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<p>We consider a state feedback regulation problem for nonlinear systems with multiple unknown time-varying delays in the input. The considered perturbed nonlinearity has feedforward terms and unknown growth rate. To deal with unknown multiple delays, we propose a newly designed adaptive state feedback controller by utilizing the dynamic gain. We also describe how this system can be globally regulated using our control method and Lyapunov stability analysis. The effectiveness of our method is clearly illustrated via numerical and practical examples under known time-varying multiple delays.</p>

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Regulation of Feedforward Nonlinear Systems Under Unknown Time-varying Multiple Delays via Dynamic Gain Control

  • 期刊论文

  • 发表日期：

    2025年3月10日

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  • Sang-Young Oh,
  • Ho-Lim Choi

摘要

We consider a state feedback regulation problem for nonlinear systems with multiple unknown time-varying delays in the input. The considered perturbed nonlinearity has feedforward terms and unknown growth rate. To deal with unknown multiple delays, we propose a newly designed adaptive state feedback controller by utilizing the dynamic gain. We also describe how this system can be globally regulated using our control method and Lyapunov stability analysis. The effectiveness of our method is clearly illustrated via numerical and practical examples under known time-varying multiple delays.