Cooperative output regulation for a network of parabolic systems with varying parameters

Abstract This paper is concerned with the cooperative output regulation problem for a network of agents different dynamics described by parabolic PDEs subject to spatially- and time-varying parameters. Firstly, networked controller designed achieving synchronization identical finite-dimensional reference models, which deliver state global model required agents. The latter can be local disturbances acting in-domain, on all boundaries anti-collocated controlled. solved designing feedback regulators requires solution regulator equations design disturbance observers systems coefficients. For this, systematic backstepping approach provided it shown that exponential convergence ensured resulting multi-agent system. results are applied heterogeneous four in presence disturbances.