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<p>This paper investigates the extended strictly positive realness of fractional order systems with distributed delay (FOSDDs) and the application to robust control. Firstly, an extended strictly positive real lemma for the nominal FOSDDs is proposed. Then, by utilizing the proposed lemma, a robust extended strictly positive real control condition for the uncertain FOSDDs with norm-bounded uncertainties is derived and the controller is also attained accordingly. Lastly, several numerical examples are provided to verify the effectiveness of the obtained results.</p>

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The Extended Strictly Positive Real Lemma for Fractional Order Systems with Distributed Delay and Application to Robust Control

  • 期刊论文

  • 发表日期：

    2025年3月21日

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  • Yi-Nan Chen,
  • Jun-Guo Lu,
  • Zhen Zhu

摘要

This paper investigates the extended strictly positive realness of fractional order systems with distributed delay (FOSDDs) and the application to robust control. Firstly, an extended strictly positive real lemma for the nominal FOSDDs is proposed. Then, by utilizing the proposed lemma, a robust extended strictly positive real control condition for the uncertain FOSDDs with norm-bounded uncertainties is derived and the controller is also attained accordingly. Lastly, several numerical examples are provided to verify the effectiveness of the obtained results.