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Finite-time transient control of uncertain nonlinear systems based on prescribed performance and disturbance observer
AIMS Mathematics 2025, 10(11): 25137-25153
Published: 03 November 2025
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For uncertain nonlinear systems with dead-zone input, this paper focuses on designing a disturbance observer-based adaptive fuzzy finite-time prescribed performance controller. To meet practical requirements, a fixed-time disturbance observer is constructed to estimate the system uncertainties. To confine the tracking error within a predefined range, a finite-time performance function is introduced. Subsequently, the constrained problem is transformed into a stability problem via a transformation function. Based on Lyapunov stability theory, the proposed control method can ensure that the closed-loop signals are bounded and the tracking error is restricted within the prescribed range. The simulation results confirm the validity of the proposed approach.

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