<p>The paper investigates the problem of adaptive fuzzy fixed-time output-feedback control for nonlinear switched systems subject to immeasurable states and arbitrary switching. The trouble of the uncertain nonlinearities is solved by employing fuzzy logic systems, and the problem of immeasurable states is settled by using state observer. In particular, a fixed-time command filter is proposed to solve the computational complexity problem resulted in the repetitive derivatives of the indirect controller. By utilizing the designed filter and the common Lyapunov function technology, an adaptive fuzzy fixed-time output-feedback control strategy is designed. The designed control strategy assures that all the states in the closed-loop system maintain bounded, and the tracking error and the state estimation error converge to a residual set in a fixed time, respectively. Furthermore, the singularity problem is effectively eliminated by utilizing L’Hospital’s rule. Eventually, the validity of the proposed control strategy is demonstrated by the numerical examples.</p>

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A novel fixed-time command filter-based adaptive fuzzy output-feedback tracking control for switched systems

  • Huanqing Wang,
  • Yuhui Song,
  • Wen Bai

摘要

The paper investigates the problem of adaptive fuzzy fixed-time output-feedback control for nonlinear switched systems subject to immeasurable states and arbitrary switching. The trouble of the uncertain nonlinearities is solved by employing fuzzy logic systems, and the problem of immeasurable states is settled by using state observer. In particular, a fixed-time command filter is proposed to solve the computational complexity problem resulted in the repetitive derivatives of the indirect controller. By utilizing the designed filter and the common Lyapunov function technology, an adaptive fuzzy fixed-time output-feedback control strategy is designed. The designed control strategy assures that all the states in the closed-loop system maintain bounded, and the tracking error and the state estimation error converge to a residual set in a fixed time, respectively. Furthermore, the singularity problem is effectively eliminated by utilizing L’Hospital’s rule. Eventually, the validity of the proposed control strategy is demonstrated by the numerical examples.