<p>In this research, we present an adaptive fuzzy prescribed time second-order sliding mode (SOSM) control strategy designed to address a category of nonlinear system subject to asymmetric output restrictions. The proposed method employs fuzzy logic systems (FLS) to estimate the bounds of uncertainty, thereby relaxing the assumptions and alleviating chattering issues inherent in traditional SOSM methods. To effectively address asymmetric output restrictions, we utilize a robust approach known as the barrier Lyapunov function (BLF). Furthermore, the incorporation of a time-varying scaling function guarantees prescribed-time convergence of the closed-loop system while avoiding the computational singularity issue. By integrating these methodologies and introducing one power integrator technique, the prescribed-time adaptive fuzzy SOSM framework is established. Rigorous analysis based on Lyapunov stability theory substantiates the prescribed-time performance of the controlled system under the designed control scheme, satisfying asymmetric constraints. A notable innovation of this work is the assurance of stability within a prescribed time span, regardless of initial conditions. Finally, numerical simulation outcomes underscore the forcefulness of the designed method.</p>

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Adaptive Fuzzy Prescribed Time SOSM Controller Design Under Asymmetric Output Constraints

  • Xin Ji,
  • Shihong Ding,
  • Keqi Mei,
  • Chen Ding,
  • Enhui Lu,
  • Hong Miao

摘要

In this research, we present an adaptive fuzzy prescribed time second-order sliding mode (SOSM) control strategy designed to address a category of nonlinear system subject to asymmetric output restrictions. The proposed method employs fuzzy logic systems (FLS) to estimate the bounds of uncertainty, thereby relaxing the assumptions and alleviating chattering issues inherent in traditional SOSM methods. To effectively address asymmetric output restrictions, we utilize a robust approach known as the barrier Lyapunov function (BLF). Furthermore, the incorporation of a time-varying scaling function guarantees prescribed-time convergence of the closed-loop system while avoiding the computational singularity issue. By integrating these methodologies and introducing one power integrator technique, the prescribed-time adaptive fuzzy SOSM framework is established. Rigorous analysis based on Lyapunov stability theory substantiates the prescribed-time performance of the controlled system under the designed control scheme, satisfying asymmetric constraints. A notable innovation of this work is the assurance of stability within a prescribed time span, regardless of initial conditions. Finally, numerical simulation outcomes underscore the forcefulness of the designed method.