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<p>This paper investigates the exponential stability of nonlinear singularly perturbed hybrid systems with non-uniform sampling. First of all, a hybrid sampling model is established for a class of nonlinear singularly perturbed hybrid systems with unstable subsystems through the design of a data-driven mechanism and sampling controller. Then, the exponential stability is analyzed for the established model by constructing a Lyapunov function which depends on the sampling interval and singular perturbation parameter. Furthermore, a novel method is proposed to compute the bounds of sampling interval and the value of singular perturbation parameter, and the relationship is connected between sampling interval and singular perturbation parameter. Finally, by using a DC motor model and a nonlinear system, we verify the effectiveness of the proposed results.</p>

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Non-uniformly sampled data for data-driven analysis of nonlinear singularly perturbed hybrid systems

  • 期刊论文

  • 发表日期：

    2025年2月9日

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  • Yan He,
  • Defu Zhu,
  • Yang Wang,
  • Junwei Sun,
  • Lei Mo

摘要

This paper investigates the exponential stability of nonlinear singularly perturbed hybrid systems with non-uniform sampling. First of all, a hybrid sampling model is established for a class of nonlinear singularly perturbed hybrid systems with unstable subsystems through the design of a data-driven mechanism and sampling controller. Then, the exponential stability is analyzed for the established model by constructing a Lyapunov function which depends on the sampling interval and singular perturbation parameter. Furthermore, a novel method is proposed to compute the bounds of sampling interval and the value of singular perturbation parameter, and the relationship is connected between sampling interval and singular perturbation parameter. Finally, by using a DC motor model and a nonlinear system, we verify the effectiveness of the proposed results.