Distributed consensus tracking with reduced interaction via impulsive algorithms

In this paper, distributed consensus tracking problems with a dynamic leader are studied via impulsive control approach. Only partial measurements of the active leader and the followers are available at sampling instants. By using the stability theory of impulsive systems, we present some necessary and sufficient conditions to ensure consensus tracking of the controlled systems. It is shown that the control gains, the sampling period and the interaction graph play key roles in achieving the consensus tracking. A numerical example is given for illustration.