Fault-tolerant consensus for a group of double-integrator agents communicating over directed topology

This paper studies the fault-tolerant consensus problem for a group of double-integrator agents with actuator faults and strongly connected topology. The proposed fault-tolerant consensus protocol is an active fault-tolerant control strategy which consists of a nominal control and an estimation of fault severity. To solve the fault-tolerant consensus problem, a Lyapuov method is employed based on the algebraic connectivity of strongly connected digraph. The results show that the consensus will be achieved if the nominal control is designed properly and the estimation of actuator fault is within a certain accuracy. Finally, a simulation example is given to demonstrate the validity of the theoretical results.