Fault-tolerant Consensus in Integrator Networks with Assignment of Agreement Law and Dynamics

The paper deals with a particular consensus problem stated for networks where the agents are identical single or double integrators, which share a partial information on their states according to a given topology. The further assumption is made that faults may occur in the communication apparatuses of the agents. Moreover, it is required that the agreement laws and the dominant dynamics on the consensus manifolds are arbitrarily prespecified and are not to be affected by the faults. For this problem, explicit solutions are given in terms of highgain regulators.