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<p>In this paper, fuzzy state-feedback controller is designed for fuzzy linear dynamical systems, where system dynamics are characterized by a linear model with fuzzy uncertainty in the form of fuzzy numbers. Fuzzy pole placement is investigated through state-feedback design where the desired poles are fuzzy numbers. This means that a region is assumed as the desired or target region, rather than points as the target poles. A crisp gain matrix is calculated in a way that placement of fuzzy eigenvalues within the desired regions is ensured for all possible values of fuzzy uncertainty. Furthermore, we propose the necessary and sufficient conditions for the stabilization of the fuzzy closed-loop system through state feedback. A Numerical example is provided to corroborate the theoretical results.</p>

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A Note on State Feedback Control of Uncertain Linear Systems With Fuzzy Dynamics

  • 期刊论文

  • 发表日期：

    2025年6月28日

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  • Nasrin Eisaabadi,
  • Khosro Khandani,
  • Razieh Abdollahipour

摘要

In this paper, fuzzy state-feedback controller is designed for fuzzy linear dynamical systems, where system dynamics are characterized by a linear model with fuzzy uncertainty in the form of fuzzy numbers. Fuzzy pole placement is investigated through state-feedback design where the desired poles are fuzzy numbers. This means that a region is assumed as the desired or target region, rather than points as the target poles. A crisp gain matrix is calculated in a way that placement of fuzzy eigenvalues within the desired regions is ensured for all possible values of fuzzy uncertainty. Furthermore, we propose the necessary and sufficient conditions for the stabilization of the fuzzy closed-loop system through state feedback. A Numerical example is provided to corroborate the theoretical results.