PD-type Distributed ILC Protocol of Consensus for Nonlinear Multi-agent System with Fuzzy Topology Structure

This paper deals with the exact consensus issue of a class of nonlinear multi-agent systems (MASs) with imprecise communication graph, a PD-type distributed iterative learning control strategy is constructed by modeling the imprecise topology as a T-S fuzzy graph. It is guaranteed that the exact consensus of leader-followers can get on the fixed time interval. Based on the graph theory, a sufficient condition of exact consensus over the time interval for the MAS is given by the compressing mapping framework. The convergence can be achieved with the existence of the control gain matrices. Finally, a numerical example illustrates the effectiveness of the theorems.