Continuous Adaptive Finite-Time Sliding Mode Control for Fractional-Order Buck Converter Based on Riemann-Liouville...

Area of Science:

• Electrical Engineering
• Control Theory
• Nonlinear Systems

Background:

• Fractional-order dynamics are crucial for modeling electronic components accurately.
• Existing Buck converter control methods often struggle with parameter uncertainties and external disturbances.
• The Riemann-Liouville (R-L) definition offers a more effective modeling approach than the Caputo definition for Buck converters.

Purpose of the Study:

• To develop a continuous adaptive finite-time fractional-order sliding mode control method for fractional-order Buck converters.
• To address parameter uncertainties and external disturbances using adaptive algorithms.
• To ensure a chattering-free response and finite-time convergence for the Buck converter system.

Main Methods:

• A fractional-order Buck converter model based on the R-L definition was developed.
• Adaptive algorithms were designed to estimate and compensate for unknown bounded disturbances.
• A continuous finite-time sliding mode controller was designed using a backstepping method.
• Fractional-order Lyapunov theory was employed for stability analysis.

Main Results:

• The proposed controller demonstrated robustness against parameter uncertainties and external disturbances.
• The system achieved finite-time convergence for both the reaching and sliding phases.
• The controller provided a chattering-free response.
• Simulation results validated the effectiveness and robustness of the proposed control strategy.

Conclusions:

• The developed continuous adaptive finite-time fractional-order sliding mode control method is effective for Buck converters.
• The approach successfully handles unknown bounded disturbances and ensures finite-time stability.
• This method offers a significant advancement in the control of fractional-order systems.