Adaptive output synchronization of networked positive real infinite dimensional systems using adaptive functional estimation

This paper considers the synchronization of identical structurally perturbed infinite dimensional systems. Due to the structured perturbations, represented by nonlinear functions of output signals, a standard synchronization via standard consensus protocols cannot provide any form of agreement unless one removes the presence of structured perturbations. When the structured perturbations are estimated adaptively, via an adaptive functional estimation scheme, the inclusion of their adaptive estimates facilitates and enhances the synchronization of the networked systems. Adaptive consensus protocols are applied to both the synchronization controllers ensuring that all networked systems agree with each other, and to the functional estimates ensuring that all functional estimates are synchronized.