Non-fragile H∞ consensus of linear multi-agent systems with interval-bounded variations

This paper studies the distributed non-fragile H_∞ consensus problems for linear multi-agent systems with external disturbances and unknown initial disturbances under switching weighted balanced directed topologies. The designed controllers are insensitive to multiplicative controller coefficient variations. Sufficient conditions for the existence of the proposed control strategy are also obtained by using linear matrix inequality (LMI) technique. It is worth mentioning that instead of requiring the coupling strength among neighboring agents to be larger than a threshold value as in previous literature, the coupling strength in this paper can be determined by solving some LMIs. Finally, a numerical example is presented to show the effectiveness of the proposed method.