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<p>For the prescribed performance control problem of nonlinear Markov jumping singularly perturbed systems, this article developed an observer-based adaptive neural self-triggered control scheme. At first, the introduction of the modified fixed-time prescribed performance function in the coordinate transformation allows the tracking error to achieve fixed-time convergence. Subsequently, in view of the advantages of fuzzy wavelet neural networks in dealing with uncertainty and analyzing local details, their adoption to approximate unknown dynamics. Additionally, an adaptive output feedback controller with self-triggering characteristics is devised by structuring a self-triggered mechanism and a state observer, which ensures that the overall signals of the closed-loop system are bounded in probability and the tracking error evolves to a prescribed performance envelope at a predefined time, taking into account the bandwidth constraints and the unavailability of the state. Finally, three simulation examples were provided to illustrate the effectiveness of the proposed strategy.</p>

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Observer-based adaptive neural self-triggered control with improved performance assurance for nonlinear Markov jumping singularly perturbed systems

  • 期刊论文

  • 发表日期：

    2026年1月26日

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  • Shuai Song,
  • Junjie Zhang,
  • Xiaona Song

摘要

For the prescribed performance control problem of nonlinear Markov jumping singularly perturbed systems, this article developed an observer-based adaptive neural self-triggered control scheme. At first, the introduction of the modified fixed-time prescribed performance function in the coordinate transformation allows the tracking error to achieve fixed-time convergence. Subsequently, in view of the advantages of fuzzy wavelet neural networks in dealing with uncertainty and analyzing local details, their adoption to approximate unknown dynamics. Additionally, an adaptive output feedback controller with self-triggering characteristics is devised by structuring a self-triggered mechanism and a state observer, which ensures that the overall signals of the closed-loop system are bounded in probability and the tracking error evolves to a prescribed performance envelope at a predefined time, taking into account the bandwidth constraints and the unavailability of the state. Finally, three simulation examples were provided to illustrate the effectiveness of the proposed strategy.