Modeling of a non-linear multi-agent distributed control system

The goal of our research aims to develop a mathematical model for consensus control system based on Lyapunov Theory and nonlinear dynamics functional equations. This paper describes a new solution that deals with the general-consensus problem and the leader-following consensus problem of non-linear multi-agent system (NMAS) in which the parameters of all follower agents can be different, and with an unforced agent as the leader in the multi-agent system (MAS). Different control rules were constructed for each different follower agent based on its own state variables and its communication with adjacent agents. Finally, numerical simulations are provided to demonstrate the feasibility of the developed mathematical model. The results have demonstrated the designed distributed control system satisfy the Lyapunov Theory since all the agents have converged to its steady state after a period of time.