Distributed adaptive fuzzy control approach for prescribed-time containment of uncertain nonlinear multi-agent systems with unknown hysteresis

Unknown hysteresis cannot be ignored in containment control, but the problem of prescribed-time containment for uncertain nonlinear multi-agent systems with unknown hysteresis remains unsolved. This paper mainly investigates this problem. At first, to achieve prescribed-time convergence of containment errors and reduce overshoot of containment errors, a prescribed-time convergence technique is proposed. Then, considering unknown nonlinear function and completely unknown hysteresis in uncertain nonlinear multi-agent systems, by introducing Nussbaum function, the fuzzy logic systems and backstepping technique, we propose a novel distributed adaptive fuzzy control method to ensure all containment errors converge to a predefined zone in a prescribed time. Finally, stability analysis and simulation results confirm the proposed control method is effective.

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