Muthukumar (1)
  K. Ratnavelu (2)
  
  1. Department of Mathematics ; Gandhigram Rural Institute-Deemed University ; Gandhigram ; Dindigul ; Tamil Nadu ; India
  2. Faculty of Science ; Institute of Mathematical Sciences ; University of Malaya ; 50603 ; Kuala Lumpur ; Malaysia
  
• 关键词：Chaos ; Fractional ; order system ; Fuzzy logic ; Sliding mode control ; Synchronization
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：80
• 期：1-2
• 页码：249-267
• 全文大小：2,896 KB
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• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

This paper proposes a fuzzy fractional integral sliding mode control for synchronizing fractional-order dynamical systems with mismatched fractional orders. It is applied to synchronize the fractional-order modified coupled dynamos chaotic systems. Synchronization between two identical fractional order, different fractional orders, integer order and fractional-order modified coupled dynamos chaotic systems have been demonstrated. For practical applications, these derived synchronized fractional-order chaotic systems are utilized to develop a novel cryptosystem for an image encryption and decryption. Numerical simulations are provided to verify the significance of theoretical analysis.