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

Zebin Wu and Yanjun Shen

International Journal of Systems Science, 2025, vol. 56, issue 12, 3025-3040

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.

Date: 2025
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DOI: 10.1080/00207721.2025.2467842

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