Robust Cooperative Output Regulation for a Network of Parabolic PDE Systems

This article considers the robust cooperative output regulation for a network of parabolic PDE systems. The solution to this problem is obtained by extending internal model principle from finite infinite dimensions. For time-invariant digraph describing communication topology, two-step backstepping approach presented systematically design state feedback regulators. allows solve both leader–follower and leaderless synchronization in presence disturbances uncertainty finite-dimensional leader. Solvability conditions are terms graph agent transfer behavior. results demonstrated consisting four uncertain agents with without leader disturbances.