Fractional Order Adaptive Fixed-Time Sliding Mode Controller for Synchronization of Fractional Order Chaotic Permanent Magnet Synchronous Motors

Abstract

This paper presents a fractional-order adaptive fixed-time sliding mode controller for the synchronization of chaotic dynamics in permanent magnet synchronous motors (PMSMs). PMSMs, commonly used in electric vehicles, robotics, and aerospace, are prone to chaotic behavior under parameter variations and external disturbances, which can degrade performance and stability. Existing control strategies, such as conventional sliding mode control (SMC) and fractional-order controllers, have limitations, including chattering, slow convergence, and sensitivity to uncertainties. The proposed controller integrates fractional calculus into the sliding mode framework to improve control performance by accounting for the memory effects of PMSM dynamics. The controller ensures fixed-time convergence, guaranteeing that the system reaches the desired state within a fixed-time, regardless of initial conditions. Additionally, an adaptive mechanism adjusts the control parameters online, providing robustness against disturbances and parameter uncertainties. Simulation results demonstrate the superior performance of the proposed controller compared to existing methods, showing faster convergence, improved stability, and reduced chattering. The proposed controller proves effective in both synchronization and control scenarios, making it a promising solution for chaotic suppression in PMSMs across various operating conditions.

Keywords

• Fixed-time stability
• chaotic synchronization
• fractional order sliding mode
• adaptive control

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