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<p>This paper presents a novel methodology for the design of robust <i>ℋ</i><sub>∞</sub> and <i>ℋ</i><sub>2</sub> static output feedback (SOF) controllers for discrete-time linear systems. The proposed approach begins with the definition of an extended state feedback (ESF) controller and the formulation of a linear matrix inequality (LMI) condition for its design. Subsequently, an initial SOF control gain is derived using the ESF controller, followed by iterative LMI optimization to achieve a less conservative SOF controller. The effectiveness and superiority of the proposed method are demonstrated through comparative examples where existing methods either fail or produce more conservative results.</p>

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Static Output Feedback ℋ∞ and ℋ2 Control for Discrete-time Linear Systems

  • 期刊论文

  • 发表日期：

    2025年8月13日

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  • Dongyeop Kang,
  • Chan-eun Park

摘要

This paper presents a novel methodology for the design of robust ℋ∞ and ℋ2 static output feedback (SOF) controllers for discrete-time linear systems. The proposed approach begins with the definition of an extended state feedback (ESF) controller and the formulation of a linear matrix inequality (LMI) condition for its design. Subsequently, an initial SOF control gain is derived using the ESF controller, followed by iterative LMI optimization to achieve a less conservative SOF controller. The effectiveness and superiority of the proposed method are demonstrated through comparative examples where existing methods either fail or produce more conservative results.