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<p>This paper presents a novel fixed-time sliding mode control (FSMC) approach aimed at generating highly accurate biased sinusoidal voltages in boost converters. Departing from conventional sliding mode control techniques that employ linear sliding manifolds, the proposed method introduces a geometrically derived nonlinear sliding surface based on a predefined limit cycle. The converter model is initially reformulated into Brunovsky canonical coordinates, which facilitates an analytical characterization of the admissible limit cycle geometry and then systematically embedded into the sliding manifold design. This innovative formulation ensures fixed-time convergence of system trajectories to a stable limit cycle, regardless of initial conditions, while producing output voltages with robust sinusoidal oscillations of adjustable amplitude and bias, which are critical for applications requiring precise periodic reference tracking. Rigorous Lyapunov-based stability analysis, augmented with set stability theory, provides a formal proof of fixed-time. Comprehensive simulation studies demonstrate the effective performance of the proposed method.</p>

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Fixed-time SMC with Limit Cycle-Based Sliding Surface for Biased Sinusoidal Generation in Boost Converters

  • 期刊论文

  • 发表日期：

    2026年4月24日

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  • Meysam Azhdari,
  • Tahereh Binazadeh

摘要

This paper presents a novel fixed-time sliding mode control (FSMC) approach aimed at generating highly accurate biased sinusoidal voltages in boost converters. Departing from conventional sliding mode control techniques that employ linear sliding manifolds, the proposed method introduces a geometrically derived nonlinear sliding surface based on a predefined limit cycle. The converter model is initially reformulated into Brunovsky canonical coordinates, which facilitates an analytical characterization of the admissible limit cycle geometry and then systematically embedded into the sliding manifold design. This innovative formulation ensures fixed-time convergence of system trajectories to a stable limit cycle, regardless of initial conditions, while producing output voltages with robust sinusoidal oscillations of adjustable amplitude and bias, which are critical for applications requiring precise periodic reference tracking. Rigorous Lyapunov-based stability analysis, augmented with set stability theory, provides a formal proof of fixed-time. Comprehensive simulation studies demonstrate the effective performance of the proposed method.