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<p>This study addresses the challenge of sliding mode control in switched singularly perturbed systems, leveraging dynamic event-triggering protocols. An innovation sojourn probability model is provided, which accounts for partially unknown factors, to more accurately represent the switching of system modes in practical engineering scenarios. Additionally, a dynamic event-triggered protocol, tailored to the singularly perturbed parameter, is designed to minimize communication load and enhance the reliability of the communication network. Moreover, the construction of a sliding mode control law guarantees the stochastic stability of the closed-loop system, considering the partially unknown sojourn probabilities, and ensures the attainment of the designated sliding mode surface. Eventually, two illustrative examples are applied, accompanied by relevant discussions, to demonstrate the effectiveness of the attained results.</p>

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Sliding mode control for switched singularly perturbed systems with partly unknown sojourn probabilities

  • 期刊论文

  • 发表日期：

    2025年4月25日

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  • Jianlin Bai,
  • Jun Cheng,
  • Huaicheng Yan,
  • Dan Zhang,
  • Wenhai Qi

摘要

This study addresses the challenge of sliding mode control in switched singularly perturbed systems, leveraging dynamic event-triggering protocols. An innovation sojourn probability model is provided, which accounts for partially unknown factors, to more accurately represent the switching of system modes in practical engineering scenarios. Additionally, a dynamic event-triggered protocol, tailored to the singularly perturbed parameter, is designed to minimize communication load and enhance the reliability of the communication network. Moreover, the construction of a sliding mode control law guarantees the stochastic stability of the closed-loop system, considering the partially unknown sojourn probabilities, and ensures the attainment of the designated sliding mode surface. Eventually, two illustrative examples are applied, accompanied by relevant discussions, to demonstrate the effectiveness of the attained results.