Boundary control for consensus of nonlinear leaderless multi-agent systems based on PDE-ODEs

This paper studies a class of leaderless consensus of nonlinear multi-agent system based on semi-linear coupled partial differential equations-ordinary differential equations. An effective boundary controller based on collocated measurement strategy is investigated to ensure the MAS achieves consensus. And we obtained sufficient conditions for the proposed control method in terms of linear matrix inequality. Finally, a numerical example is desinged to verify the feasibility of the theory by using matlab tool.