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Robust synchronization of master-slave chaotic systems using approximate model: An experimental study.

Hafiz Ahmed1, Ivan Salgado2, Héctor Ríos3

  • 1School of Mechanical, Aerospace and Automotive Engineering, Coventry University, Coventry, CV1 5FB, UK.

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|January 15, 2018
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Summary
This summary is machine-generated.

This study achieves robust synchronization of chaotic systems using a novel Continuous Singular Terminal Sliding-Mode (CSTSM) controller. The method employs ultra-local models and higher-order sliding-mode differentiators for effective state estimation and control.

Keywords:
Chaotic systemsMaster-slave synchronizationModel-free controlRobust synchronizationSliding-mode

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Area of Science:

  • Control Systems Engineering
  • Nonlinear Dynamics
  • Chaos Theory

Background:

  • Master-slave chaotic systems exhibit complex, unpredictable behavior.
  • Achieving robust synchronization is crucial for secure communication and signal processing applications.
  • Existing synchronization methods often require full state information or are sensitive to noise.

Purpose of the Study:

  • To develop a robust output feedback control strategy for synchronizing master-slave chaotic systems.
  • To utilize the ultra-local model concept for approximating system dynamics.
  • To design a Continuous Singular Terminal Sliding-Mode (CSTSM) controller for enhanced synchronization performance.

Main Methods:

  • Obtaining an approximate model of the error system using the ultra-local model concept.
  • Designing a Continuous Singular Terminal Sliding-Mode (CSTSM) controller.
  • Employing a fixed-time higher-order sliding-mode (HOSM) differentiator for state estimation from system outputs.
  • Implementing an output feedback control scheme.

Main Results:

  • The proposed CSTSM controller effectively achieves robust synchronization between master and slave chaotic systems.
  • The use of ultra-local models simplifies system representation for control design.
  • The HOSM differentiator provides accurate state estimation, even with output measurements.
  • Numerical simulations and experimental results validate the controller's effectiveness.

Conclusions:

  • The presented output feedback control strategy ensures robust synchronization of chaotic systems.
  • The combination of ultra-local modeling and CSTSM control offers a powerful approach for chaos synchronization.
  • The fixed-time HOSM differentiator is a key component for practical implementation using only system outputs.