Comparative analysis and FPGA realization of different control synchronization approaches for chaos-based secured...

Area of Science:

• Control Theory
• Chaos Synchronization
• Secure Communication Systems

Background:

• Chaotic system synchronization is crucial for secure communication.
• Comparing control strategies for hyperchaotic systems is essential for practical applications.
• Field-Programmable Gate Arrays (FPGAs) offer efficient hardware implementation for control systems.

Purpose of the Study:

• To implement and comparatively analyze Adaptive nonlinear and Linear Optimal Quadratic Regulator (LQR) controllers for synchronizing two identical four-dimensional hyperchaotic systems.
• To evaluate controller performance based on response time, squared error integration, energy consumption, and cost function.
• To assess the robustness of synchronization methods against parameter variations and initial condition changes.

Main Methods:

• Numerical simulations using Matlab/Simulink to derive control laws.
• Comparative performance analysis based on defined metrics (response time, error, energy, cost).
• Hardware implementation and resource utilization assessment on FPGA platforms.

Main Results:

• The Linear Optimal Quadratic Regulator (LQR) controller exhibited higher effectiveness compared to the Adaptive nonlinear controller.
• LQR demonstrated a faster response time and lower integrated squared error.
• LQR requires fewer hardware resources and is simpler to implement on FPGAs.

Conclusions:

• The LQR controller is a more efficient and practical choice for synchronizing chaotic systems in secure communication applications.
• The findings are generalized to three-dimensional chaotic systems, confirming LQR's advantages.
• FPGA implementation highlights LQR's suitability for real-time, resource-constrained systems.