Distributed fuzzy consensus of uncertain topology structure multi-agent systems with non-identical partially unknown control directions

Abstract

This paper mainly studies the consensus problem for a class of multi-agent systems with uncertain topology structure and non-identical partially unknown control directions. Aiming at uncertain topology structure and unknown control directions, T-S fuzzy model and Nussbaum function are used, respectively. Under the assumption that uncertain topology structure is fuzzy union connected and only a small portion of followers have access to the information of leader, some new control protocols are presented to solve the consensus problem for the first-order and second-order nonlinear multi-agent systems, respectively. Furthermore, the designed consensus protocols can be extended to the formation control. At last, the validity of the proposed methods is verified by four simulation examples.