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Non-fragile practical prescribed-time output feedback stabilization for nonlinear systems with unknown measurement noise

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  • Zebin Wu
  • Yanjun Shen

Abstract

This paper addresses the problem of non-fragile prescribed-time output feedback stabilization for a class of nonlinear systems with unknown measurement noise. Two Lyapunov matrix inequalities with uncertainties are introduced to mitigate disturbances in controller gains and noise in the measurement sensor. A novel high-gain function with a segmented adaptive law is proposed to ensure prescribed-time stability. Based on this, a non-fragile output feedback controller is designed to ensure that all signals in the closed-loop system remain bounded within a prescribed time and asymptotically converge at the origin. Finally, two simulation examples are provided to validate the effectiveness of the proposed control strategy.

Suggested Citation

  • Zebin Wu & Yanjun Shen, 2025. "Non-fragile practical prescribed-time output feedback stabilization for nonlinear systems with unknown measurement noise," International Journal of Systems Science, Taylor & Francis Journals, vol. 56(12), pages 3025-3040, September.
    • Handle: RePEc:taf:tsysxx:v:56:y:2025:i:12:p:3025-3040
    DOI: 10.1080/00207721.2025.2467842
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