Finite-time impulsive consensus tracking control of nonlinear multi-agent systems

Abstract

In this paper, the problems of finite-time consensus (FTC) tracking control for nonlinear multi-agent systems (MAS) with impulsive effects are discussed, in which the stabilizing and destabilizing impulses are considered, respectively. Based on the theories of impulsive control and Lyapunov functional, some new Lyapunov criteria are given to ensure finite-time impulsive consensus tracking of the considered systems. Meanwhile, serval novel impulse-dependent settling time estimation protocols are developed, which is different from the existing results without using the average impulsive interval method. In addition, these protocols sufficiently use the information in the impulsive effects and the impulse time sequence, and can directly quantify the impact of the impulsive effects on consensus tracking performance. A numerical example is presented to illustrate the effectiveness of obtained results.