Modified Lorenz Chaos Synchronization Via Active Sliding Mode Controller

능동 슬라이딩 모드 제어기를 이용한 변형된 Lorenz 카오스 동기화

  • Ryu, Ki-Tak (Offshore Training Team, Korea Institute of Maritime and Fisheries Technology) ;
  • Lee, Yun-Hyung (Education Management Team, Korea Institute of Maritime and Fisheries Technology)
  • 류기탁 (한국해양수산연수원 해양플랜트교육팀) ;
  • 이윤형 (한국해양수산연수원 교육운영팀)
  • Received : 2018.04.25
  • Accepted : 2018.07.06
  • Published : 2018.07.31


Chaos is one of the most significant topics in nonlinear science, and has been intensively studied since the Lorenz system was introduced. One characteristic of a chaotic system is that the signals produced by it do not synchronize with any other system. It therefore seems impossible for two chaotic systems to synchronize with each other, but if the two systems exchange information in just the right way, they can synchronize. This paper addresses the problem of synchronization in a modified Lorenz chaotic system based on active control, sliding mode control, and the Lyapunov stability theory. The considered synchronization scheme consists of identical drive and response generalized systems coupled with linear state error variables. For this, a brief overview of the modified Lorenz chaotic system is given. Then, control rules are derived for chaos synchronization via active control and slide mode control theory, with a strategy for solving the chattering problem. The asymptotic stability of the overall feedback system is established using the Lyapunov stability theory. A set of computer simulation works is presented graphically to confirm the validity of the proposed method.


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