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Output-Feedback Controller Based Projective Lag-Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities

Author

Listed:
  • Abdesselem Boulkroune
  • Sarah Hamel
  • Farouk Zouari
  • Abdelkrim Boukabou
  • Asier Ibeas

Abstract

This paper solves the problem of projective lag-synchronization based on output-feedback control for chaotic drive-response systems with input dead-zone and sector nonlinearities. This class of the drive-response systems is assumed in Brunovsky form but with unavailable states and unknown dynamics. To effectively deal with both dead-zone and sector nonlinearities, the proposed controller is designed in a variable-structure framework. To online learn the uncertain dynamics, adaptive fuzzy systems are used. And to estimate the unavailable states, a simple synchronization error is constructed. To prove the stability of the overall closed-loop system (controller, observer, and drive-response system) and to design the adaptation laws, a Lyapunov theory and strictly positive real (SPR) approach are exploited. Finally, three academic examples are given to show the effectiveness of this proposed lag-synchronization scheme.

Suggested Citation

  • Abdesselem Boulkroune & Sarah Hamel & Farouk Zouari & Abdelkrim Boukabou & Asier Ibeas, 2017. "Output-Feedback Controller Based Projective Lag-Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-12, March.
    • Handle: RePEc:hin:jnlmpe:8045803
    DOI: 10.1155/2017/8045803
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