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In this article, the adaptive fuzzy predefined-time (PT) consensus is explored for the second-order switched multi-agent system (MAS) with input saturation and uncertainties. The proposed method ensures that the consensus error achieves a user-defined accuracy within a predefined time. To address input saturation, a PT auxiliary signal is devised to adaptively estimate and compensate for the saturation approximation error, enabling the consensus controller to achieve both anti-saturation and PT tracking performance. In addition, fuzzy logic systems and adaptive laws are adopted to approximate unknown system dynamics. By employing the multiple Lyapunov function method, conditions on switching signals are derived to ensure the boundedness of all closed-loop signals within a predefined time. Finally, simulations are conducted to verify the effectiveness and merits of the developed control strategy.
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Shi et al. (2025) studied this question.
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