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Predefined Time Synchronization Control for Uncertain Chaotic Systems.

Yun Liu1, Fang Zhu2

  • 1School of Finance and Mathematics, Huainan Normal University, Huainan 232038, China.

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|March 14, 2022
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Summary
This summary is machine-generated.

This study achieves predefined time synchronization for uncertain chaotic systems using fuzzy logic and varying-time terminal sliding mode control. The proposed method ensures master-slave system synchronization within a specified time, confirmed by simulations.

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Area of Science:

  • Control Systems Engineering
  • Nonlinear Dynamics
  • Chaos Theory

Background:

  • Chaotic systems exhibit sensitive dependence on initial conditions, making synchronization challenging.
  • Achieving synchronization within a predefined time is crucial for many applications but difficult with unknown system parameters.
  • Existing methods often lack guarantees for fixed-time or predefined-time convergence.

Purpose of the Study:

  • To address the predefined time synchronization problem for uncertain chaotic systems.
  • To develop a control strategy that accounts for unknown control gain functions.
  • To enable master-slave chaotic system synchronization within a predetermined finite time.

Main Methods:

  • Utilizing fuzzy logic systems to approximate unknown nonlinear functions.
  • Implementing varying-time terminal sliding mode control (VT-SMC) for robust state tracking.
  • Designing a controller that ensures convergence to synchronization in a predefined time interval.

Main Results:

  • The proposed controller successfully achieves predefined time synchronization between the master and slave chaotic systems.
  • The method is effective even when the control gain function is unknown.
  • Simulation results validate the theoretical framework and controller performance.

Conclusions:

  • The developed fuzzy logic-based VT-SMC approach provides an effective solution for predefined time synchronization of uncertain chaotic systems.
  • This research contributes a novel control strategy with guaranteed finite-time convergence.
  • The findings have potential implications for secure communication and complex system modeling.