Fixed-Time Consensus Control Strategy for a Class of Nonlinear MAS

In this paper, a fuzzy adaptive fixed-time asymptotic consistent control scheme is developed for a class of nonlinear multi-agent systems (NMASs) with a non-strict-feedback (NSF) structure. In the control process, a fixed-time consistency control method without control singularity is proposed by combining fuzzy logic systems (FLSs) with good approximation capability, fixed-time stability theory, and plus power integration techniques. Then, by using Barbalat's Lemma, the asymptotic stability of tracking errors and the boundedness of the controlled systems are successfully achieved, which means that the tracking errors can converge to zero in a fixed time. Finally, the effectiveness of the designed control scheme is demonstrated by a simulation example.