Consensus of Multi-agent Systems with Signal Amplitude Constraint in Communication

Consensus problem of multi-agent systems with communication channel constraint is studied by providing a special Laplacian of directed graphs in this paper. Communication delays as one kind of channel constrains in multi-agent systems have been discussed in the recent literature. Different from those works, consensus problem with communication channel constraint on signal amplitude is addressed in this paper. Our work shows that the consensus can be obtained as long as some state-dependent switching parameters are introduced into the consensus protocol. It is shown that the system given by the proposed protocol can reach globally asymptotically consensus and that the system can also achieve a generalized average-consensus if the directed graph is balanced. An example has been proposed to illustrate the effectiveness of the method.