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The robust \(H_2\) performance of discrete-time control systems (DTCS) is investigated in this paper. By applying the transformation of matrix non-singularity, stability conditions for the system with hybrid uncertainties are derived. Meanwhile, combined with the skewed structured singular value and the matrix equivalent expression, the bounds of \(H_2\) performance of discrete-time systems is further solved here. Finally, some examples are provided to demonstrate the validity of derived results.

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The Robust \(H_2\) Performance of Discrete-Time Control Systems with Hybrid Uncertainties

  • 会议论文

  • 发表日期：

    2025年

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  • Xueliang Liu,
  • Yangxuan Li,
  • Jun-Guo Lu,
  • Zhen Zhu,
  • Qing-Hao Zhang,
  • Jinling Wang

摘要

The robust \(H_2\) performance of discrete-time control systems (DTCS) is investigated in this paper. By applying the transformation of matrix non-singularity, stability conditions for the system with hybrid uncertainties are derived. Meanwhile, combined with the skewed structured singular value and the matrix equivalent expression, the bounds of \(H_2\) performance of discrete-time systems is further solved here. Finally, some examples are provided to demonstrate the validity of derived results.