Fixed-time consensus algorithms for multi-agent systems with bounded disturbances

This paper investigates the problem of fixed-time consistency consensus for second-order multi-agent systems under bounded disturbances. The proposed control protocol guarantees fixed-time consistency. First, a virtual velocity is proposed and a class of fixed-time consistency control protocols for multi-intelligent systems under bounded perturbations is designed. The multi-agents converge to consistency in fixed time by tracking the virtual velocity, and the upper bound on the convergence time is independent of the initial state. Subsequently, the stability of the control algorithm is demonstrated by using Lyapunov stability theory and algebraic graph theory. The paper also gives sufficient conditions and upper bounds on the convergence time for a multi-intelligent system to achieve fixed-time consistency. Finally, the validity of the proposed fixed-time consistency algorithm and the theoretical results are verified by simulation examples.